Released this past November, the list is based on data collected from the Web of Science and highlights some of the world’s most influential scientific minds by naming the researchers whose publications over the previous decade have included a high number of Highly Cited Papers placing them among the top 1% most-cited.
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We wish to congratulate all of the researchers named and especially our authors on this amazing accomplishment! We are happy and proud to share in their success!
IntechOpen is proud to announce that 191 of our authors have made the Clarivate™ Highly Cited Researchers List for 2020, ranking them among the top 1% most-cited.
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Throughout the years, the list has named a total of 261 IntechOpen authors as Highly Cited. Of those researchers, 69 have been featured on the list multiple times.
\n\n\n\n
Released this past November, the list is based on data collected from the Web of Science and highlights some of the world’s most influential scientific minds by naming the researchers whose publications over the previous decade have included a high number of Highly Cited Papers placing them among the top 1% most-cited.
\n\n
We wish to congratulate all of the researchers named and especially our authors on this amazing accomplishment! We are happy and proud to share in their success!
Note: Edited in March 2021
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Venkateswarlu",coverURL:"https://cdn.intechopen.com/books/images_new/371.jpg",editedByType:"Edited by",editors:[{id:"58592",title:"Dr.",name:"Arun",surname:"Shanker",slug:"arun-shanker",fullName:"Arun Shanker"}],equalEditorOne:null,equalEditorTwo:null,equalEditorThree:null,productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}],ofsBooks:[]},correction:{item:{id:"68990",slug:"erratum-application-of-design-for-manufacturing-and-assembly-development-of-a-multifeedstock-biodies",title:"Erratum - Application of Design for Manufacturing and Assembly: Development of a Multifeedstock Biodiesel Processor",doi:null,correctionPDFUrl:"https://cdn.intechopen.com/pdfs/68990.pdf",downloadPdfUrl:"/chapter/pdf-download/68990",previewPdfUrl:"/chapter/pdf-preview/68990",totalDownloads:null,totalCrossrefCites:null,bibtexUrl:"/chapter/bibtex/68990",risUrl:"/chapter/ris/68990",chapter:{id:"63204",slug:"application-of-design-for-manufacturing-and-assembly-development-of-a-multifeedstock-biodiesel-proce",signatures:"Ilesanmi Afolabi Daniyan and Khumbulani Mpofu",dateSubmitted:"March 15th 2018",dateReviewed:"July 9th 2018",datePrePublished:"November 5th 2018",datePublished:"January 3rd 2019",book:{id:"7460",title:"Applications of Design for Manufacturing and Assembly",subtitle:null,fullTitle:"Applications of Design for Manufacturing and Assembly",slug:"applications-of-design-for-manufacturing-and-assembly",publishedDate:"January 3rd 2019",bookSignature:"Ancuţa Păcurar",coverURL:"https://cdn.intechopen.com/books/images_new/7460.jpg",licenceType:"CC BY 3.0",editedByType:"Edited by",editors:[{id:"184794",title:"Dr.",name:"Ancuta Carmen",middleName:null,surname:"Păcurar",slug:"ancuta-carmen-pacurar",fullName:"Ancuta Carmen Păcurar"}],productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"}},authors:[{id:"11921",title:"Prof.",name:"Khumbulani",middleName:null,surname:"Mpofu",fullName:"Khumbulani Mpofu",slug:"khumbulani-mpofu",email:"mpofuk@tut.ac.za",position:null,institution:{name:"Tshwane University of Technology",institutionURL:null,country:{name:"South Africa"}}},{id:"260269",title:"Dr.",name:"Ilesanmi Afolabi",middleName:null,surname:"Daniyan",fullName:"Ilesanmi Afolabi Daniyan",slug:"ilesanmi-afolabi-daniyan",email:"afolabiilesanmi@yahoo.com",position:null,institution:null}]}},chapter:{id:"63204",slug:"application-of-design-for-manufacturing-and-assembly-development-of-a-multifeedstock-biodiesel-proce",signatures:"Ilesanmi Afolabi Daniyan and Khumbulani Mpofu",dateSubmitted:"March 15th 2018",dateReviewed:"July 9th 2018",datePrePublished:"November 5th 2018",datePublished:"January 3rd 2019",book:{id:"7460",title:"Applications of Design for Manufacturing and Assembly",subtitle:null,fullTitle:"Applications of Design for Manufacturing and Assembly",slug:"applications-of-design-for-manufacturing-and-assembly",publishedDate:"January 3rd 2019",bookSignature:"Ancuţa Păcurar",coverURL:"https://cdn.intechopen.com/books/images_new/7460.jpg",licenceType:"CC BY 3.0",editedByType:"Edited by",editors:[{id:"184794",title:"Dr.",name:"Ancuta Carmen",middleName:null,surname:"Păcurar",slug:"ancuta-carmen-pacurar",fullName:"Ancuta Carmen Păcurar"}],productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"}},authors:[{id:"11921",title:"Prof.",name:"Khumbulani",middleName:null,surname:"Mpofu",fullName:"Khumbulani Mpofu",slug:"khumbulani-mpofu",email:"mpofuk@tut.ac.za",position:null,institution:{name:"Tshwane University of Technology",institutionURL:null,country:{name:"South Africa"}}},{id:"260269",title:"Dr.",name:"Ilesanmi Afolabi",middleName:null,surname:"Daniyan",fullName:"Ilesanmi Afolabi Daniyan",slug:"ilesanmi-afolabi-daniyan",email:"afolabiilesanmi@yahoo.com",position:null,institution:null}]},book:{id:"7460",title:"Applications of Design for Manufacturing and Assembly",subtitle:null,fullTitle:"Applications of Design for Manufacturing and Assembly",slug:"applications-of-design-for-manufacturing-and-assembly",publishedDate:"January 3rd 2019",bookSignature:"Ancuţa Păcurar",coverURL:"https://cdn.intechopen.com/books/images_new/7460.jpg",licenceType:"CC BY 3.0",editedByType:"Edited by",editors:[{id:"184794",title:"Dr.",name:"Ancuta Carmen",middleName:null,surname:"Păcurar",slug:"ancuta-carmen-pacurar",fullName:"Ancuta Carmen Păcurar"}],productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"}}},ofsBook:{item:{type:"book",id:"9787",leadTitle:null,title:"Multiple Pregnancy",subtitle:null,reviewType:"peer-reviewed",abstract:"
\r\n\tThis book aims to explore one of the interesting subjects that occurs during pregnancy, multiple pregnancy. A multiple pregnancy may be the result of abnormal fertilization of one oocyte, which then splits in order to create two identical fetuses (monozygotic), or it can be the result of fertilization of multiple eggs that then create multiple pregnancy (polyzygotic). We will explore the terminology used in multiple pregnancies.
\r\n
\r\n\tEpidemiologically it has been shown that in recent years there have been increasing numbers of multiple births. In this book, etiology and frequency of multiple pregnancies will be discussed, as well as: Hellin’s low, factors such as age, race, use of fertility drugs, induction of ovulation and assisted reproductive technology procedures. Abnormal cases of multiple pregnancy such as vanishing, conjoined, chimerism, parasitic twins, will be also covered in this book. Multiple pregnancy has many risks and complication such as miscarriage and premature labor. Birth delivery can be done by vaginal rout or via cesarean section.
\r\n
\r\n\tManagement of multiple pregnancy is challenging. Multiple pregnancy might have a major risk for the mother and her fetuses. Bed rest has not been found to change outcomes but it is generally recommended. A special care for women with multiple pregnancy is needed in antenatal period, during delivery, and during care for neonates.
",isbn:null,printIsbn:"979-953-307-X-X",pdfIsbn:null,doi:null,price:0,priceEur:0,priceUsd:0,slug:null,numberOfPages:0,isOpenForSubmission:!1,hash:"eee4abd3e03ba2ca5bbc5d16536d15d5",bookSignature:"Prof. Hassan S Abduljabbar",publishedDate:null,coverURL:"https://cdn.intechopen.com/books/images_new/9787.jpg",keywords:"Twins, Triplets, Monozygotic, Dizygotic, Hellins low, 1/80, Age, Race, Fertility Drugs, Miscarriage, Premature labor, Cervical Suture, Risks, Selective reduction, Bed Rest, Antenatal Care, Neonatal care, Vaginal, Cesarean section, Delivery of the second twin, Delivery, Vanishing, Conjoined, Chimerism, Parasitic",numberOfDownloads:null,numberOfWosCitations:0,numberOfCrossrefCitations:0,numberOfDimensionsCitations:0,numberOfTotalCitations:0,isAvailableForWebshopOrdering:!0,dateEndFirstStepPublish:"December 6th 2019",dateEndSecondStepPublish:"March 16th 2020",dateEndThirdStepPublish:"May 15th 2020",dateEndFourthStepPublish:"August 3rd 2020",dateEndFifthStepPublish:"October 2nd 2020",remainingDaysToSecondStep:"a year",secondStepPassed:!0,currentStepOfPublishingProcess:5,editedByType:null,kuFlag:!1,biosketch:null,coeditorOneBiosketch:null,coeditorTwoBiosketch:null,coeditorThreeBiosketch:null,coeditorFourBiosketch:null,coeditorFiveBiosketch:null,editors:[{id:"68175",title:"Prof.",name:"Hassan",middleName:"S",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar",profilePictureURL:"https://mts.intechopen.com/storage/users/68175/images/system/68175.jpg",biography:"Hassan S. Abduljabbar, MD, FRCSC, is Professor of Obstetrics and Gynecology, King Abdulaziz University, Jeddah, Saudi Arabia. He is president of the Saudi Society of Obstetrics and Gynecology and the Federation of Arab Gynecology Obstetrics Societies.\n\nDr. Abduljabbar graduated from King Abdulaziz University in 1980 and the University of Western Ontario in 1986. He was board certified by the American Board of Obstetrics and Gynecology (ABOG) in 1988.\nHe is a reviewer for many international scientific journals and an examiner of master’s degrees and Ph.D.’s as well as for the Saudi and Arab board exams. \n\nHe has published seventy-five articles and edited several books. He also writes on scientific subjects for local newspapers like Al-Bilad.",institutionString:"King Abdulaziz University",position:null,outsideEditionCount:0,totalCites:0,totalAuthoredChapters:"3",totalChapterViews:"0",totalEditedBooks:"6",institution:{name:"King Abdulaziz University",institutionURL:null,country:{name:"Saudi Arabia"}}}],coeditorOne:null,coeditorTwo:null,coeditorThree:null,coeditorFour:null,coeditorFive:null,topics:[{id:"16",title:"Medicine",slug:"medicine"}],chapters:null,productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"},personalPublishingAssistant:{id:"301331",firstName:"Mia",lastName:"Vulovic",middleName:null,title:"Mrs.",imageUrl:"https://mts.intechopen.com/storage/users/301331/images/8498_n.jpg",email:"mia.v@intechopen.com",biography:"As an Author Service Manager, my responsibilities include monitoring and facilitating all publishing activities for authors and editors. From chapter submission and review to approval and revision, copyediting and design, until final publication, I work closely with authors and editors to ensure a simple and easy publishing process. I maintain constant and effective communication with authors, editors and reviewers, which allows for a level of personal support that enables contributors to fully commit and concentrate on the chapters they are writing, editing, or reviewing. I assist authors in the preparation of their full chapter submissions and track important deadlines and ensure they are met. I help to coordinate internal processes such as linguistic review, and monitor the technical aspects of the process. As an ASM I am also involved in the acquisition of editors. Whether that be identifying an exceptional author and proposing an editorship collaboration, or contacting researchers who would like the opportunity to work with IntechOpen, I establish and help manage author and editor acquisition and contact."}},relatedBooks:[{type:"book",id:"814",title:"Steroids",subtitle:"Basic Science",isOpenForSubmission:!1,hash:"74304f5d822f8f45d4b48a0e00ebd375",slug:"steroids-basic-science",bookSignature:"Hassan Abduljabbar",coverURL:"https://cdn.intechopen.com/books/images_new/814.jpg",editedByType:"Edited by",editors:[{id:"68175",title:"Prof.",name:"Hassan",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"2013",title:"Steroids",subtitle:"Clinical Aspect",isOpenForSubmission:!1,hash:"31dfd32a77f71bc348d7922af48b8e62",slug:"steroids-clinical-aspect",bookSignature:"Hassan Abduljabbar",coverURL:"https://cdn.intechopen.com/books/images_new/2013.jpg",editedByType:"Edited by",editors:[{id:"68175",title:"Prof.",name:"Hassan",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"10485",title:"Fibroids",subtitle:null,isOpenForSubmission:!1,hash:"64ad14b1aba83e47fb100fa63e21533e",slug:"fibroids",bookSignature:"Hassan Abduljabbar",coverURL:"https://cdn.intechopen.com/books/images_new/10485.jpg",editedByType:"Edited by",editors:[{id:"68175",title:"Prof.",name:"Hassan",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"7969",title:"Leiomyoma",subtitle:null,isOpenForSubmission:!1,hash:"659a9fef0f90168b2184c86af85d3a42",slug:"leiomyoma",bookSignature:"Hassan Abduljabbar",coverURL:"https://cdn.intechopen.com/books/images_new/7969.jpg",editedByType:"Edited by",editors:[{id:"68175",title:"Prof.",name:"Hassan",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"7132",title:"Complications of Pregnancy",subtitle:null,isOpenForSubmission:!1,hash:"d2bdac8e99a71feab10bd0b9e1063bb9",slug:"complications-of-pregnancy",bookSignature:"Hassan Abduljabbar",coverURL:"https://cdn.intechopen.com/books/images_new/7132.jpg",editedByType:"Edited by",editors:[{id:"68175",title:"Prof.",name:"Hassan",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"5937",title:"Obstetrics",subtitle:null,isOpenForSubmission:!1,hash:"092197b1191815505a23e7dd1c9edde6",slug:"obstetrics",bookSignature:"Hassan Salah Abduljabbar",coverURL:"https://cdn.intechopen.com/books/images_new/5937.jpg",editedByType:"Edited by",editors:[{id:"68175",title:"Prof.",name:"Hassan",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"6550",title:"Cohort Studies in Health Sciences",subtitle:null,isOpenForSubmission:!1,hash:"01df5aba4fff1a84b37a2fdafa809660",slug:"cohort-studies-in-health-sciences",bookSignature:"R. 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\n\t\t\t
1. Introduction
\n\t\t\t
Perhaps the most troubling enigma in modern natural sciences is the principle contradiction that exists between quantum mechanics and Relativity theory (Greene, 2003) ; Indeed, this principle incompatibility between Quantum Mechanics and Relativity Theory propelled Einstein to relentlessly pursuit a \'Unified Field Theory\' (Einstein, 1929, 1931, 1951) and subsequently prompted an intensive search for a \'Theory of Everything\' (TOE) (Bagger & Lambert, 2007; Elis, 1986; Hawkins, 2002; Polchinski, 2007; Brumfiel, 2006). The principle contradictions that exist between quantum mechanics and relativity theory are:
\n\t\t\t
Probabilistic vs. deterministic models of physical reality:
Relativity theory is based on a positivistic model of ‘space-time’ in which an object or an event possesses clear definitive ‘space-time’, ‘energy-mass’ properties and which therefore gives rise to precise predictions regarding the prospective ‘behavior’ of any such object or event (e.g., given an accurate description of its initial system’s state). In contrast, the probabilistic interpretation of quantum mechanics posits the existence of only a ‘probability wave function’ which describes physical reality in terms of complimentary ‘energy-space’ or ‘temporal-mass’ uncertainty wave functions (Born, 1954; Heisenberg, 1927). This means that at any given point in time all we can determine (e.g., at the subatomic quantum level) is the statistical likelihood of a given particle or event to possesses a certain ‘spatial-energetic’ and ‘temporal-mass’ complimentary values. Moreover, the only probabilistic nature of quantum mechanics dictates that this statistical uncertainty is almost ‘infinite’ prior to our measurement of the particle’s physical properties and ‘collapses’ upon our interactive measurement of it into a relatively defined (complimentary) physical state... Hence, quantum mechanics may only provide us with a probabilistic prediction regarding the physical features of any given subatomic event – as opposed to the relativistic positivistic (deterministic) model of physical reality.
“Simultaneous-entanglement” vs. “non-simultaneous-causality” features:
quantum and relativistic models also differ in their (a-causal) ‘simultaneous-entanglement’ vs. ‘non-simultaneous-causal’ features; In Relativity theory the speed of light represents the ultimate constraint imposed upon the transmission of any physical signal (or effect), whereas quantum mechanics advocates the existence of a ‘simultaneous-entanglement’ of quantum effects (e.g., that are not bound by the speed of light constraint). Hence, whereas the relativistic model is based on strict causality – i.e., which separates between any spatial-temporal ‘cause’ and ‘effect’ through the speed of light (non-simultaneous) signal barrier, quantum entanglement allows for ‘a-causal’ simultaneous\n\t\t\t\t\t\teffects that are independent of any light-speed constraint ( Horodecki et al., 2007).
Single vs. multiple spatial-temporal modeling:
\n\t\t\t
Finally, whereas Relativity theory focuses on the conceptualization of only a single spatial point at any given time instant – i.e., which therefore possesses a well defined spatial position, mass, energy, or temporal measures, quantum mechanics allows for the measurement (and conceptualization) of multiple spatial-temporal points (simultaneously) – giving rise to a (probability) ‘wave function’; Indeed, it is hereby hypothesized that this principle distinction between a single\n\t\t\t\tspatial-temporal quantum ‘particle’ or localized relativistic object (or event) and a multi- spatial-temporal quantum ‘wave’ (function) may both shed light on some of the key conceptual differences between quantum and relativistic modeling as well as potentially assist us in bridging the apparent gap between these two models of physical reality (based on a conceptually higher-ordered computational framework).
\n\t\t
\n\t\t
\n\t\t\t
2. The ‘Duality Principle’: Constraining quantum and relativistic \'Self-Referential Ontological Computational System\' (SROCS) paradigms
\n\t\t\t
However, despite these (apparent) principle differences between quantum and relativistic models of physical reality it is hypothesized that both of these theories share a basic ‘materialistic-reductionistic’ assumption underlying their basic (theoretical) computational structure: It is suggested that mutual to both quantum and relativistic theoretical models is a fundamental ‘Self-Referential-Ontological-Computational-System’ (SROCS) structure (Bentwich, 2003a, 2003b, 2003c, 2004, 2006) which assumes that it is possible to determine the ‘existence’ or ‘non-existence’ of a certain ‘y’ factor solely based on its direct physical interaction (PR{x,y}/di1) with another ‘x’ factor (e.g., at the same ‘di1’ computational level), thus:
But, a strict computational-empirical analysis points out that such (quantum and relativistic) SROCS computational structure may also inevitably lead to ‘logical inconsistency’ and inevitable consequent ‘computational indeterminacy’ – i.e., a principle inability of the (hypothesized) SROCS computational structure to determine whether the particular ‘y’ element “exists” or “doesn’t exist”: Indeed (as will be shown below) such ‘logical inconsistency’ and subsequent ‘computational indeterminacy’ occurs in the specific case in which the direct physical interaction between the ‘x’ and ‘y’ factors leads to a situation in which the ‘y’ factor “doesn’t exist”, which is termed: a ‘Self-Referential-Ontological-Negative-System’, SRONCS)... However, since there exist ample empirical evidence that both quantum and relativistic computational systems are\n\t\t\t\tcapable of determining whether a particular ‘y’ element (e.g., state/s or value/s) “exists” or “doesn’t exist” then this contradicts the SRONCS (above mentioned) inevitable ‘computational indeterminacy’, thereby calling for a reexamination of the currently assumed quantum and relativistic SROCS/SRONCS computational structure;
\n\t\t\t
Indeed, this analysis (e.g., delineated below) points at the existence of a (new) computational ‘Duality Principle’ which asserts that the computation of any hypothetical quantum or relativistic (x,y) relationship/s must take place at a conceptually higher-ordered computational framework ‘D2’ – e.g., that is (in principle) irreducible to any direct (or even indirect) physical interaction between the (quantum or relativistic) ‘x’ and ‘y’ factors (but which can nevertheless determine the association between any two given ‘x’ and ‘y’ factors) (Bentwich, 2003a, 2003b, 2003c, 2004, 2006a, 2006b).
