Physics as the Solution to an Optimization Problem on  Entropy

Alexandre Harvey-Tremblay

doi:10.20944/preprints202404.1009.v5

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preprints.org > physical sciences > quantum science and technology > doi: 10.20944/preprints202404.1009.v5 (registering DOI)

Preprint Article Version 5 This version is not peer-reviewed

Physics as the Solution to an Optimization Problem on Entropy

Alexandre Harvey-Tremblay

Version 1 : Received: 14 April 2024 / Approved: 15 April 2024 / Online: 16 April 2024 (11:04:35 CEST)
Version 2 : Received: 29 April 2024 / Approved: 30 April 2024 / Online: 2 May 2024 (08:01:08 CEST)
Version 3 : Received: 3 May 2024 / Approved: 6 May 2024 / Online: 6 May 2024 (07:26:30 CEST)
Version 4 : Received: 21 June 2024 / Approved: 24 June 2024 / Online: 25 June 2024 (00:21:32 CEST)
Version 5 : Received: 16 July 2024 / Approved: 17 July 2024 / Online: 17 July 2024 (12:44:35 CEST)

How to cite: Harvey-Tremblay, A. Physics as the Solution to an Optimization Problem on Entropy. Preprints 2024, 2024041009. https://doi.org/10.20944/preprints202404.1009.v5 Harvey-Tremblay, A. Physics as the Solution to an Optimization Problem on Entropy. Preprints 2024, 2024041009. https://doi.org/10.20944/preprints202404.1009.v5

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MDPI and ACS Style

Harvey-Tremblay, A. Physics as the Solution to an Optimization Problem on Entropy. Preprints 2024, 2024041009. https://doi.org/10.20944/preprints202404.1009.v5

APA Style

Harvey-Tremblay, A. (2024). Physics as the Solution to an Optimization Problem on Entropy. Preprints. https://doi.org/10.20944/preprints202404.1009.v5

Chicago/Turabian Style

Harvey-Tremblay, A. 2024 "Physics as the Solution to an Optimization Problem on Entropy" Preprints. https://doi.org/10.20944/preprints202404.1009.v5

Abstract

We propose a novel approach to quantum theory construction that involves solving a maximization problem on the Shannon entropy of all possible measurements of a system, relative to its initial preparation. This maximization problem is additionally constrained by a phase condition that vanishes under measurements. Specifically, enforcing a vanishing U(1)-valued phase constraint leads to standard quantum mechanics, while a vanishing Spin^c(3,1)-valued phase constraint extends the theory to relativistic quantum mechanics and to quantum gravity. The latter scenario derives the metric tensor as an operator via a double-copy mechanism applied to the Dirac current. Significantly, this solution is consistent exclusively in 3+1-dimensions as all other dimensional configurations lead to fundamental obstructions. Finally, the solution uniquely incorporates the SU(3)xSU(2)xU(1) symmetries of the Standard Model. This framework seamlessly integrates fundamental concepts from quantum mechanics, relativistic quantum mechanics, quantum gravity, the dimensional specificity of spacetime, and particle physics gauge symmetries as the solution to a simple entropy optimization problem.

Keywords

foundations of quantum physics

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.

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