Version 1
: Received: 8 October 2021 / Approved: 12 October 2021 / Online: 12 October 2021 (11:35:03 CEST)
How to cite:
Khrennikov, A.; Shor, O.; Felix, B. Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe. Preprints2021, 2021100176. https://doi.org/10.20944/preprints202110.0176.v1
Khrennikov, A.; Shor, O.; Felix, B. Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe. Preprints 2021, 2021100176. https://doi.org/10.20944/preprints202110.0176.v1
Khrennikov, A.; Shor, O.; Felix, B. Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe. Preprints2021, 2021100176. https://doi.org/10.20944/preprints202110.0176.v1
APA Style
Khrennikov, A., Shor, O., & Felix, B. (2021). Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe. Preprints. https://doi.org/10.20944/preprints202110.0176.v1
Chicago/Turabian Style
Khrennikov, A., Oded Shor and Benninger Felix. 2021 "Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe" Preprints. https://doi.org/10.20944/preprints202110.0176.v1
Abstract
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 relates to p-adic physics; in particular, p-adic string theory and complex disordered systems (p-adic representation of Parisi matrix for spin glasses). Our Dendrogramic-Holographic (DH) theory matches perfectly with the Mach’s principle and Brans-Dicke theory. We found 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 enhanced the role of the Bohm potential.
Keywords
unification of general relativity and quantum theory; dendrogram; hierarchic relations between events; p-adic numbers; holographic image; Mach’s principle; Brans-Dicke theory; Bohm quantum potential; Unified Field theory
Subject
Physical Sciences, Quantum Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received:
6 February 2023
Commenter:
Lev Verkhovsky
The commenter has declared there is no conflict of interests.
Comment:
SRT is completely erroneous since it is based on the wrong kind of transformations: they have lost the scale factor characterizing the Doppler effect (which defines the asymmetry between approach and removal).
First, Lorentz considered a more general form of transformations (with a scale factor), but then he, and also Poincare and Einstein equated it 1 without proper grounds. Their form was artificially narrowed, the formulas became incorrect. This led to a logical contradiction of the theory, to unsolvable paradoxes.
Accordingly, GRT is also incorrect.
For more details, see my brochure "Memoir on the Theory of Relativity and Unified Field Theory" (2000): https://www.researchgate.net/publication/339090652_Memoir_on_the_Theory_of_Relativity_and_Unified_Field_Theory
I want to draw your attention to the fact that Newton's potential is wrong -- Gerber's potential is correct (this solves the problem of Mercury).
See also my article https://www.researchgate.net/publication/339252911_The_True_Geometry_of_Nature_Hypothesis
Commenter: Lev Verkhovsky
The commenter has declared there is no conflict of interests.
First, Lorentz considered a more general form of transformations (with a scale factor), but then he, and also Poincare and Einstein equated it 1 without proper grounds. Their form was artificially narrowed, the formulas became incorrect. This led to a logical contradiction of the theory, to unsolvable paradoxes.
Accordingly, GRT is also incorrect.
For more details, see my brochure "Memoir on the Theory of Relativity and Unified Field Theory" (2000):
https://www.researchgate.net/publication/339090652_Memoir_on_the_Theory_of_Relativity_and_Unified_Field_Theory
I want to draw your attention to the fact that Newton's potential is wrong -- Gerber's potential is correct (this solves the problem of Mercury).
See also my article https://www.researchgate.net/publication/339252911_The_True_Geometry_of_Nature_Hypothesis