\n\t\t\t
In the case of Relativity theory, such basic SROCS computational structure pertains to the computation of any spatial-temporal or energy-mass value/s of any given event (or object) – solely based on its direct physical interaction with any hypothetical (differential) relativistic observer; We can therefore represent any such (hypothetical) spatial-temporal or energy-mass value/s (of any given event or object) as a particular ‘Phenomenon’: ‘P[s-t (i...n), e-m (i...n)]’; Therefore, based on the (above) relativistic ‘materialistic-reductionistic’ assumption whereby the specific value of any (spatial-temporal or energy-mass) ‘Phenomenon’ value is computed solely based on its direct physical interaction (‘di1’) with a specific (hypothetical differential) relativistic observer, we obtain the (above mentioned) SROCS computational structure:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\td\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE2
\n\t\t\t
Hence, according to the above mentioned SROCS computational structure the relativistic SROCS computes the “existence” or “non-existence” of any particular ‘Phenomenon’ (e.g., specific ‘spatial-temporal’ or ‘energy-mass’ ‘i’ value/s of any given object/event) – solely based upon the direct physical interaction (PR.../di1) between the potential (exhaustive hypothetical) values of this Phenomenon (\'P[s-t (i...n), e-m (i...n)]\') and any hypothetical differential relativistic observer; But, note that the relativistic SROCS computational structure assumes that it is solely through the direct physical interaction between any series of (hypothetical differential) relativistic observer/s and the Phenomenon’s (entire spectrum of possible spatial-temporal or energy-mass) value/s – that a particular ‘Phenomenon’ (spatial-temporal or energy mass) value is computed. The relativistic SROCS computational structure assumes that it is solely through the direct physical interaction between any series of (hypothetical differential) relativistic observer/s and the Phenomenon’s (entire spectrum of possible spatial-temporal or energy-mass) value/s – that the particular ‘Phenomenon’ (spatial-temporal or energy-mass) value is computed. But, a thorough analysis of this SROCS computational structure indicates that in the specific case in which the direct physical interaction between any hypothetical differential relativistic observer/s and the Phenomenon’s whole spectrum of potential values – leads to the “non-existence” of all of the other ‘space-time’ or ‘energy-mass’ values that were not measured by a particular relativistic observer (\'O-i\') (at the same \'di1\' computational level):
However, this SRONCS computational structure inevitably leads to the (above mentioned) ‘logical inconsistency’ and ‘computational indeterminacy’:
\n\t\t\t
This is because according to this SRONCS computational structure all of the other ‘Phenomenon’ values (e.g., ‘space-time’ or ‘energy-mass values) – which do not correspond to the specifically measured ‘space-time’ or ‘energy-mass’ {i} values (i.e., that are measured by a particular corresponding ‘O-diff-i relativistic observer): P[{s-t ≠ i} or {e-m ≠ i}] are necessarily computed by the SRONCS paradigmatic structure to both “exist” AND “not exist” – at the same ‘di1’ computational level: according to this SRONCS computational structure all of the other ‘Phenomenon’ values (e.g., ‘space-time’ or ‘energy-mass values) – which do not correspond to the specifically measured ‘space-time’ or ‘energy-mass’ {i} values (i.e., that are measured by a particular corresponding ‘O-diff-i relativistic observer): P[{s-t ≠ i} or {e-m ≠ i}] are necessarily computed by the SRONCS paradigmatic structure to both “exist” AND “not exist” – at the same ‘di1’ computational level:
But, given the SROCS/SRONCS strong ‘materialistic-reductionistic’ working assumption – i.e., that the computation of the “existence” or “non-existence” of the particular P[{s-t ≠ i}, {e-m ≠ i}] values solely depends on its direct physical interaction with the series of (potential) differential observers at the ‘di1’ computational level, then the above SRONCS computational assertion that the particular P[{s-t ≠ i}, {e-m ≠ i}] values both “exist” and “don’t exist” at the same ‘di1’ computational level inevitably also leads to both ‘logical inconsistency’ and a closely linked ‘computational indeterminacy’ – e.g., conceptual computational inability of such ‘di1’ computational level to determine whether the P[{s-t ≠ i}, {e-m ≠ i}] values “exist” or “doesn’t exist”...
\n\t\t\t
But, since there exists ample relativistic empirical evidence pointing at the capacity of any relativistic observer to determine whether or not a particular ‘P[{s-t ≠ i}, {e-m ≠ i}]’ “exists” or “doesn’t exist”, then a novel (hypothetical) computational ‘Duality Principle’ asserts that the determination of the “existence” or “non-existence” of any given P[s-t (i...n), e-m (i...n)] can only be computed at a conceptually higher-ordered ‘D2’ computational level e.g., that is in principle irreducible to any direct or even indirect physical interactions between the full range of possible ‘Phenomenon’ values ‘P[s-t (i...n), e-m (i...n)]’ and any one of the potential range of (differential) relativistic observers:
Note that the computational constraint imposed by the Duality Principle is conceptual in nature – i.e., as it asserts the conceptual computational inability to determine the “existence” or “non-existence” of any (hypothetical) ‘Phenomenon’ (e.g., ‘space-time’ event/s or ‘energy-mass’ object value/s) from within its direct physical interaction with any (hypothetical) differential relativistic observer; Indeed, a closer examination of the abovementioned SROCS/SRONCS relativistic computational structure may indicate that the computational constraint imposed by the Duality Principle is not limited to only direct physical interaction between any ‘Phenomenon’ (e.g., space-time or energy-mass value/s) and any (hypothetical) differential relativistic observer/s, but rather extends to any direct or indirect physical interaction (between any such ‘Phenomenon’ and any potential differential relativistic observer/s); In order to prove this broader applicability of the computational Duality Principle – as negating the possibility of determining the “existence” or “non-existence” of any such ‘Phenomenon’ from within its direct or indirect physical interaction/s with any (hypothetical) differential relativistic observer/s (e.g., but only from a conceptually higher-ordered hypothetical computational level ‘D2’) let us assume that it is possible to determine the precise value/s of any given ‘Phenomenon’ based on its indirect interaction with another intervening variable (or computational level) ‘d2’ (which may receive any information or input/s or effect/s etc. from any direct physical interaction/s between the given ‘Phenomenon’ and any hypothetical differential relativistic observer at the ‘di1’ level);
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\td\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi2\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE7
\n\t\t\t
But, a closer analysis of the this hypothetical ‘di2’ (second) intervening computational level (or factor/s) as possibly being able to determine whether any particular space-time event or energy-mass object “exists” or “doesn’t exist” may indicate that it precisely replicates the same SROCS/SRONCS (‘problematic’) computational structure which has been shown to be constrained by the (novel) computational ‘Duality Principle’. This is because despite the (new) assumption whereby the computation of the “existence” or “non-existence” of any particular ‘Phenomenon’ (e.g., space-time or energy-mass) value is computed at a different ‘di2’ computational level (or factor/s etc.), the SROCS/SRONCS intrinsic\n\t\t\t\t‘materialistic-reductionistic’ computational structure is such that it assumes that the determination of the “existence”/”non-existence” of any particular Phenomenon value/s is ‘solely caused’ (or ‘determined’) by the direct physical interaction between that ‘Phenomenon’ and any hypothetical (differential) relativistic observer/s, which is represented by the causal arrow “→” embedded within the relativistic SROCS/SRONCS computational structure :
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\td\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi2\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE8
\n\t\t\t
Thus, even though the direct physical interaction between the ‘Phenomenon’ and the differential relativistic observer seem to take place at the ‘di1’ computational level whereas the determination of the “existence”/”non-existence” of a particular Phenomenon value appears to be carried out at a different ‘di2’ computational level, the actual (embedded) computational structure still represents a SROCS/SRONCS paradigm. This is because even this new SROCS/SRONCS computational structure still maintains the strict ‘materialistic-reductionistic’ working assumption whereby it is solely the direct physical interaction between the Phenomenon and the differential relativistic observer that determines the “existence”/”non-existence” of a particular Phenomenon value; An alternate way of proving that the SROCS/SRONCS computational structure remains unaltered (e.g., even when we assume that the computation of the “existence” or “non-existence” of the particular ‘Phenomenon’ value may take place at another ‘di2’ computational level) is based on the fact that due to its (above mentioned) ‘materialistic-reductionistic’ working hypothesis – the determination of the “existence” or “non-existence” of the particular ‘Phenomenon’ value is solely computed based on the information obtained from the direct physical interaction between the ‘Phenomenon’ and the series of potential differential observers (at the ‘di1’ computational level); Hence, in effect there is a total contingency of the determination of the “existence”/”non-existence” of the particular ‘Phenomenon’ value (at the hypothetical ‘di2’ computational level) upon the direct physical interaction between this ‘Phenomenon’ and any differential relativistic observer (at the ‘di1’ level) which therefore does not alter the ‘di1’ SROCS computational structure, and may be expressed thus:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSRONCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\td\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tt \n\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm \n\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1 or di2\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE9
\n\t\t\t
(Note: precisely due to the above mentioned total “existence”/”non-existence” of the particular Phenomenon value (i) at ‘di2’ upon input from the Phenomenon’s direct physical interaction with any differential relativistic observer at ‘di1’ it may be more convenient to formally represent this SROCS computational structure as occurring altogether – either at the ‘di1’ or ‘di2’ computational level, as presented above);
\n\t\t\t
However, as proven by the Duality Principle (above), given the fact that there exists ample empirical evidence indicating the capacity of relativistic (computational) systems to determine whether a particular ‘Phenomenon’ (space-time or energy-mass) value “exists” or “doesn’t exist”, then the broader extension of the Duality Principle evinces that it is not possible (e.g., in principle) to determine such “existence” or “non-existence” of any particular ‘Phenomenon’ (e.g., space-time or energy-mass) value from within any direct or indirect physical interaction/s between any such ‘Phenomenon’ and any (hypothetical) series of differential relativistic observer/s; Instead, the ‘Duality Principle’ postulates that the determination of any ‘Phenomenon’ (e.g., ‘space-time’ or energy-mass) values can only be determined by a conceptually higher ordered ‘D2’ computational level which is capable of determining the ‘co-occurrence/s’ of specific Phenomenon values and corresponding differential relativistic observers\' measurements (e.g., and which is irreducible to any direct or indirect physical interactions between such differential relativistic observer/s and any Phenomenon value/s):
Hence, a thorough reexamination of Relativity’s SROCS computational structure (e.g., which assumes that the determination of any ‘space-time’ or ‘energy-mass’ Phenomenon value is solely determined based on that particular event’s or object’s direct or indirect physical interaction/s with any one of a series of potential relativistic observers) has led to the recognition of a (novel) computational ‘Duality Principle’; This \'Duality Principle\' proves that it is not possible (in principle) to determine any such space-time or energy-mass ‘Phenomenon’ values based on any hypothetical direct or indirect physical interaction between such ‘Phenomenon’ and any hypothetical series of (differential) relativistic observer/s; Rather, according to this novel computational Duality Principle the determination of any space-time or energy-mass relativistic value can only be computed based on a conceptually higher-ordered ‘D2’ computational level (e.g., which is again in principle irreducible to any hypothetical direct or indirect physical interaction between any differential relativistic observer/s and any space-time or energy-mass Phenomenon); Such conceptually higher-ordered \'D2\' computational level is also postulated to compute the ‘co-occurrences’ of any‘differential relativistic observer/s’ and corresponding ‘Phenomenon’ (e.g., space-time or energy-mass value/s)...
\n\t\t\t
Intriguingly, it also hypothesized that the same precise SROCS/SRONCS computational structure may underlie the quantum probabilistic interpretation of the ‘probability wave function’ and ‘uncertainty principle’; Indeed, it is hereby hypothesized that precisely the same SROCS/SRONCS computational structure may pertain to the quantum mechanical computation of the physical properties of any given subatomic ‘target’ (\'t\') (e.g., assumed to be dispersed all along a probability wave function) which is hypothesized to be determined solely through its direct physical interaction with another subatomic complimentary ‘probe’ (P(‘e/s’ or ‘t/m’)) entity, thus:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE11
\n\t\t\t
In a nutshell, it is suggested that this SROCS/SRONCS computational structure accurately represents the (current) probabilistic interpretation of quantum mechanics in that it describes the basic working hypothesis of quantum mechanics wherein it is assumed that the determination of the particular (complimentary) ‘spatial-energetic’ or ‘temporal-mass’ values of any given subatomic ‘target’ particle – i.e., which is assumed to be dispersed probabilistically all along the probability wave function’s (complimentary) spatial-energetic and temporal-mass values, occurs through the direct physical interaction of such probability wave function dispersed ‘target’ entity with another subatomic measuring ‘probe’ element; Moreover, it is assumed that this direct physical interaction between the probability wave function dispersed ‘target’ element and the subatomic probe element constitutes the sole (computational) means for the “collapse” of the target’s probability wave function to a singular complimentary target value: This inevitably produces a SROCS computational structure which possesses the potential of expressing a SRONCS condition, thus:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSRONCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tnot\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE12
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wherein the probabilistically distributed ‘target’ element (e.g., all along the complimentary ‘spatial-energetic’ or ‘temporal-mass’ probability wave function) which possesses all the possible spectrum of such ‘spatial-energetic’ or ‘temporal-mass’ values: t [s/e (i...n), t/m (i...n)] “collapses” – solely as a result of its direct physical interaction with another subatomic ‘probe’ element (which also possesses complimentary ‘spatial-energetic’ and ‘temporal-mass’ properties); Indeed, it is this assumed direct physical interaction between the subatomic ‘probe’ and probabilistically distributed ‘target’ wave function which “collapses” the target’s (complimentary) wave function, i.e., to produce only a single (complimentary) spatial-energetic or temporal-mass measured value (e.g., t [e-s (i), t-m (i)])– which therefore negates all of the other “non-collapsed” spatial-energetic or temporal-mass complimentary values (e.g., ‘not t [e-s (≠i), t-m (≠i)]’) of the target’s (‘pre-collapsed’) wave function!
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But, as we’ve seen earlier (in the case of the relativistic SRONCS), such SRONCS computational structure invariably leads to both ‘logical inconsistency’ and subsequent ‘computational indeterminacy’: This is because the above mentioned SRONCS condition essentially advocates that all of the “non-collapsed” complimentary ‘target’ values (i.e., t [s-e ≠ i or t-m ≠i] seem to both “exist” AND “not exist” at the same ‘di1’ computational level – thereby constituting a \'logical inconsistency\'!? But, since the basic ‘materialistic-reductionistic’ working hypothesis underlying the SROCS/SRONCS computational structure also assumes that the determination of any particular target complimentary (spatial-energetic or temporal-mass) value can only be determined based on the direct physical interaction between the target probability wave function’s distribution and a subatomic ‘probe’ element – e.g., at the same ‘di1’ computational level, then the above mentioned \'logical inconsistency\' invariably also leads to ‘computational indeterminacy’, e.g., a principle inability to determine whether any such “non-collapsed” complimentary ‘target’ values (i.e., t [s-e ≠ i or t-m ≠i]) “exists” or “doesn’t exist”... However, as noted above, since there exists ample empirical evidence indicating the capacity of quantum (computational) systems to determine whether any such t [e-s (i…n), t-m (i…n)] quantum target value “exists” or “doesn’t exist” the Duality Principle once again asserts the need to place the computation regarding the determination of any pairs of subatomic complimentary ‘probe’ and ‘target’ values at a conceptually higher-ordered ‘D2’ level (e.g., that is in principle irreducible to any direct physical interactions between them).
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Finally, as shown in the case of the relativistic SROCS/SRONCS paradigm, the conceptual computational constraint imposed by the Duality Principle further expands to include not only strictly ‘direct’ physical interaction/s between the subatomic ‘probe’ and ‘target’ elements but also any other hypothetical ‘indirect’ interaction/s, elements, effects, or even light-signals, information, etc. – that may mediate between these subatomic ‘probe’ and ‘target’ elements;
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This is because even if we assume that the determination of the “existence” or “non-existence” of any particular subatomic ‘target’ (spatial-energetic or temporal-mass) value can occur through a (second intervening or mediating) ‘di2’ computational interaction, entity, process or signal/s transfer we still obtain the same SROCS/SRONCS computational structure which has been shown to be constrained by the computational Duality Principle:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tnot\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi2\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE13
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The rational for asserting that this (novel) computational instant precisely replicates the same SROCS/SRONCS computational structure (e.g., noted above) arises (once again) from the recognition of the strict ‘materialistic-reductionistic’ “causal” connection that is assumed to exist between the direct physical interaction between the subatomic ‘probe’ and target’ elements (e.g., taking place at the ‘di1’ level) and the hypothetical ‘di2’ computational level – and which is assumed to solely determine whether a particular target value ‘t [s/e (i), t/m (i)]’ “exists” or “doesn’t exist”; This is because since the (abovementioned) basic materialistic-reductionistic causal assumption whereby the ‘di2’ determination of the “existence”/”non-existence” of any specific (spatial-energetic or temporal-mass) ‘target’ value is solely determined by the direct ‘probe-target’ physical interaction at the ‘di1’ level value, therefore the logical or computational structure of the (abovementioned) SROCS/SRONCS is replicated; Specifically, the case of the SRONCS postulates the "existence" of the entire spectrum of possible target values t [e-s (i…n), t-m (i…n)] at the ‘di1’ direct physical interaction between the ‘probe’ and ‘target’ entities – but also asserts the “non-existence” of all the “non-collapsed” target values at the ‘di2’ computational level (e.g., ‘not t [e/s (≠i), t/m (≠i)]); This intrinsic contradiction obviously constitutes the abovementioned \'logical inconsistency\' and ensuing \'computational indeterminacy\' (that are contradicted by known empirical findings).
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Indeed, this SRONCS structure is computationally equivalent to the abovementioned SRONCS: PR{P(‘e-s’ or ‘t-m’), t [e-s (i...n), t-m (i...n)]} → ‘not\n\t\t\t\tt [e-s (i), t-m (i)]’]/di1, since the determination of the [‘t [e-s (i), t-m (i)]’ or ‘not t [e-s (i), t-m (i)]’] is solely determined based on the direct physical interaction at ‘di1’. Therefore, also the ‘logical inconsistency’ and ‘computational indeterminacy’ (mentioned above) ensues which is contradicted by robust empirical evidence that inevitably leads to the Duality Principle’s assertion regarding the determination of any (hypothetical) ‘probe-target’ pair/s at a conceptually higher-ordered ‘D2’ computational level:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tD2\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t;\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE14
\n\t\t\t
Therefore, an analysis of the basic SROCS/SRONCS computational structure underlying both relativistic as well as quantum’s computational paradigms has led to the identification of a novel computational ‘Duality Principle’ which constrains each of these quantum and relativistic SROCS/SRONCS computational paradigms and ultimately points at the inevitable existence of a conceptually higher-ordered ‘D2’ computational level; Based upon the Duality Principle’s identification of such a conceptually higher-ordered ‘D2’ computational level (which alone can determine any relativistic ‘Phenomenon’ or any quantum spatial-energetic or temporal-mass target value, it also postulates the computational products of this conceptually higher-ordered ‘D2’ computational level – as the determination of the “co-occurrence” of any relativistic Phenomenon-relativistic observer pair/s or of any quantum ‘probe-target’ (complimentary) pair/s; Thus, the first step towards the hypothetical unification of quantum and relativistic theoretical frameworks within a singular (conceptually higher-ordered) model is the identification of a singular computational ‘Duality Principle\' constraining both quantum and relativistic (underlying) SROCS paradigms and its emerging conceptually higher-ordered singular ‘D2’ computational level (which produces ‘co-occurring’ quantum ‘probe-target’ or relativistic ‘observer-Phenomenon‘ pairs) – as the only feasible computational level (or means) capable of determining any quantum (space-energy or temporal-mass) ‘probe-target’ relationship or any ‘observer-Phenomenon’ relativistic relationship/s.
\n\t\t
\n\t\t
\n\t\t\t
3. ‘D2’: A singular \'a-causal\' computational framework
\n\t\t\t
There are two (key) questions that arise in connection with the discovery of the Duality Principle’s conceptually higher-ordered (novel) ‘D2’ computational framework:
\n\t\t\t
Is there a singular (mutual) ‘D2’ computational level that underlies both quantum and relativistic (basic) SROCS paradigms?
What may be the D2 \'a-causal\' computational framework – which transcends the SROCS\' computational constraints imposed by the Duality Principle?
