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Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe

Following Smolin, we proceed to unification of general relativity and quantum theory by operating solely with events, i.e., without appealing to physical systems and space-time. The universe is modelled as a dendrogram (finite tree) expressing the hierarchic relations between events. This is the obs...

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Autores principales: Shor, Oded, Benninger, Felix, Khrennikov, Andrei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8871236/
https://www.ncbi.nlm.nih.gov/pubmed/35205476
http://dx.doi.org/10.3390/e24020181
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author Shor, Oded
Benninger, Felix
Khrennikov, Andrei
author_facet Shor, Oded
Benninger, Felix
Khrennikov, Andrei
author_sort Shor, Oded
collection PubMed
description Following Smolin, we proceed to unification of general relativity and quantum theory by operating solely with events, i.e., without appealing to physical systems and space-time. The universe is modelled as a dendrogram (finite tree) expressing the hierarchic relations between events. This is the observational (epistemic) model; the ontic model is based on p-adic numbers (infinite trees). Hence, we use novel mathematics: not only space-time but even real numbers are not in use. Here, the p-adic space (which is zero-dimensional) serves as the base for the holographic image of the universe. In this way our theory is connected with p-adic physics; in particular, p-adic string theory and complex disordered systems (p-adic representation of the Parisi matrix for spin glasses). Our Dendrogramic-Holographic (DH) theory matches perfectly with the Mach’s principle and Brans–Dicke theory. We found a surprising informational interrelation between the fundamental constants, h, c, G, and their DH analogues, h(D), c(D), G(D). DH theory is part of Wheeler’s project on the information restructuring of physics. It is also a step towards the Unified Field theory. The universal potential V is nonlocal, but this is relational DH nonlocality. V can be coupled to the Bohm quantum potential by moving to the real representation. This coupling enhances the role of the Bohm potential.
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spelling pubmed-88712362022-02-25 Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe Shor, Oded Benninger, Felix Khrennikov, Andrei Entropy (Basel) Concept Paper Following Smolin, we proceed to unification of general relativity and quantum theory by operating solely with events, i.e., without appealing to physical systems and space-time. The universe is modelled as a dendrogram (finite tree) expressing the hierarchic relations between events. This is the observational (epistemic) model; the ontic model is based on p-adic numbers (infinite trees). Hence, we use novel mathematics: not only space-time but even real numbers are not in use. Here, the p-adic space (which is zero-dimensional) serves as the base for the holographic image of the universe. In this way our theory is connected with p-adic physics; in particular, p-adic string theory and complex disordered systems (p-adic representation of the Parisi matrix for spin glasses). Our Dendrogramic-Holographic (DH) theory matches perfectly with the Mach’s principle and Brans–Dicke theory. We found a surprising informational interrelation between the fundamental constants, h, c, G, and their DH analogues, h(D), c(D), G(D). DH theory is part of Wheeler’s project on the information restructuring of physics. It is also a step towards the Unified Field theory. The universal potential V is nonlocal, but this is relational DH nonlocality. V can be coupled to the Bohm quantum potential by moving to the real representation. This coupling enhances the role of the Bohm potential. MDPI 2022-01-25 /pmc/articles/PMC8871236/ /pubmed/35205476 http://dx.doi.org/10.3390/e24020181 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Concept Paper
Shor, Oded
Benninger, Felix
Khrennikov, Andrei
Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe
title Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe
title_full Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe
title_fullStr Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe
title_full_unstemmed Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe
title_short Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe
title_sort towards unification of general relativity and quantum theory: dendrogram representation of the event-universe
topic Concept Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8871236/
https://www.ncbi.nlm.nih.gov/pubmed/35205476
http://dx.doi.org/10.3390/e24020181
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