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How to cite:
Harvey-Tremblay, A. Physics as the Solution to an Optimization Problem on Entropy. Preprints2024, 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
Harvey-Tremblay, A. Physics as the Solution to an Optimization Problem on Entropy. Preprints2024, 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.