\n\t\t\t
In order to answer the first question, lets apply once again the conceptual proof of the ‘Duality Principle’ regarding the untenable computational structure of the SROCS – which (it is suggested) is applicable (once again) when we try to determine the physical relationship/s between these two potential quantum and relativistic ‘D2’ computational frameworks; Specifically, the Duality Principle proves that it is not possible (e.g., in principle) to maintain two such “independent” (conceptually higher-ordered) ‘D2’ computational frameworks; Rather, that there can only exist a singular conceptually higher-ordered ‘D2’\n\t\t\t\tcomputational framework which coalesces the above mentioned quantum and relativistic ‘D2’ computational levels; Let’s suppose there exist two “separate” such conceptually higher-ordered computational frameworks: ‘D21’ and ‘D2\n\t\t\t\t2’ as underlying and constraining quantum and relativistic modeling (e.g., as proven above through the application of the Duality Principle to the two principle SROCS/SRONCS computational paradigms underlying current quantum and relativistic modeling). Then, according to the Duality Principle this would imply that in order to be able to determine any hypothetical physical relationship between quantum [‘qi{1}’] and relativistic [‘ri{2}’] entities or processes (i.e., that exist at the above mentioned hypothetical corresponding D21 quantum and D22 relativistic computational levels) – we would necessarily need a conceptually higher-ordered ‘D3’ that is (again in principle) irreducible to the lower-ordered D21(‘qi{1}’) and D22(\'ri{2}\') physical interactions at the D2 computational level. This is because otherwise, the determination of the “existence” or “non-existence” of any such hypothetical quantum or relativistic phenomena would be carried out at the same computational level (‘D2’} as the direct physical interaction between these (hypothetical) quantum and relativistic entities (or processes), thereby precisely replicating the SROCS structure (that was shown constrained by the Duality Principle), thus:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tD2\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tqi\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tD21\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t ri\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tD22\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tqi\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tD21\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t or ri\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tD22\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tor \n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\tnot qi\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tD21\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\tnot ri\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tD22\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tD2\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE15
\n\t\t\t
But, since we already know that the Duality Principle proves the conceptual computational inability to carry out the conceptually higher-ordered computation at the same computational level (e.g., in this case termed: ‘D2’) as the direct physical interaction between any two given elements, then we are forced (once again) to conclude that there must be only one singular conceptually higher-ordered D2 computational level underlying both quantum and relativistic SROCS models. Therefore, we are led to the (inevitable) conclusion whereby there may only exist one conceptually higher-ordered ‘D2’ computational framework which underlies (and constrains) both quantum and relativistic relationships.
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A critical element arising from the computational Duality Principle is therefore the recognition that it is not possible (in principle) to determine (or compute) any quantum or relativistic relationships based on any ‘direct’ physical relationship, (at \'di2’ or indirect physical relationship/s (\'di3\'), (as shown above) that may exist between any hypothetical differential relativistic observer and any hypothetical ‘Phenomenon’ or between any complimentary subatomic ‘probe’ measurement and the target’s (assumed) probability ‘wave-function’; Hence, the untenable SROCS/SRONCS computational structure evident in the case of attempting to determine the (direct or indirect) physical relationship/s between the conceptually higher-ordered ‘D21’ quantum and \'D22\' relativistic computational frameworks once again points at the Duality Principle’s conceptual computational constraint which can only allow for only a singular conceptually higher-ordered ‘D2’ computational framework – as underlying both quantum and relativistic phenomena (which constitutes the answer to the first theoretical question, above).
\n\t\t\t
Next, we consider the second (above mentioned) theoretical question – i.e., provided that (according to the Duality Principle) there can only be a singular conceptually higher-ordered ‘D2’ computational framework as underlying both quantum and relativistic phenomena, what may be its computational characteristics? It is suggested that based on the recognition of the Duality Principle’s singular conceptually higher-ordered ‘D2’ computational framework – which necessarily underlies both quantum and relativistic phenomena, it is also possible to answer the second (above mentioned) question regarding the computational characteristics of such higher-ordered (singular) ‘D2’ framework; Specifically, the Duality Principle’s (above) proof indicates that rather than the existence of any direct (or indirect) ‘materialistic-reductionistic’ physical interaction between any hypothetical differential relativistic \'observer\' and any corresponding \'Phenomena\', or between any complimentary subatomic ‘probe’ element and probability wave function ‘target’ there exists a singular conceptually higher-ordered ‘D2’ computational framework which simply computes the “co-occurrences” of any of these quantum or relativistic (differential) \'observer/s\' and corresponding \'Phenomenon\' value/s or between any quantum subatomic ‘probe’ and ‘target’ elements...
\n\t\t\t
Therefore, the singular conceptually higher-ordered ‘D2’ computational framework produces an “a-causal” computation which computes the ‘co-occurrences’ of any range of quantum ‘probe-target’ or relativistic ‘observer-Phenomenon’ pairs thus:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE16
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tD2\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t;\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\t;\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE17
The key point to be noted (within this context) is that such ‘a-causal’ computation negates or precludes the possibility of any “real” ‘material-causal’ interaction taking place at either quantum or relativistic levels! In other words, the Duality Principle’s negation of the fundamental quantum or relativistic SROCS/SRONCS computational structure (e.g., as invariably leading to both ‘logical inconsistency’ and ‘computational indeterminacy’ that are contradicted by robust quantum and relativistic empirical data) also necessarily negates the existence of any (real) ‘causal-material’ interaction between or within any quantum or relativistic phenomena – e.g., at the conceptually higher-ordered ‘D2’ computational level. In order to prove that the Duality Principle constraining the basic (materialistic-reductionistic) SROCS/SRONCS computational structure also necessarily points at the conceptual computational inability of such SROCS/SRONCS paradigms to determine the existence of any (real) ‘causal-material’ interactions (e.g., between any exhaustive series of x and y factors, interactions etc.) let us reexamine (once again) the SROCS/SRONCS working hypothesis wherein it is possible to determine whether a certain ‘x’ factor ‘causes’ the ‘existence’ or ‘non-existence’ of the particular ‘y’ factor:
\n\t\t\t
Let’s suppose it is possible for the SROCS/SRONCS direct physical (quantum or relativistic) interaction between the ‘x’ and ‘y’ (exhaustive series’) factors to causally determine the ‘existence; or ‘non-existence’ of the ‘y’ factor. In its most general formulation this would imply that:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t:\n\t\t\t\t\t\t PR\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\n\t\t\t\t\t\t/\n\t\t\t\t\t\tdi1\n\t\t\t\t\t\tà\n\t\t\t\t\t\t[\n\t\t\t\t\t\t‘\n\t\t\t\t\t\ty\n\t\t\t\t\t\t’\n\t\t\t\t\t\t or \n\t\t\t\t\t\t‘\n\t\t\t\t\t\tnoty\n\t\t\t\t\t\t]\n\t\t\t\t\t\t’\n\t\t\t\t\t\t/\n\t\t\t\t\t\tdi1\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE19
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But, as we’ve already seen (earlier), such SROCS computational structure invariably also contains the special case of a SRONCS of the form:
However, this SRONCS structure inevitably leads to both ‘logical inconsistency’ and ‘computational indeterminacy’ which are contradicted by empirical findings (e.g., in the case of quantum and relativistic phenomena).
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Therefore, the Duality Principle inconvertibly proves that the basic materialistic-reductionistic SROCS/SRONCS paradigmatic structure underlying the current quantum and relativistic theoretical models must be replaced by a conceptually higher-ordered (singular) ‘D2’ computation which cannot (in principle) contain any SROCS/SRONCS ‘causal-material’ relationships – e.g., wherein any hypothetical ‘y’ element is “caused” by its direct (or indirect) physical interaction with another (exhaustive) X{1...n} series. As pointed out (above), the only such possible conceptually higher-ordered ‘D2’ computation consists of an ‘a-causal association’ between pairs of D2: {(‘xi’, yi)... (‘xn’, ‘yn’)}.
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The essential point to be noted is that the Duality Principle thereby proves the conceptual computational unfeasibility of the currently assumed ‘materialistic-reductionistic’ SROCS/SRONCS structure – including the existence of any hypothetical ‘causal-material’ interaction between any exhaustive ‘x’ and ‘y’ series! This means that in both quantum and relativistic domains the determination of any hypothetical (exhaustive) spatial-temporal event or energy-mass object, or of any complimentary spatial-energetic or temporal subatomic target – there cannot (in principle) exist any ‘causal-material’ interaction between the relativistic event and any differential relativistic observer or between the subatomic probe and target elements... Instead, the Duality Principle proves that the only viable means for determining any such exhaustive hypothetical relativistic or quantum relationship is through the conceptually higher-ordered singular ‘a-causal’ D2 association of certain pairs of spatial-temporal or energy-mass values and corresponding relativistic observer frameworks or between pairs of subatomic probe and corresponding complimentary pairs of spatial-energetic or temporal-mass target values...
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However, if indeed, the entire range of quantum and relativistic phenomena must necessarily be based upon a singular conceptually higher-ordered ‘D2’ computational level – which can only compute the “co-occurrences” of quantum ‘probe-target’ or relativistic ‘observer-Phenomenon’ pairs, but which precludes the possibility of any “real” ‘material-causal’ relationship/s existing between any such quantum (‘probe-target’) or relativistic (‘observer-Phenomenon’) pairs, then this necessitates a potential significant reformulation of both quantum and relativistic theoretical models based on the Duality Principle’s asserted conceptually higher-ordered singular ‘D2’ ‘a-causal’ computational framework; This is because the current formulation of both quantum and relativistic theoretical frameworks is deeply anchored in- and dependent upon- precisely such direct (or indirect) physical interactions between a differential relativistic observer and any hypothetical (range of) ‘Phenomenon’ (e.g., as defined earlier), or between any subatomic (complimentary) ‘probe’ element and a probabilistically dispersed ‘target’ wave function. Thus, for instance, the entire theoretical structure of Relativity Theory rests upon the assumption that the differential physical measurements of different observers travelling at different speeds relative to any given object (or event) arises from a direct physical interaction between a (constant velocity) speed of light signal and the differentially mobilized observer/s... In contrast, the (novel) Duality Principle proves the conceptual computational inability to determine any such relativistic differential Phenomenon values – based on any direct or indirect physical interaction between any (hypothetical) differential relativistic observer and any given ‘Phenomenon’ (at their ‘di1’ or even ‘di2’ computational levels), but only from the conceptually higher-ordered ‘D2’ computational level through an ‘a-causal’ computation of the “co-occurrences” of any (differential) relativistic observer and (corresponding) Phenomenon! Hence, to the extent that we accept the Duality Principle’s conceptual computational proof for the existence of a singular higher-ordered ‘a-causal D2’ computational framework – as underlying both quantum and relativistic theoretical models, then Relativity’s well-validated empirical findings must be reformulated based on such higher-ordered ‘D2 a-causal computation’ framework...
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Likewise, in the case of Quantum Mechanical theory it is suggested that the current formalization critically depends on the ‘collapse’ of the target ‘wave-function’ – upon its direct physical interaction with the (complimentary) probe element, which is contradicted by the (earlier demonstrated) Duality Principle’s proof for the conceptual computational inability to determine any (complimentary) ‘target’ values based on its direct (or even indirect) physical interactions with another subatomic (complimentary) ‘probe’ element. Instead, the Duality Principle asserts that all quantum (complimentary) ‘probe-target’ values may only be computed ‘a-causally’ based on the conceptually higher-ordered ‘D2’ computation of the “co-occurrences” of any hypothetical ‘probe-target’ complimentary elements... Therefore, it becomes clear that both Quantum and Relativistic theoretical models have to be reformulated based on the Duality Principle’s (proven) singular conceptually higher-ordered ‘a-causal D2’ computational framework. A key possible guiding principle in searching for such an alternative singular conceptually higher-ordered ‘D2 a-causal’ computational framework formulation of both quantum and relativistic (well-validated) empirical findings is Einstein’s dictum regarding the fate of a “good theory” (Einstein, 1916) – which can become a special case in a broader more comprehensive framework. More specifically, based on the Duality Principle’s (abovementioned) negation of the current existing quantum or relativistic theoretical interpretations of these well-validated empirical findings including: the quantum – ‘probabilistic interpretation of the uncertainty principle’ (and its corresponding probabilistic ‘wave function’), ‘particle-wave duality’ ‘quantum entanglement’, and relativistic constancy of the speed of light (and corresponding speed limit on transfer of any object or signal), there seems to arise a growing need for an alternative reformulation of each and every one of these physical phenomena (e.g., separately and conjointly) – which may “fit in” within this singular (conceptually higher-ordered) ‘D2 a-causal’ computational framework; Indeed, what follows is a ‘garland’ of those quantum or relativistic empirical findings – reformulated based upon the Duality Principle – as fitting within a singular ‘a-causal D2’ computational mechanism; In fact, it is this assembly of Duality Principle’s (motivated) theoretical reformulations of the (above) well-validated empirical dictums which will invariably lay down the foundations for the hypothetical ‘Computational Unified Field Theory’. Fortunately (as we shall witness), this piecemeal work of the assembly of all quantum and relativistic Duality Principle’s theoretically refomalized ‘garlands’ may not only lead to the discovery of such singular conceptually higher-ordered ‘D2’ Computational Unified Field Theory’ (CUFT), but may also resolve all known (apparent) theoretical contradictions between quantum and relativistic models (as well as predict yet unknown empirical phenomena, and possibly open new theoretical frontiers in Physics and beyond)...
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3.1. Single- multiple- and exhaustive- spatial-temporal measurements
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Perhaps a direct ramification of the above mentioned critical difference between empirical facts and theoretical interpretation which may have a direct impact on the current (apparent) schism between Relativity Theory and Quantum Mechanics is the distinction between single- vs. multiple- spatial-temporal empirical measurements and its corresponding “particle” vs. “wave” theoretical constructs; It is hypothesized that if we put aside (for the time being) the ‘positivistic’ vs. ‘probabilistic’ characteristics of Relativity theory and Quantum Mechanics then we may be able to characterize both relativistic and quantum empirical data as representing ‘single’- vs. ‘multiple’- spatial-temporal measurements; Thus, for instance, it is suggested that a (subatomic) “particle” or (indeed) any well-localized relativistic object (or event) can be characterized as indicating a ‘single’ (localized) spatial-temporal\n\t\t\t\t\tmeasurement such that the given object or event is measured at a particular (single) spatial point {si} at any given temporal point {ti}. In contrast, the “wave” characteristics of quantum mechanics represent a multi spatial-temporal measurement wherein there are at least two separate spatial-temporal measurements for each temporal point {si ti, s(i+n) t(i+n)}.
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Indeed, I hypothesize that precisely such a distinction between single- and multiple- spatial-temporal measurement (and conceptualization) may stand at the basis of some of the (apparent) quantum ‘conundrums’ such as the ‘particle-wave duality’, the ‘double-slot experiment’, and ‘quantum entanglement’; Specifically, I suggest that if (indeed) the primary difference between the ‘particle’ and ‘wave’ characterization is single- vs. multiple- spatial-temporal measurements, then this can account for instance for the (apparently) “strange” empirical phenomena observed in the ‘double-slot’ experiment. This is because it may be the case wherein the opening of a single slot only allows for the measurement of a single spatial-temporal measurement at the interference detector surface (e.g., due to the fact that a single slot opening only allows for the measurement of the change in a single photon’s impact on the screen). In contrast, opening two slots allows the interference detector surface to measure two spatial-temporal points simultaneously thereby revealing the ‘wave’ (interference) pattern. Moreover, I hypothesize that if indeed the key difference between the ‘particle’ and ‘wave’ characteristics is their respective single- vs. multiple- spatial-temporal measurements, then it may also be the case wherein any “particle” measurement (e.g., or for that matter also any single spatial-temporal relativistic measurements) is embedded within the broader multi- spatial-temporal ‘wave’ measurement... In this case, the current probabilistic interpretation of quantum mechanics (which has been challenged earlier by the Duality Principle) may give way to a hierarchical-dualistic computational interpretation which regards any ‘particle’ measurement as merely a localized (e.g., single spatial-temporal) segment of a broader multi spatial-temporal ‘wave’ measurement.
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One further potentially significant computational step – e.g., beyond the ‘single\' spatial-temporal “particle” (or object) as potentially embedded within the ‘multiple spatial-temporal “wave” measurement – may be to ask: is it possible for both the single spatial-temporal “particle” and the multi- spatial-temporal “wave” measurements to be embedded within a conceptually higher-ordered ‘D2’ computational framework?
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This hypothetical question may be important as it may point the way towards a formal physical representation of the Duality Principle\'s asserted singular conceptually higher-ordered \'D2 a-causal computational framework\': This is because the Duality Principle’s assertion regarding the existence of a singular higher-ordered D2 ‘a-causal’ computation can consist of all single- multiple- or even the entire range of spatial pixels’{si....sn} that exist at any point/s in time {ti...ti} which are computed as “co-occurring” pairs of \'relativistic observer – Phenomenon’ or pairs of subatomic ‘probe – target’ elements (e.g., as computed at this singular conceptually higher-ordered ‘D2’ computational level); This implies that since there cannot be any “real” ‘material-causal’ interactions between any of these relativistic ‘observer-Phenomenon’ or quantum ‘probe-target’ pairs, then all such hypothetical ‘spatial pixels’{si....sn} occurring at any hypothetical temporal point/s {ti...ti} must necessarily form an exhaustive ‘pool’ of the entire corpus of spatial-temporal points, which according to the Duality Principle must only exist as the above mentioned quantum (subatomic) ‘probe-target’ or relativistic (differential) ‘observer-Phenomenon’ computational pairs at the singular conceptually higher-ordered \'D2 A-Causal Computational Framework\'.
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3.2. The ‘Universal Simultaneous Computational Frames’ (USCF’s)
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Indeed, an additional empirical support for the existence of such (hypothetical) singular conceptually higher-ordered \'D2\' exhaustive pool of all "co-occurring" quantum or relativistic pairs may be given by the well validated empirical phenomenon of ‘quantum entanglement’; In a nutshell, ‘quantum entanglement’ refers to the finding whereby a subatomic measurement of one of two formerly connected “particles” – which may be separated (e.g. at the time of measurement) by a distance greater than a lights signal can travel can ‘instantaneously\' affect the measure outcome of the other (once interrelated) ‘entangled’ particle...
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The reason that ‘quantum entanglement’ may further constrain the operation of higher-ordered hypothetical ‘D2 A-Causal’ computational framework is that it points at the existence of an empirical dictum which asserts that even in those computational instances in which two spatial-temporal events seem to be physically “separated” (e.g., by a distance greater than possibly travelled by Relativity’s speed of light limit) the higher-ordered ‘D2 A-Causal Computation’ occurs ‘instantaneously’! Therefore, this ‘quantum entanglement’ empirical dictum indicates that the ‘D2 a-causal\' computation of all spatial pixels in the universe – be carried out “at the same time”, i.e., “simultaneously” at the D2 computational mechanism; In other words, the above mentioned ‘D2 a-causal computation’ mechanism must consist of the entirety of all possible quantum ‘probe-target’ or relativistic ‘observer-Phenomenon’ pairs occupying an exhaustive three-dimensional ‘picture’ of the entire corpus of all spatial pixels in the universe – for any given (minimal) ‘time-point’;
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Therefore, if (indeed) due to the empirical-computational constraint imposed by ‘quantum entanglement’ we reach the conclusion wherein all spatial-pixels in the (subatomic as well relativistic) universe must necessarily exist “simultaneously” (e.g., for any minimal ‘temporal point\') at the ‘D2 a-causal computation\' level’’; And based on the Duality Principle’s earlier proven conceptual computational irreducibility of the determination of any quantum or relativistic relationship to within any direct or indirect physical interaction between any hypothetical subatomic ‘probe’ and ‘target’ elements or between any relativistic differential ‘observer’ and any ‘Phenomenon’ – but only from this singular higher-ordered ‘D2 A-Causal Computational Framework’;
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It is hereby hypothesized that the ‘D2 A-Causal Computational’ processing consists of a series of ‘Universal Simultaneous Computational Frames’ (USCF’s) which comprise the entirety of the (quantum and relativistic) ‘spatial-pixels’ in the physical universe (i.e., at any given “minimal time-point”)... Moreover, it is hypothesized that in order for this singular conceptually higher-ordered ‘A-Causal Computational Framework’ to produce all known quantum and relativistic physical phenomena there must necessarily exist a series of (extremely rapid) such ‘Universal Simultaneous Computational Frames’ (USCF’s) that give rise to three distinct ‘Computational Dimensions’ – which include: ‘Computational Framework’, ‘Computational Consistency’ and ‘Computational Locus’;
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3.3. Computational- framework, consistency and locus
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Based on the Duality Principle’s asserted singular conceptually higher-ordered ‘D2’ computational framework comprising of an ‘A-Causal-Computation’ of a rapid series of ‘Universal Simultaneous Computational Frames’ (USCF’s) it is hypothesized that three interrelated computational dimensions arise as different computational measures relating to – the ‘Framework’ of computation (e.g., relating to the entire USCF/s ‘frame/s’ or to a particular ‘object’ within the USCF/s), the degree of ‘Consistency’ across a series of USCF’s (e.g., ‘consistent’ vs. ‘inconsistent’), and the ‘Locus’ of computational measure/s (e.g., whether the computation is carried out ‘locally’- from within any particular ‘reference system’, or ‘globally’- that is, externally to a particular reference system). It is further suggested that the combination of these three independent computational factors gives rise – not only to all relativistic and quantum basic physical features of ‘space’, ‘time’, ‘energy’, ‘mass’ etc. but may in fact exhaustively replicate, coalesce and harmonize all apparently existing theoretical contradictions between quantum and relativistic theories of physical reality...
