Version 1
: Received: 31 March 2021 / Approved: 1 April 2021 / Online: 1 April 2021 (14:50:38 CEST)
How to cite:
Khrennikov, A.; Shor, O.; Benninger, F. Representation of the Universe as a Dendrogramic Hologram Endowed With Relational Interpretation. Preprints2021, 2021040029. https://doi.org/10.20944/preprints202104.0029.v1
Khrennikov, A.; Shor, O.; Benninger, F. Representation of the Universe as a Dendrogramic Hologram Endowed With Relational Interpretation. Preprints 2021, 2021040029. https://doi.org/10.20944/preprints202104.0029.v1
Khrennikov, A.; Shor, O.; Benninger, F. Representation of the Universe as a Dendrogramic Hologram Endowed With Relational Interpretation. Preprints2021, 2021040029. https://doi.org/10.20944/preprints202104.0029.v1
APA Style
Khrennikov, A., Shor, O., & Benninger, F. (2021). Representation of the Universe as a Dendrogramic Hologram Endowed With Relational Interpretation. Preprints. https://doi.org/10.20944/preprints202104.0029.v1
Chicago/Turabian Style
Khrennikov, A., Oded Shor and Felix Benninger. 2021 "Representation of the Universe as a Dendrogramic Hologram Endowed With Relational Interpretation" Preprints. https://doi.org/10.20944/preprints202104.0029.v1
Abstract
proposal for a fundamental theory is described in which classical and quantum physics as a representation of the universe as a gigantic dendrogram are unified. The latter is the explicate order structure corresponding to the purely number-theoretical implicate order structure given by p-adic numbers. This number field was zero-dimensional, totally disconnected, and disordered. Physical systems (such as electrons, photons) are sub-dendrograms of the universal dendrogram. Measurement process is described as interactions among dendrograms; in particular, quantum measurement problems can be resolved using this process. The theory is realistic, but realism is expressed via the the Leibnitz principle of the Identity of Indiscernible. The classical-quantum interplay is based on the degree of indistinguishability between dendrograms (in which the ergodicity assumption is removed). Depending on this degree, some physical quantities behave more or less in a quantum manner (versus classic manner). Ideologically, our theory is very close to Smolin’s dynamics of difference and Rovelli’s relational quantum mechanics. The presence of classical behavior in nature implies a finiteness of the Universe-dendrogram. (Infinite Universe is considered to be purely quantum.) Reconstruction of events in a four-dimensional space type is based on the holographic principle. Our model reproduces Bell-type correlations in the dendrogramic framework. By adjusting dendrogram complexity, violation of the Bell inequality can be made larger or smaller.
Keywords
fundamental physical theory; classical and quantum physics; p-adic numbers; disordered field; zero dimensional space; hologram; dendrogram; Planck conatnt; light velocity; Berll correlations
Subject
Physical Sciences, Acoustics
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.