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First, the (four) basic physical features of physical reality are defined as the product of the interaction between the two Computational Dimensions of ‘Framework’ (‘frame’ vs. ‘object’) and ‘Consistency’ (‘consistent’ vs. ‘inconsistent’): thus, for instance, it is hypothesized that a computational index of the degree of ‘frame-consistent’ presentations across a series of USCF’s gives us a measure of the “spatial” value of any given object; In contrast, the computation of the degree of ‘frame-inconsistent’ measure/s of any given object – gives rise to the ‘”energy” value (of any measured object or event). Conversely, the computational measure of the degree of ‘object-consistent’ presentations (e.g., across a series of USCF’s) produces the object’s “mass” value. In contrast, the measure of an object’s (or event’s) ‘object-inconsistent’ presentations computes that object’s/event’s temporal value... A (partial) rational for these hypothetical computational measures may be derived from glancing at their computational “equivalences” – within the context of an analysis of the apparent physical features arising from the dynamics of a cinematic (two dimensional) film;
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A quick review of the analogous cinematic measure of (any given object’s) “spatial” or “energetic” value/s indicates that whereas a (stationary) object’s ‘spatial’ measure or a measure of the ‘spatial’ distance a moving object traverses (e.g., across a certain number of cinematic film frames) depends on the number of pixels that object occupies “consistently”, or the number of pixels that object travelled which remained constant (e.g., consistent) – across a given number of cinematic frames. Thus, the cinematic computation of ‘spatial’ distance/s is given through an analysis of the number of pixels (e.g., relative to the entire frame’s reference system) that were either traversed by an object or which that object occupies (e.g., its “spatial” dimensions); In either case, the ‘spatial value’ (e.g., of the object’s consistent dimensions or of its travelled distance) is computed based on the number of consistent pixels that object has travelled through or has occupied (across a series of cinematic frames); In contrast, an object’s “energetic” value is computed through a measure of the number of pixels that object has ‘displaced’ across a series of frames – such that its “energy” value is measured (or computed) based on the number of pixels that object has displaced (e.g., across a certain number of series of cinematic frames). Thus, an object’s ‘energy’ value can be computed as the number of ‘inconsistent’ pixels that object has displaced (across a series of frames)... Note that in both the cases of the ‘spatial’ value of an object or of its ‘energetic’ value, the computation can only be carried out with reference to the (entire- or certain segments of-) ‘frame/s’, since we have to ascertain the number of ‘consistent’ or ‘inconsistent’ pixels (e.g., relative to the reference system of the entire- or segments of- frame/s);
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In contrast, it is suggested that the analogous cinematic measures of “mass” and “time” – involve a computation of the number of “object-related” (i.e., in contrast to the abovementioned “frame-related”) “consistent” vs. “inconsistent” presentations; Thus, for instance, a special cinematic condition can be created in which any given object can be presented at- or below- or above- a certain ‘psychophysical threshold’ – i.e., such that the “appearance” or “disappearance” of any given object critically depends on the number of times that object is presented ‘consistently’ (across a certain series of cinematic frames); Such psychophysical-object cinematic condition necessarily produces a situation in which the number of consistent-object presentations (across a series of frames) determines whether or not that object will be perceived to “exist” or “not exist”; Indeed, a further extension of the same precise psychophysical cinematic scenario can produce a condition in which there is a direct correlation between the number of times an object is presented ‘consistently’ (across a given series of cinematic frames) and its perceived “mass”: Thus, whereas the given object – would seem to “not exist” below a certain number of presentation (out of a given number of frames), and would begin to “exist” once its number of presentations exceeds the particular psychophysical threshold, then it follows that a further increase in the number of presentations (e.g., out of a given number of frames) will increase that object’s perceived “mass”... Perhaps somewhat less ‘intuitive’ is the cinematic computational equivalence of “time” – which is computed as the number of ‘object-related’ “inconsistent” presentations; It’s a well-known fact that when viewing a cinematic film, if the rate of projection is slowed down (“slow-motion”) the sense of time is significantly ‘slowed-down’... This is due to the fact that there is much less changes taking place relative to the object/s of interest that we are focusing on... Indeed, it is a scientifically validated fact that our perception of time depends (among other factors) on the number of stimuli being presented to us (within a given time-interval, called the ‘filled-duration’ illusion). Therefore, it is suggested that the cinematic computation (equivalence) of “time” is derived from the number of ‘object-related inconsistent’ presentations (across a given number of cinematic frames); the greater the number of object-related inconsistent presentations the more time has elapsed – i.e., as becomes apparent in the case of ‘slow-motion’ (e.g., in which the number of object-related inconsistent presentations are small and in which very little ‘time’ seems to elapse) as opposed to ‘fast-motion’ (e.g., in which the number of object-related inconsistent presentations is larger and subsequently a significant ‘time’ period seems to pass)...
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Obviously, there are significant differences between the two dimensional cinematic metaphor and the hypothetical Computational Unified Field Theory’s postulated rapid series of three-dimensional ‘Universal Simultaneous Computational Frames’ (USCF’s); Thus, for instance, apart from the existence of two-dimensional vs. three dimensional frames, various factors such as: the (differing) rate of projection, the universal simultaneous computation (e.g., across the entire scope of the physical universe) and other factors (which will be delineated below). Nevertheless, utilizing at least certain (relevant) aspects of the cinematic film metaphor may still assist us in better understanding some the potential dynamics of the USCF’s rapid series; Hence, it is suggested that we can perhaps learn from the (above mentioned) ‘object’ vs. ‘frame’ and ‘consistent’ vs. ‘inconsistent’ computational features characterizing the cinematic equivalents of “space” (‘frame-consistent’), “energy” (‘frame-inconsistent’), “mass” (‘object-consistent’) and “time” (‘object-inconsistent’) – with reference to the CUFT’s hypothesized two (abovementioned) Computational Dimensions of ‘Computational Framework’ (e.g., ‘frame’ vs. ‘object’) and ‘Computational Consistency’ (e.g., ‘consistent’ vs. ‘inconsistent’). The third (and final) hypothesized computational dimension of ‘Computational Locus’ does not correlate with the cinematic metaphor but can be understood when taking certain aspects of the cinematic metaphor and combining them with certain known features of Relativity theory; As outlined (earlier), this third ‘Computational Locus’ dimension refers to the particular frame of reference from which any of the two other Computational Dimensions (e.g., ‘Framework’ or ‘Consistency’) are being measured: Thus, for instance, it is suggested that the measurement of any of the abovementioned (four) basic physical features of ‘space’ (‘frame-consistent’), ‘energy’ (frame-inconsistent’), ‘mass’ (‘object-consistent’) and ‘time’ (‘object-inconsistent’) – can be computed from within the ‘local’ frame of reference of the particular object (or observer) being measured, or from an external ‘global’ frame of reference (e.g., which is different than that of the particular object or observer).
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4. The ‘Computational Unified Field Theory’ (CUFT)
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Based on the abovementioned three basic postulates of the ‘Duality Principle’ (e.g., including the existence of a conceptually higher-ordered ‘D2 A-Causal’ Computational framework), the existence of a rapid series of ‘Universal Simultaneous Computational Frames’ (USCF’s) and their accompanying three Computational Dimensions of – ‘Framework’ (‘frame’ vs. ‘object’), ‘Consistency’ (‘consistent’ vs. ‘inconsistent’) and ‘Locus’ (‘global’ vs. ‘local’) a (novel) ‘Computational Unified Field Theory’ (CUFT) is hypothesized (and delineated);
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First, in order to fully outline the theoretical framework of this (new) hypothetical CUFT let us try to closely follow the (abovementioned) ‘cinematic-film’ metaphor (e.g., while keeping in mind the earlier mentioned limitations of such an analogy in the more complicated three dimensional universal case of the CUFT): It is hypothesized that in the same manner that a cinematic film consists of a series of (rapid) ‘still-frames’ which produce an ‘illusion’ of objects (and phenomena) being displaced in ‘space’, ‘time’, possessing an apparent ‘mass’ and ‘energy’ values – the CUFT’s hypothesized rapid series of ‘Universal Simultaneous Computational Frames’ (USCF’s) gives rise to the apparent ‘physical’ features of ‘space’, ‘time’, ‘energy’ and ‘mass’... It is further hypothesized that (following the cinematic-film analogy) the minimal (possible) degree of ‘change’ across any two (subsequent) ‘Universal Simultaneous Computational Frames’ (USCF’s) is given by Planck’s ‘h’ constant (e.g., for the various physical features of ‘space’, ‘time’, ‘energy’ or ‘mass’)... Likewise the maximal degree of (possible) change across two such (subsequent) USCF’s may be given by: ‘c\n\t\t\t\t\n\t\t\t\t\t2\n\t\t\t\t\n\t\t\t\t’; Note that both of these (quantum and relativistic) computational constraints – arising from the ‘mechanics’ of the rapid (hypothetical) series of USCF’s – exist as basic computational characteristics of the conceptually higher-ordered ‘D2’ (a-causal) computational framework, rather than exist as part of the ‘di1’ physical interaction (apparently) taking place within any (single or multiple) USCF’s... Indeed, it is further hypothesized that a measure of the actual rate of presentation (or computation) of the series of USCF’s may be given precisely through the product of these (‘D2’) computational constraints of the maximal degree of (inter-frame) change/s (‘c2’) divided by the minimal degree of (inter-frame) change/s (‘h’): ‘c2’/ ‘h’!\n\t\t\t
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Specifically, the CUFT hypothesizes that the computational measures of ‘space’, ‘energy’, ‘mass’ and ‘time’ (and “causation”) are derived based on an ‘object’ vs. ‘frame’ and ‘consistent’ vs. ‘inconsistent’ computational combinations;
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Thus, it is hypothesized that the ‘space’ measure of an object (e.g., whether it is the spatial dimensions of an object or event of whether it relates to the spatial location of an object) is computed based on the number of ‘frame-consistent’ (i.e., cross-USCF’s constant points or “universal-pixels”) which that object possesses across subsequent USCF’s, divided by Planck’s constant ‘h’ which is multiplied by the number of USCF\'s across which the object\'s spatial values have been measured.
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t f\n\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE21
where the ‘space’ measure of a given object (or event) is computed based on a frame consistent computation that adds the specific USCF’s (x,y,z) localization across a series of USCF’s [1...n] – which nevertheless do not exceed the threshold of Planck’s constant per each (‘n’) number of frames (e.g., thereby providing the CUFT’s definition of “space” as ‘frame-consistent’ USCF’s measure).
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Conversely, the ‘energy’ of an object (e.g., whether it is the spatial dimensions of an object or event or whether it relates to the spatial location of an object) is computed based on the frame’s differences of a given object’s location/s or size/s across a series of USCF’s, divided by the speed of light \'c\' multiplied by the number of USCF\'s across which the object\'s energy value has been measured:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tE\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t–\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tc x n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE23
wherein the energetic value of a given object, event etc. is computed based on the subtraction of that object’s “universal pixels” location/s across a series of USCF’s, divided by the speed of light multiplied by the number of USCF\'s.
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In contrast, the of ‘mass’ of an object is computed based on a measure of the number of times an ‘object’ is presented ‘consistently’ across a series of USCF’s, divided by Planck’s constant (e.g., representing the minimal degree of inter-frame’s changes):
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\tC\n\t\t\t\t\t\t\t\tF\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\tC\n\t\t\t\t\t\t\t\tF\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE25
\n\t\t\t
where the measure of ‘mass’ is computed based on a comparison of the number of instances in which an object’s (or event’s) ‘universal-pixels’ measures (e.g., along the three axes ‘x’, y’ and ‘z’) is identical across a series of USCF’s (e.g., ∑oi{x,y,z} [USCF(n)] = oj{(x+m),(y+m),(z+m)} [USCF(1...n)]), divided by Planck’s constant.
\n\t\t\t
Again, the measure of ‘mass’ represents an object-consistent computational measure – e.g., regardless of any changes in that object’s spatial (frame) position across these frames.
\n\t\t\t
Finally, the ‘time’ measure is computed based on an ‘object-inconsistent’ computation of the number of instances in which an ‘object’ (i.e., corresponding to only a particular segment of the entire USCF) changes across two subsequent USCF’s (e.g., ∑ oi{x,y,z} [USCF(n)] ≠ oj{(x+m),(y+m),(z+m)} [USCF(1...n)]), divided by ‘c’:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tT \n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tc x n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE26
\n\t\t\t
such that:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t≤\n\t\t\t\t\t\t\t\t c x n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE27
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Hence, the measure of ‘time’ represents a computational measure of the number of ‘object-inconsistent’ presentations any given object (or event) possesses across subsequent USCF’ (e.g., once again- regardless of any changes in that object’s ‘frame’s’ spatial position across this series of USCF’s).
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Interestingly, the concept of “causality” – when viewed from the perspective of the (above mentioned) ‘D2 A-Causal Computation’ (rapid) series of USCF’s replaces the (apparent) ‘di1’ “material-causal” physical relationship/s between any given ‘x’ and ‘y’ objects, factors, or phenomenon – through the existence of apparent (quantum or relativistic) spatial-temporal or energy-mass relationships across a series of USCF’s; Thus, for instance, according to the CUFT’s higher-ordered ‘D2 A-Causal Computation’ theoretical interpretation (e.g., as well as based on the earlier outlined ‘Duality Principle’ proof) in both the relativistic (assumed SROCS) direct physical interaction (‘di1’) between any hypothetical (differential) relativistic observer and any (corresponding) spatial-temporal or energy-mass ‘Phenomenon’, and in the quantum (assumed SROCS) direct physical interaction (‘di1’) between any subatomic ‘probe’ particle and any possible ‘target’ element –there does not exist any ‘direct’ (‘di1’) material-causal relationship/s between the relativistic observer and (measured) Phenomenon, or between the quantum subatomic ‘probe’ and ‘target’ entities which results in the determination of the particular spatial-temporal value of any given Phenomenon (e.g., for a particular differential observer) or the ‘collapse’ of the (assumed) probability wave function which results in the selection of only one (complimentary) spatial-energetic or temporal-mass target value... Instead, according to the CUFT’s stipulated conceptually higher-ordered singular (quantum and relativistic) D2 A-Causal Computational Framework these apparently ‘material-causal’ subatomic probe-target or relativistic differential observer-Phenomenon pair/s are in fact replaced by A hypothetical \'Universal Computational Principle\' ("י") D2 A-Causal Computation of the ‘co-occurrence’ of a particular set of such relativistic ‘observer-Phenomenon’ or quantum subatomic ‘probe-target’ pairs (e.g., appearing across a series of USCF’s!) Indeed, a thorough understanding of the CUFT’s replacement of any (hypothetical quantum or relativistic) ‘material-causal’ relationship/s with the conceptually higher-ordered (singular) ‘D2 A-Causal Computation (‘י’), which simply co-presents a series of particular relativistic ‘observer-Phenomenon’ or subatomic ‘probe-target’ pairs across the series of given USCF’s may also open the door for a fuller appreciation of the lack of any (continuous) “physical” or “material” relativistic or quantum object’s, event/s or phenomena etc. “in-between” USCF’s frames – except for the (above mentioned) ‘Universal Computational Principle’ (‘י’ - at ‘D2’). In other words, when viewed from the perspective of the CUFT’s conceptually higher-ordered (singular) ‘י’ computational stance of the series of (rapid) USCF’s all of the known quantum and relativistic phenomena (and laws) of ‘space’, ‘time’, energy’, ‘mass’ and ‘causality’, ‘space-time’, ‘energy-mass’ equivalence, ‘quantum entanglement’, ‘particle-wave duality’, “collapse” of the ‘probability wave function’ etc. phenomena – are replaced by an ‘a-causal’ (D2) computational account (which will be explicated below);
\n\t\t\t
\n\t\t\t\t
4.1. The CUFT’s replication of quantum & relativistic findings
\n\t\t\t\t
As sown above, the Computational Unified Field Theory postulates that the various combinations of the ‘Framework’ and ‘Consistency’ computational dimensions produce the known ‘physical’ features of: ‘space’ (‘frame-consistent’), ‘energy’ (‘frame-inconsistent’), ‘mass’ (‘object-consistent’) and ‘time’ (‘object-inconsistent’). The next step is to explicate the various possible relationships that exists between each of these four basic ‘physical’ features and the two levels of the third Computational Dimension of ‘Locus’ – e.g., ‘global’ vs. ‘local’: It is suggested that each of these four basic physical features can be measured either from the computational framework of the entire USCF’s perspective (e.g., a ‘global’ framework) or from the computational perspective of a particular segment of those USCF’s (e.g., ‘local’ framework). Thus, for instance, the spatial features of any given object can be measured from the computational perspective of the (series of the) entire USCF’s, or it can be measured from the computational perspective of only a segment of those USCF’s – i.e., such as from the perspective of that object itself (or from the perspective of another object travelling alongside- or in some other specific relationship- to that object). In much the same manner all other (three) physical features of ‘energy’, ‘mass’ and ‘time’ (e.g., of any given object) can be measured from the ‘global’ computational perspective of the entire (series of) USCF’s or from a ‘local’ computational perspective of only a particular USCF’s segment (e.g., of that object’s perspective or of another travelling frame of reference perspective).
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One possible way of formalizing these two different ‘global’ vs. ‘local’ computational perspectives (e.g., for each of the four abovementioned basic physical features) is through attaching a ‘global’ {‘g’} vs. ‘local’ {‘l’} subscript to each of the two possible (e.g., ‘global’ vs. ‘local’) measurements of the four physical features. Thus, for instance, in the case of ‘mass’ the ‘global’ (computational) perspective measures the number of times that a given object has been presented consistently (i.e., unchanged)– when measured across the (entire) USCF’s pixels (e.g., across a series of USCF’s) ; In contrast, the ‘local’ computational perspective of ‘mass’ measures the number of times that a given object has been presented consistently (e.g., unchanged) when measured from within that object’s frame of reference;
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\tC\n\t\t\t\t\t\t\t\t\tF\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE28
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\tl\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\tl\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\tl\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\tU\n\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\tC\n\t\t\t\t\t\t\t\t\tF\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE30
What is to be noted is that these (hypothesized) different measurements of the ‘global’ vs. local’ computational perspectives – i.e., as measured externally to a particular object\'s pixels (‘global’) as opposed to only the pixels constituting the particular segment of the USCFs which comprises the given object (or frame of reference) may in fact replicate Relativity’s known phenomenon of the increase in an object’s mass associated with a (relativistic) increase in its velocity (e.g., as well as all other relativistic phenomena of the dilation in time, shrinkage of length etc.); This is due to the fact that the ‘global’ measurement of an object’s mass critically depends on the number of times that object has been presented (consistently) across a series of USCF’s: e.g., the greater the number of (consistent) presentations the higher its mass. However, since the computational measure of ‘mass’ is computed relative to Planck’s (‘h’) constant (e.g., computed as a given object’s number of consistent presentations across a specific number of USCF’s frames); and since the spatial measure of any such object is contingent upon that object\'s consistent presentations (across the series of USCF’s) such that the object does not differ (‘spatially’) across frames by more than the number of USCF’s multiplied by Planck’s constant; then it follows that the higher an object’s energy – i.e., displacement of pixels across a series of USCF’s, the greater number of pixels that object has travelled and also the greater number of times that object has been presented across the series of USCF’s – which constitutes that object’s ‘global’ mass measure! In other words, when an object’s mass is measured from the ‘global’ perspective we obtain a measure of that object’s (number of external) global pixels (reference) which increases as its relativistic velocity increases, thereby also increasing the number of times that object is presented (e.g., from the global perspective) hence increasing its globally measured ‘mass’ value. In contrast, when that object’s mass is measured from the ‘local’ computational perspective – such ‘local mass’ measurement only takes into account the number of times that object has been presented (across a given series of USCF’s) as measured from within that object’s frame of reference; Therefore, even when an object increases its velocity – if we set to measure its mass from within its own frame of reference we will not be able to measure any increase in its measured ‘mass’ (e.g., since when measured from within its local frame of reference there is no change in the number of times that object has been presented across the series of USCF’s)...
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Likewise, it is hypothesized that if we apply the ‘global’ vs. ‘local’ computational measures to the physical features of ‘space’, ‘energy’ and ‘time’ we will also replicate the well-known relativistic findings of the shortening of an object’s length (in the direction of its travelling), and the dilation of time (as measured by a ‘global’ observer): Thus, for instance, it is suggested that an application of the same ‘global’ computational perspective to the physical feature of ‘space’ brings about an inevitable shortening of its spatial length (e.g., in the direction of its travelling):
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\t f\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE32
It is hypothesized that this is due to the global computational definition of an object’s spatial dimensions which computes a given object’s spatial (length) based on its consistent ‘spatial’ pixels (across a series of USCF’s) – such that any changes in that object’s spatial dimensions must not exceed Planck’s (‘h’) spatial constant multiplied by the number of USCF\'s; This is because given such Planck’s minimal ‘spatial threshold’ computational constraint – the faster a given relativistic object travels (e.g., from a global computational perspective) the less ‘consistent’ spatial ‘pixels’ that object possesses across frames which implies the shorter its spatial dimensions become (i.e., in the direction of its travelling); in contrast, measured from a ‘local’ computational perspective there is obviously no such “shrinkage” in an object’s spatial dimensions – since based on such a ‘local’ perspective all of the spatial ‘pixels’ comprising a given object remain unchanged across the series of USCF’s.
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\t\tl\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\t\tl\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t…\n\t\t\t\t\t\t\t\t\t f\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\'\n\t\t\t\t\t\t\t\t\t\t\tl\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE34
Somewhat similar is the case of the ‘global’ computation of the physical feature of ‘time’ which is computed based on the number of measured changes in the object’s spatial ‘pixels’ constitution (across frames):
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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\tg\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\tc x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE36
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such that:
\n\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t≤\n\t\t\t\t\t\t\t\t\t c x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE37
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The temporal value of an event (or object) is computed based on the number of times that a given object or event has changed – relative to the speed of light (e.g., across a certain number of USCF\'s); However, the measurement of temporal changes (e.g., taking place at an object or event) differ significantly – when computed from the \'global\' or \'local\' perspectives: This is because from a \'global\' perspective, the faster an object travels (e.g., relative to the speed of light) the less potential changes are exhibited in that object\'s or event\'s presentations (across the relevant series of USCF\'s). In contrast, from a \'local\' perspective, there is no change in the number of measured changes in the given object (e.g., as its velocity increases relative to the speed of light) – since the local (computational) perspective does not encompass globally measured changes in the object\'s displacement (relative to the speed of light)…
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Note also that we can begin appreciating the fact that from the CUFT’s (D2 USCF’s) computational perspective there seems to be inexorable (computational) interrelationships that exist between the eight computational products of the three postulated Computational Dimensions of ‘Framework’, ‘Consistency’ and ‘Locus’; Thus, for instance, we find that an acceleration in an object’s velocity increases the number of times that object is presented (e.g., \'globally\' across a given number of USCF frames) – which in turn also increases it ‘mass’ (e.g., from the ‘global Locus’ computational perspective), and (inevitably) also decreases its (global) ‘temporal’ value (due to the decreased number of instances that that object changes across those given number of frames (e.g., globally- relative to the speed of light maximal change computational constraint)... Indeed, over and beyond the hypothesized capacity of the CUFT to replicate and account for all known relativistic and quantum empirical findings, its conceptually higher-ordered ‘D2’ USCF’s emerging computational framework may point at the unification of all apparently “distinct” physical features of ‘space’, ‘time’, ‘energy’ and ‘mass’ (and ‘causality’) as well as a complete harmonization between the (apparently disparate) quantum (microscopic) and relativistic (macroscopic) phenomena and laws; the apparent disparity between quantum (microscopic) and relativistic (macroscopic) phenomena and laws;
\n\t\t\t\t
Towards that end, we next consider the applicability of the CUFT to known quantum empirical findings: Specifically, we consider the CUFT’s account of the quantum (computational) complimentary properties of ‘space’ and ‘energy’ or ‘time’ and ‘mass’; of an alternative CUFT’s account of the “collapse” of the probability wave function; and of the ‘quantum entanglement’ and ‘particle-wave duality’ subatomic phenomena; It is also hypothesized that these alternative CUFT’s theoretical accounts may also pave the way for the (long-sought for) unification of quantum and relativistic models of physical reality. First, it is suggested that the quantum complimentary ‘physical’ features of ‘space’ and ‘energy’, ‘time’ and ‘mass’ – may be due to a ‘computational exhaustiveness’ (or ‘complimentarity’) of each of the (two) levels of the Computational Dimension of ‘Framework’. It is hypothesized that both the ‘frame’ and ‘object’ (‘D2-USCF’s’) computational perspectives are exhaustively comprised of their ‘consistent’ (e.g., ‘space’ and ‘energy’, or ‘mass’ and ‘time’ physical features, respectively): Thus, whether we chose to examine the USCF’s (D2) computation of a ‘frame’ – which is exhaustively comprised of its ‘space’ (‘consistent’) and ‘energy’ (‘inconsistent’) computational perspectives or if we chose to examine the ‘object’ perspective of the USCF’s (D2) series – which is exhaustively comprised of its ‘mass’ (‘consistent’) and ‘time’ (inconsistent) computational aspects: in both cases the (D2) USCF’s series is exhaustively comprised of these ‘consistent’ and ‘inconsistent’ computational aspects (e.g., of the ‘frame’ or ‘object’ perspectives)...
\n\t\t\t\t
This means that the computational definitions of each of these pairs of ‘frame’: ‘space’ (consistent) and ‘energy’ (inconsistent) or ‘object’: ‘mass’ (consistent) or ‘time’ (inconsistent) is ‘exhaustive’ in its comprising of the USCF’s Framework (i.e., ‘frame’ or ‘object’) Dimension:
\n\t\t\t\t
Indeed, note that the computational definitions of ‘space’ and ‘energy’ exhaustively define the USCF’s (D2) Framework computational perspective of a ‘frame’:
\n\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\tS\n\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t f\n\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE38
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tE\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t–\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\tc x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE41
Likewise, note that the computational definitions of ‘mass’ and ‘time’ exhaustively define the USCF’s (D2) Framework computational perspective of an ‘object’:
\n\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tM\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t=\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t USCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t h x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE43
\n\t\t\t\t
such that
\n\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t≤\n\t\t\t\t\t\t\t\t\t n x h\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t1\n\t\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE44
and
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\tc x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE45
\n\t\t\t\t
such that:
\n\t\t\t\t
\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t∑\n\t\t\t\t\t\t\t\t\to\n\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t o\n\t\t\t\t\t\t\t\t\tj\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\tz\n\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t1...\n\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t≤\n\t\t\t\t\t\t\t\t\t c x n\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tUSCF\n\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\tE46
\n\t\t\t\t
Thus, it is hypothesized that it is the computational exhaustiveness of the Framework Computational Dimension‘s (two) levels (e.g., of ‘frame’ or ‘object’ perspectives) which gives rise to the known quantum complimentary ‘physical’ features of ‘space’ and ‘energy’ (e.g., the frame’s ‘consistent’ and ‘inconsistent’ perspectives) or of ‘mass’ and ‘time’ (e.g., the object’s ‘consistent’ and ‘inconsistent’ perspectives). However, since this hypothetical ‘computational exhaustiveness’ of the Framework Dimension’s (two) levels arises as an integral part of the USCF’s (D2) Universal Computational Principle’s operation – it manifests through both the (above mentioned) computational definitions of ‘space’ and ‘energy, ‘mass’ and ‘time’, as well as through a singular ‘Universal Computational Formula’, postulated below:
\n\t\t\t
\n\t\t\t
\n\t\t\t\t
4.2. The ‘Universal Computational Formula’
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Based on the abovementioned three basic postulates of the ‘Duality Principle’ (e.g., including the existence of a conceptually higher-ordered ‘D2 A-Causal’ Computational framework), the existence of a rapid series of ‘Universal Simultaneous Computational Frames’ (USCF’s – e.g., which are postulated to be computed at an incredible rate of ‘c\n\t\t\t\t\t\n\t\t\t\t\t\t2\n\t\t\t\t\t\n\t\t\t\t\t’/ ‘h’) and their accompanying three Computational Dimensions of – ‘Framework’ (‘frame’ vs. ‘object’), ‘Consistency’ (‘consistent’ vs. ‘inconsistent’) and ‘Locus’ (‘global’ vs. ‘local’) a singular ‘Universal Computational Formula’ is postulated which may underlie all (known) quantum and relativistic phenomena:
wherein the left side of this singular hypothetical Universal Computational Formula represents the (abovementioned) universal rate of computation by the hypothetical Universal Computational Principle, whereas the right side of this Universal Computational Formula represents the ‘integrative-complimentary’ relationships between the four basic physical features of ‘space’ (s), ‘time’ (t), ‘energy’ (e) and ‘mass’ (m), e.g., as comprising different computational combinations of the three (abovementioned) Computational Dimensions of ‘Framework’, ‘Consistency’ and ‘Locus’;
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Note that on both sides of this Universal Computational Formula there is a coalescing of the basic quantum and relativistic computational elements – such that the rate of Universal Computation is given by the product of the maximal degree of (inter-USCF’s relativistic) change ‘c2’ divided by the minimal degree of (inter-USCF’s quantum) change ‘h’; Likewise, the right side of this Universal Computational Formula meshes together both quantum and relativistic computational relationships – such that it combines between the relativistic products of space and time (s/t) and energy-mass (e/m) together with the quantum (computational) complimentary relationship between ‘space’ and ‘energy’, and ‘time’ and ‘mass’;
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More specifically, this hypothetical Universal Computational Formula fully integrates between two sets of (quantum and relativistic) computations which can be expressed through two of its derivations:
The first amongst these equations indicates that there is a computational equivalence between the (relativistic) relationships of ‘space and time’ and ‘energy and mass’; specifically, that the computational ratio of ‘space’ (e.g., which according to the CUFT is a measure of the ‘frame-consistent’ feature) and ‘time’ (e.g., which is a measure of the ‘object-inconsistent’ feature) is equivalent to the computational ratio of ‘mass’ (e.g., a measure of the ‘object-consistent’ feature) and ‘energy’ (e.g., ‘frame-inconsistent’ feature)... Interestingly, this (first) derivation of the CUFT’s Universal Computational Formula incorporates (and broadens) key (known) relativistic laws – such as (for instance) the ‘E=Mc2’ equation, as well as the basic concepts of ‘space-time’ and its curvature by the ‘mass’ of an object (which in turn also affects that object’s movement – i.e. ‘energy’).
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The second equation explicates the (above mentioned) quantum ‘computational exhaustiveness’ (or ‘complimentary’) of the Computational Framework Dimension’s two levels of ‘frame’: ‘space’ (‘consistent’) and ‘energy’ (‘inconsistent’) and of ‘object’: ‘mass’ (‘consistent’) and ‘time’ (‘inconsistent’) ‘physical’ features, as part of the singular integrated (quantum and relativistic) Universal Computational Formula...
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5. Unification of quantum and relativistic models of physical reality
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Thus, the three (abovementioned) postulates of the ‘Duality Principle’, the existence of a rapid series of ‘Universal Simultaneous Computational Frames’ (USCF’s – computed by the ‘Universal Computational Principle’ {‘י’} at the incredible hypothetical rate of ‘c2/h’), and the three Computational Dimensions of ‘Framework’, ‘Consistency’ and ‘Locus’ have resulted in the formulation of the (hypothetical) new ‘Universal Computational Formula’:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tc\n\t\t\t\t\t\t\t\t\t\t\t2\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t\t\t′\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\th\n\t\t\t\t\t\t\n\t\t\t\t\t\t=\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\ts x e\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tt m\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE50
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It is (finally) suggested that this (novel) CUFT and (embedded) Universal Computational Formula can offer a satisfactory harmonization of the existing quantum and relativistic models of physical reality, e.g., precisely through their integration within the (above) broader higher-ordered singular ‘D2’ Universal Computational Formula;
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In a nutshell, it is suggested that this Universal Computational Formula embodies the singular higher-ordered ‘D2’ series of (rapid) USCF’s, thereby integrating quantum and relativistic effects (laws and phenomena) and resolving any apparent ‘discrepancies’ or ‘incongruities’ between these two apparently distinct theoretical models of physical reality:
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Therefore, it is suggested that the three (above mentioned apparent) principle differences between quantum and relativistic theories, namely: ‘probabilistic’ vs. ‘positivistic’ models of physical reality, ‘simultaneous-entanglement’ vs. ‘non-simultaneous causality’ and ‘single-’ vs. ‘multiple-’ spatial-temporal modeling can be explained (in a satisfactory manner) based on the new (hypothetical) CUFT model (represented by the Universal Computational Formula);
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As suggested earlier, the apparent ‘probabilistic’ characteristics of quantum mechanics, e.g., wherein an (apparent) multi spatial-temporal “probability wave function” ‘collapses’ upon its assumed ‘SROCS’ direct (‘di1’) physical interaction with another ‘probe’ element is replaced by the CUFT’s hypothesized (singular) conceptually higher-ordered ‘D2’s’ rapid series of USCF’s (e.g., governed by the above Universal Computational Formula); Specifically, the Duality Principle’s conceptual proof for the principle inability of the SROCS computational structure to compute the “collapse” of (an assumed) “probability wave function” (‘target’ element) based on its direct physical interaction (at ‘di1’) with another ‘probe’ measuring element has led to a reformalization of the various subatomic quantum effects, including: the “collapse” of the “probability wave function”, the “particle-wave duality”, the “Uncertainty Principle’s” computational complimentary features, and “quantum entanglement” as arising from the (singular higher-ordered ‘D2’) rapid USCF’s series:
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Thus, instead of Quantum theory’s (currently assumed) “collapse” of the ‘probability wave function’, the CUFT posits that there exists a rapid series of ‘Universal Simultaneous Computational Frames’ (USCF’s) that can be looked at from a ‘single’ spatial-temporal perspective (e.g., subatomic ‘particle’ or relativistic well localized ‘object’ or ‘event’) or from a ‘multiple’ spatial-temporal perspective (e.g., subatomic ‘wave’ measurement or conceptualization). Moreover, the CUFT hypothesizes that both the subatomic ‘single spatial-temporal’ “particle” and ‘multiple spatial-temporal’ “wave” measurements are embedded within an exhaustive series of ‘Universal Computational Simultaneous Frames’ (USCF’s) (e.g., that are governed by the above mentioned Universal Computational Formula). In this way, it is suggested that the CUFT is able to resolve all three abovementioned (apparent) conceptual differences between quantum and relativistic models of the physical reality: This is because instead of the ‘collapse’ of the assumed ‘quantum probability wave function’ through its (SROCS based) direct physical interaction with another subatomic probe element, the CUFT posits the existence of the rapid series of USCF’s that can give rise to ‘single-spatial temporal’ (subatomic “particle” or relativistic ‘object’ or ‘event’) or to ‘multiple spatial-temporal’ (subatomic or relativistic) “wave” phenomenon; Hence, instead of the current “probabilistic-quantum” vs. “positivistic-relativistic” (apparently disparate) theoretical models, the CUFT coalesces both quantum and relativistic theoretical models as constituting integral elements within a singular rapid series of USCF’s. Thereby, the CUFT can explain all of the (apparently incongruent) quantum and relativistic phenomena (and laws) such as for instance, the (abovementioned) ‘particle’ vs. ‘wave’ and ‘quantum entanglement’ phenomena – e.g., which is essentially a representation of the fact that all single- multiple- (or exhaustive) measurements are embedded within the series of ‘Universal Simultaneous Computational Frames’ (USCF’s) and therefore that two apparently “distinct” ‘single spatial-temporal’ measured “particles” that are embedded within the ‘multiple spatial-temporal’ “wave” measurement necessarily constitute integral parts of the same singular simultaneous USCF’s (which therefore give rise to the apparent \'quantum entanglement\' phenomenon). Nevertheless, due to the above mentioned ‘computational exhaustiveness’ (or ‘complimentarity’) the computation of such apparently ‘distinct’ “particles” embedded within the same “wave” and USCF’s (series) leads to the known quantum (‘uncertainty principle’s’) complimentary computational (e.g., simultaneous) constraints applying to the measurement of ‘space’ and ‘energy’ (e.g., \'frame\': consistent vs. inconsistent features), or of ‘mass’ ad ‘time’ (e.g., \'object\': consistent vs. inconsistent features). Such USCF’s based theoretical account for the empirically validated “quantum entanglement” natural phenomena is also capable of resolving the apparent contradictions that seems to exist between such “simultaneous action at a distance” (to quote Einstein’s famous objection) and Relativity’s constraint set upon the transmission of any signal at a velocity that exceeds the speed of light: this is due to the fact that while the CUFT postulates that the “entangled particles” are computed simultaneously (along with the entire physical universe) as part of the same USCF/s (e.g., and more specifically of the same multi spatial-temporal “wave” pattern).
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Another important aspect of this (hypothetical) Universal Computational Formula’s representation of the CUFT may be its capacity to replicate Relativity’s curvature of ‘space-time’ based on the existence of certain massive objects (which in turn also affects their own space-time pathway etc.): Interestingly, the CUFT points at the existence of USCF’s regions that may constitute: “high-space, high-time; high-mass, low-energy” vs. other regions which may be characterized as: “low-space, low-time; low-mass, high-energy” based on the computational features embedded within the CUFT (and its representation by the above Universal Computational Formula). This is based on the Universal Computational Formula’s (integrated) representation of the CUFT’s basic computational definitions ‘space’, ‘time’, ‘energy’ and ‘mass’ as:
which represents: ‘space’ – as the number of (accumulated) USCF’s ‘consistent-frame’ pixels that any given object occupies and its (converse) computational definition of ‘time’ as the number of ‘inconsistent-object’ pixels; and likewise the computational definition of ‘mass’ – as the number of ‘consistent-object’ USCF’s pixels and of ‘energy’ – as the (computational) definition of ‘mass’ as the number of ‘inconsistent-frame’ USCF’s pixels.
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Hence, General Relativity may represent a \'special case\' embedded within the CUFT\'s Universal Computational Formula integrated relationships between \'space\', \'time\', \'energy\' and \'mass\' (computational definitions): This is because General Relativity describes the specific dynamics between the "mass" of relativistic objects (e.g., a \'global-object-consistent\' computational measure), their curvature of "space-time" (i.e., based on an \'frame-consistent\' vs. \'object-inconsistent\' computational measures) and its relationship to the \'energy-mass\' equivalence (e.g., reflecting a \'frame-inconsistent\' – \'object-consistent\' computational measures); This is because from the (above mentioned) ‘global’ computational measurement perspective there seems to exist those USCF’s regions which are displaced significantly across frames (e.g., possess a high \'global-inconsistent-frame\' energy value) – and therefore also exhibit increased \'global-object-consistent\' mass value, and moreover are necessarily characterized by their (apparent) curvature of \'space-time\' (i.e., alteration of the \'global-frame-consistent\' space values and associated \'global-object-inconsistent\' time values)…
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Therefore, in the special CUFT\'s case described by General Relativity we obtain those "massive" objects, i.e., which arise from high \'global-frame-inconsistent\' energy values (e.g., which are therefore presented many times consistently across frames – yielding a high \'global-object-consistent\' mass value); These objects also produce low (dilated) global temporal values since the high \'global-object-consistent\' (mass) value is inevitably linked with a low \'global-object-inconsistent\' (time) value; Finally, such a high \'global-frame-inconsistent\' (energy) object also invariably produces low \'global-frame-consistent\' spatial measures (e.g., in the vicinity of such \'high-energy-high-mass\' object). Thus, it may be the case that General Relativity’s described mechanical dynamics between the mass of objects and their curvature of ‘space-time’ (which interacts with these objects’ charted space-time pathway) represents a particular instance embedded within the more comprehensive (CUFT) Universal Computational Formula’s outline of a (singular) USCF’s-series based D2 computation (e.g., comprising the three above mentioned ‘Framework’, Consistency’ and ‘Locus’ Computational Dimensions) of the four basic ‘physical’ features of ‘space’, ‘time’, ‘energy’ and ‘mass’ interrelationships (e.g., as ‘secondary’ emerging computational products of this singular Universal Computational Formula driven process)...
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Indeed, the CUFT’s hypothesized rapid series of USCF’s (governed by the above mentioned ‘Universal Computational Formula’) integrates (perfectly) between the essential quantum complimentary features of ‘space and energy’ or ‘time and mass’ (e.g., which arises as a result of the abovementioned ‘computational exhaustiveness’ of each of the Computational Framework Dimension’s ‘frame’ and ‘object’ levels, which was represented earlier by one of the derivations of the Universal Computational Formula); “quantum entanglement”, the “uncertainty principle” and the “particle-wave duality” (e.g., which arises from the existence of the postulated ‘Universal Simultaneous Computational Frames’ [USCF’s] that compute the entire spectrum of the physical universe simultaneously per each given USCF and which embed within each of these USCF’s any ‘single- spatial-temporal’ measurements of “entangled particles” as constituting integral parts of a ‘multiple spatial-temporal’ “wave” patterns); Quantum mechanics’ minimal degree of physical change represented by Planck’s ‘h’ constant (e.g., which signifies the CUFT’s ‘minimal degree of inter-USCF’s change’ for all four ‘physical’ features of ‘space’, ‘time’, ‘energy’ and ‘mass’); As well as the relativistic well validated physical laws and phenomena of the “equivalence of energy and mass” (e.g., the famous “E= Mc2” which arises as a result of the transformation of any given object’s or event’s ‘frame-inconsistent’ to ‘object-consistent’ computational measures based on the maximal degree of change, but which also involves the more comprehensive and integrated Universal Computational Formula derivation: t x m x (c2/h x י) = s x e.); Relativity’s ‘space-time’ and ‘energy-mass’ relationships expressed in terms of their constitution of an integrated singular USCF’s series which is given through an alternate derivation of the same Universal Computational Formula:
Indeed, this last derivation of the Universal Computational Formula seems to encapsulate General Relativity’s proven dynamic relationships that exist between the curvature of space-time by mass and its effect on the space-time pathways of any such (massive) object/s – through the complete integration of all four physical features within a singular (conceptually higher-ordered ‘D2’) USCF’s series... Specifically, this (last) derivation of the (abovementioned) Universal Computational Formula seems to integrate between ‘space-time’ – i.e., as a ratio of a ‘frame-consistent’ computational measure divided by ‘object-inconsistent’ computational measure – as equal to the computational ratio that exists between ‘mass’ (e.g., ‘object-consistent’) divided by ‘energy’ (e.g., ‘frame-inconsistent’) multiplied by the Rate of Universal Computation (R = c2/h) and multiplied by the Universal Computational Principle’s operation (‘י’); Thus, the CUFT’s (represented by the above Universal Computational Formula) may supply us with an elegant, comprehensive and fully integrated account of the four basic ‘physical’ features constituting the physical universe (e.g., or indeed any set of computational object/s, event/s or phenomena etc.):
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Therefore, also the Universal Computational Formula’s full integration of Relativity’s maximal degree of inter-USCF’s change (e.g., represented as: ‘c2’) together with Quantum’s minimal degree of inter-USCF’s change (e.g., represented by: Planck’s constant ’h’) produces the ‘Rate’ {R} of such rapid series of USCF’s as: R = c2/h, which is computed by the Universal Computational Principle ‘י’ and gives rise to all four ‘physical’ features of ‘space’, ‘time’, ‘energy’ and ‘mass’ as integral aspects of the same rapid USCF’s universal computational process.
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Thus, we can see that the discovery of the hypothetical Computational Unified Field Theory’s (CUFT’s) rapid series of USCF’s fully integrates between hitherto validated quantum and relativistic empirical phenomena and natural laws, while resolving all of their apparent contradictions.
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6. CUFT: Theoretical ramifications
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Several important theoretical ramifications may follow from the CUFT; First, the CUFT’s (novel) definition of ‘space’, ‘time’, ‘energy’ and ‘mass’ – as emerging computational properties which arise as a result of different combinations of the three Computational Dimensions (e.g., of ‘Framework’, ‘Consistency’ and ‘Locus’) transform these apparently “physical” properties into (secondary) ‘computational properties’ of a D2 series of USCF’s... This means that instead of ‘space’, ‘energy’, ‘mass’ and ‘time’ existing as "independent - physical” properties in the universe they arise as \'secondary integrated computational properties\' (e.g., ‘object’/’frame’ x ‘consistent’/’inconsistent’ x ‘global’/’local’) of a singular conceptually higher-ordered \'D2\' computed USCF’s series…
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Second, such CUFT’s delineation of the USCF’s arising (secondary) computational features of ‘space’, ‘time’, ‘energy’ and ‘mass’ is also based on one of the (three) postulates of the CUFT, namely: the ‘Duality Principle’, i.e., recognizing the computational constraint set upon the determination of any “causal-physical” relationship between any two (hypothetical) interacting ‘x’ and ‘y’ elements (at any direct ‘di1’ or indirect \'…din\' computational level/s), but instead asserting only the existence of a conceptually higher-ordered’D2’ computational level which can compute only the “co-occurrences” of any two or more hypothetical spatial-temporal events or phenomena etc. This means that the CUFT’s hypothesized ‘D2’ computation of a series of (extremely rapid) USCF’s does not leave any room for the existence of any (direct or indirect) “causal-physical” ‘x→y’ relationship/s. Instead, the hypothesized D2 A-Causal Computation calls for the computation of the co-occurrences of certain related phenomena, factors or events – but which lack any “real” ‘causal-physical’ relationship/s (phenomena or laws)...
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Third, the Duality Principle’s above mentioned necessity to replace any (direct or indirect) causal-physical relationship (or scientific paradigm), e.g., “x→y” by the CUFT’s hypothesized D2 A-Causal Computation of the “co-occurrence” of particular spatial-temporal factors, events, phenomena etc. that constitute certain ‘spatial-pixels’ within a series of USCF’s may have significant theoretical ramifications for several other key scientific paradigms (across the different scientific disciplines); Specifically, it is suggested that perhaps an application of the Duality Principle’s identified- and constrained- SROCS computational structure (e.g., of the general form: PR{x,y}/di1→[‘y’ or ‘not y’]/di1) towards key existing scientific paradigms such as: ‘Darwin’s Natural Selection Principle’, ‘Gödel\'s Incompleteness Theorem’ (e.g., and Hilbert’s failed ‘Mathematical Program’), Neuroscience’s (currently assumed) ‘materialistic-reductionistic’ working hypothesis etc. may open the door for a potential reformalization of these scientific paradigms in a way that is compatible with the novel computational Duality Principle and its ensued CUFT.
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Hence, to the extent that the hypothesized CUFT may replicate (adequately) all known quantum and relativistic empirical phenomena and moreover offer a satisfactory (conceptually higher-ordered ‘D2’) USCF’s series based computational framework that may harmonize- and bridge the gap- between quantum and relativistic models of physical reality, the CUFT may constitute a potential candidate to integrate (and replace) both quantum and relativistic theoretical models; However, in order for such (potentially) serious theoretical consideration to occur, the next required step will be to identify those particular (empirical) instances in which the CUFT’s predictions may differ (significantly) from those of quantum mechanics or Relativity theory.
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7. Conclusion
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In order to address the principle contradiction that exists between quantum mechanics and Relativity Theory (e.g., comprising of: Probabilistic vs. deterministic models of physical reality, “Simultaneous-entanglement” vs. “non-simultaneous-causality” features and Single vs. multiple spatial-temporal modeling) a computational-empirical analysis of a fundamental ‘Self-Referential Ontological Computational System’ (SROCS) structure underlying both theories was undertaken; It was suggested that underlying both quantum and relativistic modeling of physical reality there is a mutual \'SROCS’ which assumes that it is possible to determine the ‘existence’ or ‘non-existence’ of a certain ‘y’ factor solely based on its direct physical interaction (PR{x,y}/di1) with another ‘x’ factor (e.g., at the same ‘di1’ computational level), thus:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t:\n\t\t\t\t\t\t PR\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\n\t\t\t\t\t\t/\n\t\t\t\t\t\tdi1\n\t\t\t\t\t\t→\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\ty\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\tnot y\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\n\t\t\t\t\t\t’\n\t\t\t\t\t\t/\n\t\t\t\t\t\tdi1\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE53
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In the case of Relativity theory, such basic SROCS computational structure pertains to the computation of any spatial-temporal or energy-mass value/s of any given event (or object) – based (solely) on its direct physical interaction with any hypothetical (differential) relativistic observer:
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\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tO\n\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\td\n\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\t\tf\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tnot P\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t e\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE54
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In the case of quantum mechanics, it is hypothesized that precisely the same SROCS/SRONCS computational structure may pertain to the quantum mechanical computation of the physical properties of any given subatomic ‘target’ (e.g., assumed to be dispersed all along a probability wave function) that is hypothesized to be determined solely through its direct physical interaction with another subatomic complimentary ‘probe’ entity, thus:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tSROCS\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t→\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\tnot\n\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE55
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However, the computational-empirical analysis indicated that such SROCS computational structure (which underlies both quantum and relativistic paradigms) inevitably leads to both ‘logical inconsistency’ and ensuing ‘computational indeterminacy’ (i.e., an apparent inability of these quantum or relativistic SROCS systems to determine weather a particular spatial-temporal or energy-mass ‘Phenomenon’ or a particular spatial-energetic or temporal-mass target value “exists” or “doesn’t exist”). But, since there exists ample empirical evidence indicating the capacity of these quantum or relativistic computational systems to determine the “existence” or “non-existence” of any particular relativistic ‘Phenomenon’ or quantum complimentary target value, then a novel computational ‘Duality Principle’ asserts that the currently assumed SROCS computational structure is invalid; Instead, the Duality Principle points at the existence of a conceptually higher-ordered (‘D2’) “a-causal” computational framework which computes the “co-occurrences” of any range of quantum ‘probe-target’ or relativistic ‘observer-Phenomenon’ pairs thus:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tD2\n\t\t\t\t\t\t\t\t:\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t;\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t≠\n\t\t\t\t\t\t\t\t PR\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t{\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t[\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tP\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t−\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ti\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\t;\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t...\n\t\t\t\t\t\t\t\t\t\t\t\t P\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t or \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t‘\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t’\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\tT\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\te\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\ts\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t,\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tt\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t(\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tm\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t+\n\t\t\t\t\t\t\t\t\t\t\t\t\t\tn\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t)\n\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t]\n\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t}\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t/\n\t\t\t\t\t\t\t\tdi1\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE56
Indeed, a further application of this (new) hypothetical computational Duality Principle indicated that there cannot exist “multiple D2” computational levels but rather only one singular ‘conceptually higher-ordered ‘D2’ computational framework as underlying both quantum and relativistic (abovementioned) ‘co-occurring’ phenomena.
\n\t\t\t
Next, an examination of the potential characteristics of such conceptually higher-ordered (singular) ‘a-causal D2’ computational framework indicated that it may embody ‘single’- ‘multiple’- and ‘exhaustive’ spatial-temporal measurements as embedding all hypothetical ‘probe-target’ subatomic pairs or all hypothetical (differential) observer/s – ‘Phenomenon’ pairs; It was suggested that such D2 (singular ‘a-causal’) arrangement of all hypothetical quantum ‘probe-target’ or relativistic ‘observer-Phenomenon’ pairs may give rise to all known single spatial-temporal (quantum) “particle” or (relativistic) “object” or “event” measurements or all multiple spatial-temporal “wave” measurements. Moreover, when we broaden our computational analysis beyond the scope of such ‘single-’ or ‘multiple’ spatial-temporal measurements (or conceptualizations) to the entire corpus of all hypothetical possible spatial-temporal points- e.g., as \'co-occurring\' at the Duality Principle’s asserted conceptually higher-ordered ‘D2’ computational framework, then this may point at the existence of a series of ‘Universal Simultaneous Computational Frames’ (USCF’s). The existence of such (a series of) hypothetical conceptually higher-ordered ‘D2’ series of USCF’s which constitute the entirety of all hypothetical (relativistic) spatial-temporal or energy-mass phenomena and all hypothetical (quantum complimentary) spatial-energetic or temporal-mass “pixels” was suggested by the well-validated empirical phenomenon of ‘quantum entanglement’ (e.g., relating to a ‘computational linkage’ between \'greater than light-speed travelling distance\' of two spatial-temporal "entangled particles"); This is because based on the fact that two such disparate \'entangled\' quantum “particles” (e.g., which could hypothetically comprise a probability wave function that can span tremendous cosmic distances) we may infer that the entirety of all (hypothetical) cosmic quantum (complimentary) \'probe-target\' pairs or all (hypothetical) relativistic \'observer-Phenomenon\' pairs may be computed as "co-occurring" simultaneously as part of such (hypothetical) \'D2\' \'Universal Simultaneous Computational Frames\' (USCF\'s).
\n\t\t\t
This hypothetical (rapid series of) \'Universal Simultaneous Computational Frames\' (USCF\'S) was further stipulated to possess three basic (interrelated) \'Computational Dimensions\' which include: Computational ‘Framework’ (e.g., relating to the entire USCF/s ‘frame/s’ or to a particular ‘object’ within the USCF/s), Computational ‘Consistency’ (which refers to the degree of \'consistency\' of an object or of segments of the frame across a series of USCF’s (e.g., ‘consistent’ vs. ‘inconsistent’), and Computational ‘Locus’ of (e.g., whether the computation is carried out ‘locally’- from within any particular object or ‘reference system’, or ‘globally’- i.e., externally to a particular reference system from the perspective of the entire frame or segments of the frame). Interestingly (partially) by using a \'cinematic film metaphor\' it was possible to derive and formalize each of the four basic physical features of \'space\', \'time\', \'energy\' and \'mass\' as emerging (secondary) computational properties arising from the singular \'D2\' computation of a series of USCF\'s – through a combination of the two Computational Dimensions of \'Framework\' and \'Consistency\': Thus, a combination of the \'object\' level (e.g., within the \'Framework\' Dimension) with the \'consistent\' vs. \'inconsistent\' levels (of the \'Consistency\' Dimension) produced the physical properties of \'mass\' and \'time\' (correspondingly); On the other hand, a combination of the \'frame\' level (within the Framework Dimension) and the \'consistent\' vs. \'inconsistent\' (\'Consistency\' Dimension) yielded the two other basic physical features of \'space\' and \'energy\'. It was further hypothesized that (following the cinematic-film analogy) the minimal (possible) degree of ‘change’ across any two (subsequent) ‘Universal Simultaneous Computational Frames’ (USCF’s) is given by Planck’s ‘h’ constant (e.g., for the various physical features of ‘space’, ‘time’, ‘energy’ or ‘mass’), whereas the maximal (possible) degree of change across two such (subsequent) USCF’s is be given by: ‘c\n\t\t\t\t\n\t\t\t\t\t2\n\t\t\t\t\n\t\t\t\t’; Finally, the \'rate\' at which the series of USCF\'s may be computed (or presented) was hypothesized to be given by: c2/h!
\n\t\t\t
Hence, based on the above mentioned three basic theoretical postulates of the ‘Duality Principle’ (e.g., including the existence of a conceptually higher-ordered ‘D2 A-Causal’ Computational framework), the existence of a rapid series of ‘Universal Simultaneous Computational Frames’ (USCF’s) and their accompanying three Computational Dimensions of – ‘Framework’ (‘frame’ vs. ‘object’), ‘Consistency’ (‘consistent’ vs. ‘inconsistent’) and ‘Locus’ (‘global’ vs. ‘local’) a (novel) ‘Computational Unified Field Theory’ (CUFT) was hypothesized; Based on a computational formalization of each of the four basic physical features of \'space\' and \'energy\', \'mass\' and \'time\' (e.g., which arise as secondary computational measures of the singular D2 rapid series of USCF\'s Computational Dimensions combination of \'frame\': \'consistent\' vs. \'inconsistent\' and \'object\': \'consistent\' vs. \'inconsistent\', correspondingly), the hypothesized \'Computational Unified Field Theory\' (CUFT) can account for all known quantum and relativistic empirical findings, as well as seem to \'bridge the gap\' between quantum and relativistic modeling of physical reality: Specifically, the various relativistic phenomena were shown to arise based on the interaction between the two (\'global\' vs. \'local\') \'Framework\' and (consistent vs. inconsistent) \'Consistency\' computational dimensions. Conversely, a key quantum complimentary feature that characterizes the probabilistic interpretation of the \'uncertainty principle (e.g., as well as the currently assumed "collapse" of the probability wave function) was explained based on the \'computational exhaustiveness\' arising from the computation of both the \'consistent\' and \'inconsistent\' aspects (or levels) of the Computational Dimensions\' levels of \'frame\' or \'object\'; Thus for instance, both the \'consistent\' and \'inconsistent\' aspects (or levels) of the (Framework dimension\'s) \'frame\' level (e.g., which comprise the quantum measurements of \'space\' and \'energy\', respectively) exhaustively describe the entire spectrum of this \'frame\' computation. Thus, for instance, if we opt to increase the accuracy of the subatomic \'spatial\' (\'frame-consistent\') measurement, then we also necessarily decrease the computational accuracy of its converse (exhaustive) \'energy\' (e.g., \'frame-inconsistent\') measure etc.
\n\t\t\t
Indeed, such CUFT\'s reformalization of the key quantum and relativistic laws and empirical phenomena as arising from the singular (rapid series of) USCF\'s interrelated (secondary) computational measures (e.g., of the four basic quantum and relativistic physical features of \'space\', \'time\', \'energy\' and \'mass\' has led to the formulation of a singular \'Universal Computational Formula\' which was hypothesized to underlie- harmonize- and broaden- the current quantum and relativistic models of physical reality:
\n\t\t\t
\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tc\n\t\t\t\t\t\t\t\t\t2\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tx\n\t\t\t\t\t\t\t\t\t′\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\th\n\t\t\t\t\t\t\n\t\t\t\t\t\t=\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\ts x e\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\tt m\n\t\t\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\n\t\t\tE58
\n\t\t\t
wherein the left side of this singular hypothetical Universal Computational Formula represents the (abovementioned) universal rate of computation by the hypothetical Universal Computational Principle, whereas the right side of this Universal Computational Formula represents the ‘integrative-complimentary’ relationships between the four basic physical features of ‘space’ (s), ‘time’ (t), ‘energy’ (e) and ‘mass’ (m), (e.g., as comprising different computational combinations of the three (abovementioned) Computational Dimensions of ‘Framework’, ‘Consistency’ and ‘Locus’;
\n\t\t\t
Note that on both sides of this Universal Computational Formula there is a coalescing of the basic quantum and relativistic computational elements – such that the rate of Universal Computation is given by the product of the maximal degree of (inter-USCF’s relativistic) change ‘c2’ divided by the minimal degree of (inter-USCF’s quantum) change ‘h’; Likewise, the right side of this Universal Computational Formula meshes together both quantum and relativistic computational relationships – such that it combines between the relativistic products of space and time (s/t) and energy-mass (e/m) together with the quantum (computational) complimentary relationship between ‘space’ and ‘energy’, and ‘time’ and ‘mass’;Significantly, it was suggested that the three (above mentioned apparent) principle differences between quantum and relativistic theories, namely: ‘probabilistic’ vs. ‘positivistic’ models of physical reality, ‘simultaneous-entanglement’ vs. ‘non-simultaneous causality’ and ‘single-’ vs. ‘multiple-’ spatial-temporal modeling can be explained (in a satisfactory manner) based on the new (hypothetical) CUFT model (represented by the Universal Computational Formula);
\n\t\t\t
Finally, there may be important theoretical implications to this (new) hypothetical CUFT;
\n\t\t\t
First, instead of ‘space’, ‘energy’, ‘mass’ and ‘time’ existing as "independent-physical” properties in the universe they may arise as \'secondary integrated computational properties\' (e.g., ‘object’/’frame’ x ‘consistent’/’inconsistent’ x ‘global’/’local’) of a singular conceptually higher-ordered \'D2\' computed USCF’s series…
\n\t\t\t
Second, based on the \'Duality Principle\' postulate underlying the CUFT which proves the conceptual computational constraint set upon the determination of any “causal-physical” relationship between any two (hypothetical) ‘x’ and ‘y’ elements (at the ‘di1’ computational level), we are forced to recognize the existence of a conceptually higher-ordered’D2’ computational level which can compute only the “co-occurrences” of any two or more hypothetical spatial-temporal events or phenomena etc. This means that the CUFT’s hypothesized ‘D2’ computation of a series of (extremely rapid) USCF’s does not leave any room for the existence of any (direct or indirect) “causal-physical” ‘x→y’ relationship/s, but instead points at the. singular conceptually higher-ordered D2 A-Causal Computation which computes the co-occurrences of certain related phenomena, factors or events…
\n\t\t\t
Third, an application of one of the three theoretical postulates underlying this novel CUFT, namely: the \'Duality Principle\' to other potential \'Self-Referential Ontological Computational Systems\' (SROCS) including: ‘Darwin’s Natural Selection Principle’, ‘Gödel\'s Incompleteness Theorem’ (e.g., and Hilbert’s “failed” ‘Mathematical Program’), Neuroscience’s (currently assumed) ‘materialistic-reductionistic’ working hypothesis etc. (Bentwich, 2003a, 2003b, 2003c, 2004, 2006a, 2006b) (may open the door for a potential reformalization of these scientific paradigms in a way that is compatible with the novel computational Duality Principle and its ensued CUFT.
\n\t\t
\n\t
Acknowledgments
\n\t\t\t
I would like to greatly thank Mr. Brian Fisher for his continuous input, support and encouragement of the development of the ideas that have led to the CUFT – without whom this work would not have been possible; I would like to thank my wife, Dr. Talyah Unger-Bentwich for her unfailing support and dialogue for the past fourteen years which have allowed me to work productively on this theory. I\'d like to thank my dear mother, Dr. Tirza Bentwich for her lifelong nurturance of my thinking which have formed the basis for the development of this theory. Finally, I\'d like to thank Dr. Boaz Tamir for a few discussions prior to the publication of this chapter.
\n\t\t
\n',keywords:null,chapterPDFUrl:"https://cdn.intechopen.com/pdfs/29596.pdf",chapterXML:"https://mts.intechopen.com/source/xml/29596.xml",downloadPdfUrl:"/chapter/pdf-download/29596",previewPdfUrl:"/chapter/pdf-preview/29596",totalDownloads:2851,totalViews:156,totalCrossrefCites:0,totalDimensionsCites:0,hasAltmetrics:0,dateSubmitted:"April 30th 2011",dateReviewed:"September 16th 2011",datePrePublished:null,datePublished:"February 24th 2012",dateFinished:null,readingETA:"0",abstract:null,reviewType:"peer-reviewed",bibtexUrl:"/chapter/bibtex/29596",risUrl:"/chapter/ris/29596",book:{slug:"theoretical-concepts-of-quantum-mechanics"},signatures:"Jonathan Bentwich",authors:[{id:"99692",title:"Dr.",name:"Jonathan",middleName:null,surname:"Bentwich",fullName:"Jonathan Bentwich",slug:"jonathan-bentwich",email:"drbentwich@gmail.com",position:null,institution:null}],sections:[{id:"sec_1",title:"1. Introduction",level:"1"},{id:"sec_2",title:"2. The ‘Duality Principle’: Constraining quantum and relativistic 'Self-Referential Ontological Computational System' (SROCS) paradigms",level:"1"},{id:"sec_3",title:"3. ‘D2’: A singular 'a-causal' computational framework",level:"1"},{id:"sec_3_2",title:"3.1. Single- multiple- and exhaustive- spatial-temporal measurements",level:"2"},{id:"sec_4_2",title:"3.2. The ‘Universal Simultaneous Computational Frames’ (USCF’s)",level:"2"},{id:"sec_5_2",title:"3.3. Computational- framework, consistency and locus",level:"2"},{id:"sec_7",title:"4. The ‘Computational Unified Field Theory’ (CUFT)",level:"1"},{id:"sec_7_2",title:"4.1. The CUFT’s replication of quantum & relativistic findings",level:"2"},{id:"sec_8_2",title:"4.2. The ‘Universal Computational Formula’",level:"2"},{id:"sec_10",title:"5. Unification of quantum and relativistic models of physical reality",level:"1"},{id:"sec_11",title:"6. CUFT: Theoretical ramifications",level:"1"},{id:"sec_12",title:"7. 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Interview with Professor Edward Witten, Frontline, 18\n\t\t\t\t\t18\n\t\t\t\t\t3\n\t\t\t\t\t1124\n\t\t\t\t\t1129 )\n\t\t\t'},{id:"B16",body:'\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\tStephen\n\t\t\t\t\t\t\tW.\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t2007\n\t\t\t\t\t Hawking Godel and the end of Physics.\n\t\t\t\t\tPublic lecture on March 8 at Texas A&M University)\n\t\t\t\t\n\t\t\t'},{id:"B17",body:'\n\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\tWitten\n\t\t\t\t\t\t\tE.\n\t\t\t\t\t\t\n\t\t\t\t\t\n\t\t\t\t\t1998 Magic, Mystery and Matrix. Notices of the AMS\n\t\t\t\t\t45\n\t\t\t\t\t9\n\t\t\t\t\n\t\t\t'}],footnotes:[],contributors:[{corresp:null,contributorFullName:"Bentwich Jonathan",address:null,affiliation:'
Brain Perfection LTD, Israel
'}],corrections:null},book:{id:"1613",title:"Theoretical Concepts of Quantum Mechanics",subtitle:null,fullTitle:"Theoretical Concepts of Quantum Mechanics",slug:"theoretical-concepts-of-quantum-mechanics",publishedDate:"February 24th 2012",bookSignature:"Mohammad Reza Pahlavani",coverURL:"https://cdn.intechopen.com/books/images_new/1613.jpg",licenceType:"CC BY 3.0",editedByType:"Edited by",isbn:null,printIsbn:"978-953-51-0088-1",pdfIsbn:"978-953-51-4957-6",editors:[{id:"101263",title:"Prof.",name:"Mohammad Reza",middleName:null,surname:"Pahlavani",slug:"mohammad-reza-pahlavani",fullName:"Mohammad Reza Pahlavani"}],productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"},chapters:[{id:"29575",title:"Complementarity in Quantum Mechanics and Classical Statistical Mechanics",slug:"complementarity-in-quantum-mechanics-and-classical-statistical-mechanics",totalDownloads:6513,totalCrossrefCites:0,signatures:"Luisberis Velazquez Abad and Sergio Curilef Huichalaf",authors:[{id:"92857",title:"Dr.",name:"Luisberis",middleName:null,surname:"Velazquez",fullName:"Luisberis Velazquez",slug:"luisberis-velazquez"},{id:"125424",title:"Prof.",name:"Sergio",middleName:null,surname:"Curilef",fullName:"Sergio Curilef",slug:"sergio-curilef"}]},{id:"29576",title:"The Physical Nature of Wave/Particle Duality",slug:"the-physical-nature-of-wave-particle-duality",totalDownloads:6393,totalCrossrefCites:0,signatures:"Marcello Cini",authors:[{id:"95127",title:"Prof.",name:"Marcello",middleName:null,surname:"Cini",fullName:"Marcello Cini",slug:"marcello-cini"}]},{id:"29577",title:"The Bicomplex Heisenberg Uncertainty Principle",slug:"the-bicomplex-heisenberg-uncertainty-principle",totalDownloads:3926,totalCrossrefCites:0,signatures:"Raphaël Gervais Lavoie and Dominic Rochon",authors:[{id:"98444",title:"Prof.",name:"Dominic",middleName:null,surname:"Rochon",fullName:"Dominic Rochon",slug:"dominic-rochon"},{id:"98454",title:"MSc.",name:"Raphaël",middleName:null,surname:"Gervais Lavoie",fullName:"Raphaël Gervais Lavoie",slug:"raphael-gervais-lavoie"}]},{id:"29578",title:"Correspondence, Time, Energy, Uncertainty, Tunnelling, and Collapse of Probability Densities",slug:"correspondence-time-energy-uncertainty-tunnelling-and-collapse-of-probability-densities",totalDownloads:3351,totalCrossrefCites:0,signatures:"Gabino Torres–Vega",authors:[{id:"93519",title:"Dr.",name:"Gabino",middleName:null,surname:"Torres-Vega",fullName:"Gabino Torres-Vega",slug:"gabino-torres-vega"}]},{id:"29579",title:"Anisotropic Kepler Problem and Critical Level Statistics",slug:"anisotropic-kepler-problem-and-critical-level-statistics",totalDownloads:3597,totalCrossrefCites:1,signatures:"Kazuhiro Kubo and Tokuzo Shimada",authors:[{id:"97094",title:"Prof.",name:"Tokuzo",middleName:null,surname:"Shimada",fullName:"Tokuzo Shimada",slug:"tokuzo-shimada"},{id:"102420",title:"Dr.",name:"Kazuhiro",middleName:null,surname:"Kubo",fullName:"Kazuhiro Kubo",slug:"kazuhiro-kubo"}]},{id:"29580",title:"Theory of Elementary Particles Based on Newtonian Mechanics",slug:"theory-of-elementary-particles-based-on-newtonian-mechanics",totalDownloads:3839,totalCrossrefCites:0,signatures:"Nikolai A. 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Maydanyuk, A. Del Popolo, V. S. Olkhovsky and E. 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Olkhovsky, Erasmo Recami and Sergei P. Maydanyuk",authors:[{id:"92941",title:"Dr.",name:"Sergei",middleName:"Petrovich",surname:"Maydanyuk",fullName:"Sergei Maydanyuk",slug:"sergei-maydanyuk"},{id:"103668",title:"Prof.",name:"Vladislav",middleName:"Sergeyevich",surname:"Olkhovsky",fullName:"Vladislav Olkhovsky",slug:"vladislav-olkhovsky"}]},{id:"29088",title:"Order of Time Derivatives in Quantum-Mechanical Equations",slug:"what-is-the-order-of-time-derivatives-in-quantum-mechanical-equations-",signatures:"Jan Jerzy Sławianowski",authors:[{id:"103754",title:"Prof.",name:"Jan",middleName:"Jerzy",surname:"Slawianowski",fullName:"Jan Slawianowski",slug:"jan-slawianowski"}]},{id:"29089",title:'Theory of “Weak Value" and Quantum Mechanical Measurements',slug:"theory-of-weak-value-and-quantum-mechanical-measurement",signatures:"Yutaka Shikano",authors:[{id:"92796",title:"Associate Prof.",name:"Yutaka",middleName:null,surname:"Shikano",fullName:"Yutaka Shikano",slug:"yutaka-shikano"}]},{id:"29090",title:"Generalized Non-Relativistic Supersymmetric Quantum Mechanics",slug:"generalized-supersymmetric-quantum-mechanics",signatures:"Thomas L. Markovich, Mason T. Biamonte, Eric R. Bittner and Donald J. 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\n
1. Introduction
\n
Leiomyomas also called uterine myomas, uterine fibroids, or fibromyomas are discrete, rounded, firm, white to pale pink, benign myometrial tumours composed mostly of smooth muscle with varying amounts of fibrous connective tissues [1]. Uterine fibroids or leiomyomas are benign tumours of the uterine smooth muscles. They are benign clonal neoplasms that contain an increased amount of extracellular collagen, elastin and are surrounded by a thin pseudo-capsule. They may enlarge to cause significant distortion of the uterine surface or cavity. Their size will then be described in menstrual weeks, as in a pregnant uterus [2].
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Most fibroids are asymptomatic; usually asymptomatic in pregnancy but may interfere with conception and may cause spontaneous abortion, missed abortions, painful red degeneration or infarction of the fibroids, abnormal foetal presentation, obstructed labour, and an increased likelihood of premature deliveries, caesarean deliveries, postpartum haemorrhage and, whereas, in the non-pregnant state its signs and symptoms are menorrhagia, metorrhagia, menometorrhagia, infertility, constipation, urinary incontinence, and leiosarcoma transformation [3]. Uterine fibroids can occur in the non-pregnant woman and then continue into pregnancy/may develop de novo in pregnancy. In both circumstances, the physiopathology is the same but specific considerations may be taken in its management.
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\n
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2. Epidemiology
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Evidence from the contemporary literature reports that the prevalence rate of uterine fibroid varies between 16.7% - 30% of reproductive-age women and there is a two-fold increase in the prevalence in Afro American women [4, 5]. Also, their incidence tends to peak at the age of 35 years and almost 50% of African women will have uterine fibroid by their 5th decade of life [1]. Leiomyomas are the most frequent pelvic tumours and occur in about 20 to 25% of reproductive-age women. Uterine fibroids and the severity of their symptoms have a predilection for the black ethnicity. Huyck KL et al. in 2008 demonstrated that the odds of having severe symptoms from uterine fibroids are more than five times greater in black African women than in Caucasians [6]. Furthermore, black women develop the disease five to six years earlier and their peak age at diagnosis is 40–44 years [7] as opposed to a to peak age of incidence of 35 years observed in Caucasians [1]. Also, almost 50% of African women will have uterine fibroid by their 5th decade of life [1].
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Risks factors of uterine fibroids include African-American ethnicity, early menarche (less than 11 years) and high body mass index [8, 9]. Moreover, the length of the menstrual cycle has an inversely proportional relationship with fibroids: a shorter cycle is positively correlated with an increased likelihood to develop fibroids [10, 11]. A similar inverse association is observed with use of oral contraceptives, the duration of tobacco smoking and the development of fibroids [12]. On the other hand, multiparity and the late ages of last pregnancy are other protective factors for uterine fibroids [11].
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3. Anatomical Classification of Uterine Fibroids
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According to their anatomic locations, there are three different types of leiomyomas:
Subserosal or subperitoneal leiomyomata are the most common and are usually asymptomatic unless very large. They originate in the myometrium and grow out toward the serosal surface of the uterus, lying beneath the peritoneum [1]. They may lie just at the serosal surface of the uterus or may become pedunculated. They become parasitic when they derive their entire blood supply outside of the uterus, from omental vessels. Sometimes, their pedicles may atrophy and resorb. When they arise laterally, subserous tumours may extend between the two peritoneal layers of the broad ligament to become intraligamentary leiomyomas.
Intramural or interstitial myomas are located within the uterine wall of the myometrium and may distort the shape of the uterine cavity and surface. They may manifest with swelling of the abdomen, menorrhagia and infertility.
Submucosal fibroids are the most symptomatic. They originate in the myometrium and grow toward the endometrial cavity, protruding into the uterine cavity that they tend to compress. Their impact on the endometrium and its blood supply most often lead to irregular uterine bleeding. Other symptoms commonly associated are dysmenorrhea, infertility and recurrent abortions [13]. This type of fibroids may also develop pedicles and protrude fully into the uterine cavity. Occasionally they pass through the cervical canal while still attached within the corpus by a long stalk. There, they are subject to torsion or infection.
Cervical leiomyomas are a rare type. They are sometimes mistaken to vaginal leiomyomas, which may present with the same clinical features [14]. They cause early pressure effects in regions of bladder neck, infection, dyspareunia and infertility.
With respect to the location of the fibroids, 89.4% submucous, 10.6% subserous and 74.5% were intramural according to a study done in Cameroon [15].
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FIGO classification of uterine fibroids (PALM-COEIN)
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Stage 0: a sub-mucosal pedunculated intra-uterine cavity fibroid
Stage 1: a sub-mucosal located less than 50% intra-murally
Stage 2: a sub-mucosal located greater than 50% intra-murally
Stage 3: a fibroid which is 100% interstitially or intra-murally located in contact with the endometrium
Stage 4: a fibroid which is completely interstitially or intra-murally located
Stage 5: a sub-serosal fibroid which is greater than or equall to 50% intra-murally located
Stage 6: a sub-serosal fibroid which is less than 50% intra-murally located
Stage 7: a sub-serosal pedunculated fibroid
Stage 8: others, parasite (round cervical ligament, large ligament).
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4. Physiopathology of Uterine Fibroids
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The cause of uterine leiomyomata is idiopathic till date. However, several hypotheses have been postulated, namely:
Glucose-6-phosphate dehydrogenase studies suggest that each individual leiomyoma is unicellular in origin that is monoclonal [2]. Hence, this implies a genetic probability for the growth of uterine.
In increment in the exposure of circulating oestrogens is another hypothesis for the growth of uterine fibroids. Effectively, leiomyomas contain oestrogen receptors in higher concentrations than the surrounding myometrium. But at lower concentrations than the endometrium, this oestrogen may contribute to tumour enlargement by increasing the production of extracellular matrix. On the other hand, progesterone increases the mitotic activity of myomas in young women. It may allow for tumour enlargement by down-regulating apoptosis in the fibroids [16]. They usually decrease in size after menopause and whenever myomas grow after menopause, malignancy must be seriously considered [17].
\n\n
Malignant transformation of leiomyomas is very rare, seen in 0.04% women having uterine fibroids. In a review of 13,000 leiomyomas, 38 cases (0.29%) demonstrated malignant manifestations. A second study reported that malignant change developed in less than 0.13% of uterine leiomyomas [17]. The diagnosis of leiomyosarcomas is based on the counts of 10 or more mitotic figures per 10 HPFs. Atypical leiomyoma is differentiated from leiomyosarcoma by a lack of necrotizing tumour cells and a mitotic count less than 7 per 10 HPFs. Nuclear atypia makes the difference with mitotically active leiomyoma [18]. Secondary changes may occur when the fibroids tend to outgrow their blood supply. These degenerations include necrotic, haemorrhagic (red degeneration) or septic for the acute ones. Chronic degeneration may be atrophic, hyaline (65%), cystic, calcific (10%), myxomatous (15%), or fatty [1].
\n
\n
\n
5. Diagnoses
\n
\n
5.1 Clinical features
\n
Most at times, leiomyomas are asymptomatic. Symptoms are found only in about 35–50% of the patients. They vary according to the type, location, size, number and vascular supply of the fibroids. These include:
Abnormal bleeding from the uterus
Pain symptoms
Pressure effects
Reproductive dysfunction
\n\n
Bleeding from the uterus is the most common symptom. It may either be during the menstrual periods when the patient will have heavy and prolonged menses called menometorrhagia [16] or it may manifest as light spotting before and after the menses. The incidence of abnormal uterine bleeding was 47.7% in a study done by Okogbo et al. in 2011 in Nigeria [19]. This abnormal bleeding is due to the development or dilatation of endometrial venules which increase the flow during cyclical sloughing or to the increase in size of the uterine cavity by the fibromyomas [17].
\n
Pain may either be due to red degeneration, infarction or torsion of a uterine fibroid, or mat stem from attempts to expel a pedunculated submucousal fibroid [1]. A sensation of pelvic heaviness or fullness or a feeling of a mass in the pelvis is particularly characteristic of large tumours. These may press on nerves within the bony pelvis, creating pain that radiates to the back or lower extremities.
\n
Pressure effects may either be anteriorly on the bladder, causing mainly frequent micturation, and urinary incontinence. Laterally, myomas may compress the ureters, leading to hydroureters. When the base of the bladder is involved, urinary retention may occur. Posteriorly, fibroids may increase the rectal pressure or cause constipation or tenesmus. It should be noted that these pressure symptoms are quite unusual and are difficult to directly relate to fibroids.
\n
The relationship between fibroids and infertility is not clear. Fibroids may have a detrimental effect on fertility in up to 10% of the cases [20]. Infertility may result because of impaired implantation, tubal function or sperm transport.
\n
\n
\n
5.2 Diagnostic tests
\n
The diagnosis of uterine fibroids is made from the signs and symptoms, pelvic examination, laboratory investigations and imaging.
\n
Most leiomyomas are discovered by routine pelvic examination, when a firm mass of an irregular shape is felt in the uterus. To confirm the diagnosis different types of imaging techniques are used:
A Pelvic ultrasound scan is the test of first choice. Here, three-dimensional scan is preferred to a two-dimensional scan due its higher resolution which helps to rule out a pregnancy, other pelvic masses, a congenital uterine malformation [21].
A magnetic resonance imaging is the gold standard test which is highly accurate in depicting the size, number and location of myomas to choose the therapeutical modality.
Saline sonohysterography can identify and characterise the location of submucosal myomas missed on classical abdominal or transvaginal ultrasound.
Plain X-Rays of the lower abdomen and pelvis usually identify only calcified fibroids and sometimes large fibroids may be seen as soft tissue or calcified masses displacing bowel gas [22].
Hysterosalpingography may be useful in the infertile patient. It evaluates the contour of the uterine cavity and the patency of fallopian tubes but does not evaluate the exact location of fibroids.
CT scan is not the investigation of choice, fibroids may be detected incidentally while investigating for another condition.
\n\n
Laboratory investigations may reveal anaemia as a consequence of the menometrorrhagia of fibroids and depletion of iron stores or leucocytosis and raised C-reactive proteins in case of acute degeneration or infection.
\n
Differential diagnoses of leiomyomas include pregnancy, adenomyosis, leiomyosarcoma, or solid ovarian neoplasms. Other conditions to be considered include sub involution, congenital anomalies, adherent adnexa, omentum or bowel benign hypertrophy, and sarcoma or carcinoma of the uterus [1]. The most common symptom of leiomyomata, recurrent abnormal bleeding, may be caused by any of the numerous conditions that affect the uterus. The definitive diagnosis in cases of uterine bleeding usually can be established by endometrial biopsy or fractional D&C [16].
\n
\n
\n
\n
6. Management
\n
When uterine fibroids become symptomatic, medical or surgical treatment is offered to the patient, depending on her age, symptoms and future fertility desires.
Medical therapy includes:
\n
Progestins: Progestational therapy using norethindrone, medrogestone, and medroxyprogesterone acetate has been successful. These compounds produce a hypo-estrogenic effect by inhibiting gonadotropin secretion and suppressing ovarian function [17]. A small randomised controlled trial presented weak evidence of a reduction in fibroid size among women receiving lynestrenol compared with women receiving leuprolide acetate [13].
25 mg mifepristone produces reduction in leiomyoma size and uterine volume and produces symptomatic improvement in women with fibroids [23].
Gonadotrophin Releasing Hormone (GnRH) agonists have proven very useful for limiting growth or temporarily decreasing uterine fribroid’s size. GnRH agonists induce hypogonadism through pituitary desensitisation, down-regulation of receptors, and inhibition of gonadotropins. They are however not suitable for long term use because they are associated with menopausal symptoms and bone loss but are likely to be beneficial preoperatively [24].
Oestrogen Receptors Modulators and Antagonists: Because co-administration of oestrogen with progesterone was essential for growth and maintenance, inhibition of oesytogen receptors should also be an effective treatment for Leiomyomas [22].
\n
Surgical therapies include:
\n
Myomectomy: There may be a beneficial effect of surgical resection of myomas to enhance fertility or successful pregnancy outcome [25]. It can be achieved using the following surgical procedures: open surgery, laparoscopy, robotic, transvaginal, and hysteroscopic surgery. The location and size of the myoma(s) dictates the specific surgical approach. Total abdominal myomectomy maintains fertility compared with hysterectomy but increases recovery time and postoperative pain compared with laparoscopic myomectomy [24]. However, there is high chance of recurrence with myomectomy, while hysterectomy is definitive. A rare complication of laparoscopic myomectomy is the occurrence of parasitic leiomyomas. They usually regress after menopause but in extremely rare cases they can calcify and present in a post-menopausal woman with atypical signs and symptoms [26].
Hysterectomy: It is the procedure of choice whenever surgery is indicated for leiomyomas and when childbearing has been completed. It should also be considered in the event of a rapidly enlarging fibroids, in which a reasonable likelihood of malignancy exists. Different types of hysterectomies exist: laparoscopically-assisted vaginal hysterectomy, total vaginal hysterectomy, total abdominal hysterectomy and total laparoscopic hysterectomy. Total abdominal hysterectomy is considered to be beneficial in reducing fibroid-related symptoms, but total vaginal hysterectomy and total laparoscopic hysterectomy may have lower risks of complications, and shorter recovery times [18]. In 2010 Demir RH and Marchand GJ published a case report in which they resected a huge uterus weighing 3200 g via laparoscopic-assisted hysterectomy, laparotomy can be avoided in almost all instances of hysterectomy for benign disease for an experienced laparoscopic surgeon [27].
Uterine artery embolization (UAE): It is the occlusion of the uterine artery, which reduces the blood supply to the uterus and ultimately to the uterine fibroids. There is evidence that uterine artery embolization patients are more likely to report greater improvements in symptoms, fewer complications and less additional interventions than myomectomy. Meanwhile, patients who undergo a myomectomy are more likely to have a conserved fertility [28, 29]. Complications of the technique include infections, complications of angiography and very rarely, uterine ischemia. However, there are no increased serious complications after UAE in patients with a large fibroid burden [30].
Laparoscopic occlusion of the uterine vessel: It consists of cauterising the uterine artery at laparoscopy, with or without concurrent myomectomy. Based on the study of Helal et al. in 2010, both laparoscopic occlusions of the uterine vessel and embolization improve symptoms associated with uterine fibroids [31]. The laparoscopic procedure resulted in less postoperative pain and nausea and shorter hospital stays, although significantly more participants experienced heavy menstrual bleeding six months after laparoscopic occlusion, indicating a more favourable effect after uterine leiomyoma embolization. Thus, laparoscopic uterine artery occlusion is likely to attract considerable interest as an effective alternative to hysterectomy treatment of symptomatic uterine leiomyomata.
MRI- guided focused ultrasound surgery. It was approved by the Food and Drug Administration (FDA) in October 2004 for the treatment of leiomyoma in premenopausal women who have completed childbearing. This outpatient procedure uses MRI for real-time thermal monitoring of the thermoablative technique, which concentrates multiple waves of ultrasound energy on a small volume of tissue to be destroyed [16]. Careful patient selection and use of pre-treatment imaging are important components for predicting the success of MR-guided focused ultrasound surgery of uterine leiomyomas [32]. Overall, there is reasonable tolerance, improvement in quality of life, and modest change in fibroid size. However, 11% of women experience worsened symptoms during more than a year of follow-up and 28% elect further treatment including myomectomy and hysterectomy [13].
\n\n
\n
\n
7. Uterine Fibroids and Pregnancy.
\n
The prevalence of leiomyomas in pregnancy varies between 10.7% to 16.7% [5, 33]. It’s higher in African American women followed by Caucasians, Hispanic and Asian women [33]. According to a study done by Hasan et al. in 2010, fibroids are part of the factors predictive of bleeding in the first trimester of pregnancy and are also potential important predictors of heavy menstrual bleeding heaviness [34]. This is due to the oedema, increased vascularity and hypertrophy of uterine muscles that lead to the increase in size of fibroids during pregnancy. However, Laughlin et al. in 2010 think there could be a direct protective effect of pregnancy on fibroids after delivery. In their study of 171 postpartum women, they found that 36% of fibroids resolved to an undetectable level and those that remain were reduced in diameter by a median of 0.5 cm [35].
\n
Generally, the effects of fibroids on pregnancy and labour are:
Spontaneous abortion, especially with sub-mucousal leiomyomas due to the distortion of the uterine cavity and impairment of the vascular supply to the implanted ovum [36].
Ectopic pregnancy if it interferes with the passage of the ovum.
Incarceration of a retroverted gravid uterus in case of posterior wall uterine fibroid.
Placenta praevia due to interference with implantation of the ovum in the upper uterine segment.
Malpresentations; in the study of Tchente et al. in 2008, breech presentation was two times more encountered in pregnant women with fibroids [15].
Abdominal discomfort if the tumour is large.
Torsion of the uterus which is very rare and is found in subserousal fundal myoma.
Premature or threatening premature delivery probably due to the stretching of the uterus by the fibroids or the liberation of prostaglandins and fever in red degeneration [15].
Prolonged labour due to inertia from interference with normal uterine contractions.
Obstructed labour in cervical myoma or pedunculated subserous myoma impacted in the pelvis.
Postpartum haemorrhage due to interference with sub involution of the uterus and increased vascularity.
Puerperal sepsis.
\n\n
The management of uterine fibroids in pregnancy depends on the signs and symptoms:
\n
In the majority of cases, no treatment is required. In case of pain, bed rest and narcotics are almost always successful [16]. Tocolytics may be necessary to control the uterine contractions in threatening premature labour. Myomectomy is generally contraindicated during pregnancy due to increased vascularity that may lead to haemorrhagic complications. However, laparoscopic myomectomy may be considered safe if done in early pregnancy but only in the hands of experienced laparoscopic surgeons [37]. Indications for it include red degeneration not responding to medical therapy, torsion of a pedunculated myoma or internal haemorrhage from rupture of a surface vein [36]. In case of obstructed labour, caesarean section is indicated but myomectomy is contraindicated. In the post-partum period, prophylactic antibodies should be given. Also, the women should be carefully observed for post-partum haemorrhage.
\n
\n
\n
8. Conclusion
\n
Uterine fibroids are the most frequent benign uterine tumours in females of reproductive age. Although benign in character they are associated with adverse outcomes such as miscarriages, aseptic necrobiosis, foetal mal-presentation, obstructed labour, premature births, caesarean sections, postpartum haemorrhage in pregnancy, and an altered menstrual cycle, heavy menstrual bleeding, infertility, constipation, urinary incontinence, and malignant transformation in non-pregnant women. Through this chapter the authors sought to contribute to the scarce evidence on its idiopathic pathophysiology and present all its available management options.
\n
\n\n',keywords:"uterine fibroid, leiomyoma, pathophysiology, management",chapterPDFUrl:"https://cdn.intechopen.com/pdfs/73825.pdf",chapterXML:"https://mts.intechopen.com/source/xml/73825.xml",downloadPdfUrl:"/chapter/pdf-download/73825",previewPdfUrl:"/chapter/pdf-preview/73825",totalDownloads:89,totalViews:0,totalCrossrefCites:0,dateSubmitted:"July 1st 2020",dateReviewed:"September 23rd 2020",datePrePublished:"December 8th 2020",datePublished:"March 24th 2021",dateFinished:"October 30th 2020",readingETA:"0",abstract:"Uterine fibroid is the most encountered benign tumour in women of reproductive age. It causes spontaneous abortions, missed abortions, painful red degeneration or infarction of the fibroids, abnormal foetal presentation, obstructed labour, and an increased likelihood of premature deliveries, caesarean deliveries, postpartum haemorrhage in pregnancy, whereas, in the non-pregnant women it is associated an irregular menstrual cycle sometimes associated with heavy menstrual bleeding, infertility, constipation, urinary incontinence, and leiosarcoma transformation. Till date is pathophysiology and management both in the non-pregnant and pregnant woman have not been well described. In this chapter, we present contemporary evidence to help elucidate this enigma.",reviewType:"peer-reviewed",bibtexUrl:"/chapter/bibtex/73825",risUrl:"/chapter/ris/73825",signatures:"Joel Noutakdie Tochie, Gaelle Therese Badjang, Gregory Ayissi and Julius Sama Dohbit",book:{id:"10485",title:"Fibroids",subtitle:null,fullTitle:"Fibroids",slug:"fibroids",publishedDate:"March 24th 2021",bookSignature:"Hassan Abduljabbar",coverURL:"https://cdn.intechopen.com/books/images_new/10485.jpg",licenceType:"CC BY 3.0",editedByType:"Edited by",isbn:"978-1-83962-996-9",printIsbn:"978-1-83962-995-2",pdfIsbn:"978-1-83968-011-3",editors:[{id:"68175",title:"Prof.",name:"Hassan",middleName:"S",surname:"Abduljabbar",slug:"hassan-abduljabbar",fullName:"Hassan Abduljabbar"}],productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"}},authors:[{id:"270799",title:"Dr.",name:"Julius",middleName:null,surname:"Dohbit Sama",fullName:"Julius Dohbit Sama",slug:"julius-dohbit-sama",email:"dohbit@yahoo.com",position:null,institution:null},{id:"326000",title:"Dr.",name:"Joel Noutakdie",middleName:null,surname:"Tochie",fullName:"Joel Noutakdie Tochie",slug:"joel-noutakdie-tochie",email:"joeltochie@gmail.com",position:null,institution:null},{id:"326072",title:"Dr.",name:"Gregory",middleName:null,surname:"Ayissi",fullName:"Gregory Ayissi",slug:"gregory-ayissi",email:"ayissigregory@yahoo.fr",position:null,institution:{name:"Catholic University of Cameroon",institutionURL:null,country:{name:"Cameroon"}}}],sections:[{id:"sec_1",title:"1. Introduction",level:"1"},{id:"sec_2",title:"2. Epidemiology",level:"1"},{id:"sec_3",title:"3. Anatomical Classification of Uterine Fibroids",level:"1"},{id:"sec_4",title:"4. Physiopathology of Uterine Fibroids",level:"1"},{id:"sec_5",title:"5. Diagnoses",level:"1"},{id:"sec_5_2",title:"5.1 Clinical features",level:"2"},{id:"sec_6_2",title:"5.2 Diagnostic tests",level:"2"},{id:"sec_8",title:"6. Management",level:"1"},{id:"sec_9",title:"7. Uterine Fibroids and Pregnancy.",level:"1"},{id:"sec_10",title:"8. Conclusion",level:"1"}],chapterReferences:[{id:"B1",body:'\nPernoll ML. Benson and Pernoll’s handbook of Obstetrics and Gynecology: Mc-Graw Hill Companies; 2001.\n'},{id:"B2",body:'\nStewart EA. Uterine fibroids. Lancet. 2001;357(9252):293-8.\n'},{id:"B3",body:'\nDohbit JS, Meka ENU, Tochie JN, Kamla I, Danwang C, Tianyi FL, Foumane P, Andze GO. Diagnostic ambiguity of aseptic necrobiosis of a uterine fibroid in a term pregnancy: a case report. BMC Pregnancy Childbirth. 2019 J;19(1):9.\n'},{id:"B4",body:'\nLee CJ, Miller, E.S. DEJA REVIEW Obstetrics and Gynaecology: McGraw-Hill Companies; 2008.\n'},{id:"B5",body:'\nEgbe TO, Badjang TG, Tchounzou R, Egbe E-N, Ngowe MN. Uterine fibroids in pregnancy: prevalence, clinical presentation, associated factors and outcomes at the Limbe and Buea Regional Hospitals, Cameroon: a cross-sectional study. BMC Res Notes 2018;11:889.\n'},{id:"B6",body:'\nHuyck KL, Panhuysen CI, Cuenco KT, Zhang J, Goldhammer H, Jones ES, et al. The impact of race as a risk factor for symptom severity and age at diagnosis of uterine leiomyomata among affected sisters. Am J Obstet Gynecol. 2008;198(2):168 e1-9.\n'},{id:"B7",body:'\nWise LA, Palmer JR, Stewart EA, Rosenberg L. Age-specific incidence rates for self-reported uterine leiomyomata in the Black Women’s Health Study. Obstet Gynecol. 2005 ;105(3):563-8.\n'},{id:"B8",body:'\nWise LA, Palmer JR, Spiegelman D, Harlow BL, Stewart EA, Adams-Campbell LL, et al. Influence of body size and body fat distribution on risk of uterine leiomyomata in U.S. black women. Epidemiology. 2005;16(3):346-54.\n'},{id:"B9",body:'\nFaerstein E, Chor D, Lopes Cde S. Reliability of the information about the history of diagnosis and treatment of hypertension. Differences in regard to sex, age, and educational level. The Pro-Saude study. Arq Bras Cardiol. 2001;76(4):301-4.\n'},{id:"B10",body:'\nTerry KL, De Vivo I, Hankinson SE, Missmer SA. Reproductive characteristics and risk of uterine leiomyomata. Fertil Steril. 2010;94(7):2703-7.\n'},{id:"B11",body:'\nAmanti L. S-BH, Abdollahi H., Ehdaeivand F. Uterine Leiomyoma and its association with menstrual pattern and history of progesterone acetate injections. International Journal of General Medicine. 2011;4:533-8.\n'},{id:"B12",body:'\nRoss RK, Pike MC, Vessey MP, Bull D, Yeates D, Casagrande JT. Risk factors for uterine fibroids: reduced risk associated with oral contraceptives. Br Med J (Clin Res Ed). 1986:9;293(6543):359-62.\n'},{id:"B13",body:'\nViswanathan M, Hartmann K, McKoy N, Stuart G, Rankins N, Thieda P, et al. Management of uterine fibroids: an update of the evidence. Evid Rep Technol Assess (Full Rep). 2007;(154):1-122.\n'},{id:"B14",body:'\nIndranil CA, Shyamaoada D. Vaginal leiomyoma. Journal of Mid-Life Health. 2011;2(1):42-3.\n'},{id:"B15",body:'\nTchente Nguefack C, Fogaing AD, Tejiokem MC, Nana Njotang P, Mbu R, Leke R. [Pregnancy outcome in a group of Cameroonian women with uterine fibroids]. J Gynecol Obstet Biol Reprod (Paris). 2009 ;38(6):493-9.\n'},{id:"B16",body:'\nDeCherney AHNL, Godwin TM, Laufer N, editor. Current diagnosis and treatments in Obstetrics and Gynaecology. Tenth ed: The Mc Graw-Hill Companies, Inc; 2007.\n'},{id:"B17",body:'\nFortner KBSLM, Fox HE, Wallach EE, editor. The Johns Hopkins Manual of Gynaecology and Obstetrics. Third ed: Lippincott Williams and Wilkins; 2007.\n'},{id:"B18",body:'\nHosseini H, Jacquemyn Y, Goossens K, Van Marck V. Atypical uterine leiomyoma: a rare variant of a common problem. BMJ Case Rep. 2009;2009.\n'},{id:"B19",body:'\nOkogbo FO, Ezechi OC, Loto OM, Ezeobi PM. Uterine Leiomyomata in South Western Nigeria: a clinical study of presentations and management outcome. Afr Health Sci. 2011;11(2):271-8.\n'},{id:"B20",body:'\nHart R. Unexplained infertility, endometriosis, and fibroids. BMJ. 2003;327(7417):721-4.\n'},{id:"B21",body:'\nDohbit JS, Meka E, Tochie JN, Kamla I, Mwadjie D, Foumane P. A case report of bicornis bicollis uterus with unilateral cervical atresia: an unusual aetiology of chronic debilitating pelvic pain in a Cameroonian teenager. BMC Womens Health 217;17(1):39.\n'},{id:"B22",body:'\nWilde S, Scott-Barrett S. Radiological appearances of uterine fibroids. Indian J Radiol Imaging. 2009;19(3):222-31.\n'},{id:"B23",body:'\nMukherjee S, Chakraborty S. A study evaluating the effect of mifepristone (RU-486) for the treatment of leiomyomata uteri. Niger Med J. 2011;52(3):150-2.\n'},{id:"B24",body:'\nLethaby AE, Vollenhoven BJ. Fibroids (uterine myomatosis, leiomyomas). Clin Evid (Online). 2007;2007.\n'},{id:"B25",body:'\nSinclair D, Gaither K, Mason TC. Fertility outcomes following myomectomy in an urban hospital setting. J Natl Med Assoc. 2005;97(10):1346-8.\n'},{id:"B26",body:'\nHwang JH, Modi GV, Jeong Oh M, Lee NW, Hur JY, Lee KW, et al. An unusual presentation of a severely calcified parasitic leiomyoma in a postmenopausal woman. JSLS. 2010;14(2):299-302.\n'},{id:"B27",body:'\nDemir RH, Marchand GJ. Safe laparoscopic removal of a 3200 gram fibroid uterus. JSLS. 2010;14(4):600-2.\n'},{id:"B28",body:'\nMara M, Maskova J, Fucikova Z, Kuzel D, Belsan T, Sosna O. Midterm clinical and first reproductive results of a randomized controlled trial comparing uterine fibroid embolization and myomectomy. Cardiovasc Intervent Radiol. 2008;31(1):73-85.\n'},{id:"B29",body:'\nNarayan A, Lee AS, Kuo GP, Powe N, Kim HS. Uterine artery embolization versus abdominal myomectomy: a long-term clinical outcome comparison. J Vasc Interv Radiol. 2010 ;21(7):1011-7.\n'},{id:"B30",body:'\nSmeets AJ, Nijenhuis RJ, Boekkooi PF, Vervest HA, van Rooij WJ, de Vries J, et al. Safety and effectiveness of uterine artery embolization in patients with pedunculated fibroids. J Vasc Interv Radiol. 2009;20(9):1172-5.\n'},{id:"B31",body:'\nHelal A, Mashaly Ael M, Amer T. Uterine artery occlusion for treatment of symptomatic uterine myomas. JSLS. 2010;14(3):386-90.\n'},{id:"B32",body:'\nLenard ZM, McDannold NJ, Fennessy FM, Stewart EA, Jolesz FA, Hynynen K, et al. Uterine leiomyomas: MR imaging-guided focused ultrasound surgery--imaging predictors of success. Radiology. 2008;249(1):187-94.\n'},{id:"B33",body:'\nLaughlin SK, Baird DD, Savitz DA, Herring AH, Hartmann KE. Prevalence of uterine leiomyomas in the first trimester of pregnancy: an ultrasound-screening study. Obstet Gynecol. 2009;113(3):630-5.\n'},{id:"B34",body:'\nHasan R, Baird DD, Herring AH, Olshan AF, Jonsson Funk ML, Hartmann KE. Patterns and predictors of vaginal bleeding in the first trimester of pregnancy. Ann Epidemiol. 2010;20(7):524-31.\n'},{id:"B35",body:'\nLaughlin SK, Schroeder JC, Baird DD. New directions in the epidemiology of uterine fibroids. Semin Reprod Med. 2010 ;28(3):204-17.\n'},{id:"B36",body:'\nEl-Mowafi DM. Obstetrics Simplified. El-Happy Land Square, El-Mansoura, Egypt: Burg Abu-Samr; 1997.\n'},{id:"B37",body:'\nArdovino M, Ardovino I, Castaldi MA, Monteverde A, Colacurci N, Cobellis L. Laparoscopic myomectomy of a subserous pedunculated fibroid at 14 weeks of pregnancy: a case report. J Med Case Rep. 2011;5(1):545.\n'}],footnotes:[],contributors:[{corresp:"yes",contributorFullName:"Joel Noutakdie Tochie",address:"joeltochie@gmail.com",affiliation:'
Department of Anesthesiology and Critical Care Medicine, Faculty of Medicine and Biomedical Sciences, University of Yaoundé I, Cameroon
Department of Obstetrics and Gynaecology, Faculty of Medicine and Biomedical Sciences, University of Yaoundé I, Cameroon
'},{corresp:null,contributorFullName:"Julius Sama Dohbit",address:null,affiliation:'
Department of Obstetrics and Gynaecology, Faculty of Medicine and Biomedical Sciences, University of Yaoundé I, Cameroon
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Publishing with IntechOpen means that your scientific publications already meet these basic requirements. It also means that through our utilization of open licensing, our publications are also able to be copied, shared, searched, linked, crawled, and mined for text and data, optimizing our authors' compliance as suggested by the European Commission.
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