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)
Version 6
: Received: 1 October 2024 / Approved: 1 October 2024 / Online: 1 October 2024 (16:54:21 CEST)
Version 7
: Received: 29 October 2024 / Approved: 29 October 2024 / Online: 30 October 2024 (10:40:06 CET)
Version 8
: Received: 5 November 2024 / Approved: 6 November 2024 / Online: 7 November 2024 (11:16:46 CET)
How to cite:
Harvey-Tremblay, A. Unifying Fundamental Physics through Entropy Maximization under a Universal Measurement Constraint. Preprints2024, 2024041009. https://doi.org/10.20944/preprints202404.1009.v8
Harvey-Tremblay, A. Unifying Fundamental Physics through Entropy Maximization under a Universal Measurement Constraint. Preprints 2024, 2024041009. https://doi.org/10.20944/preprints202404.1009.v8
Harvey-Tremblay, A. Unifying Fundamental Physics through Entropy Maximization under a Universal Measurement Constraint. Preprints2024, 2024041009. https://doi.org/10.20944/preprints202404.1009.v8
APA Style
Harvey-Tremblay, A. (2024). Unifying Fundamental Physics through Entropy Maximization under a Universal Measurement Constraint. Preprints. https://doi.org/10.20944/preprints202404.1009.v8
Chicago/Turabian Style
Harvey-Tremblay, A. 2024 "Unifying Fundamental Physics through Entropy Maximization under a Universal Measurement Constraint" Preprints. https://doi.org/10.20944/preprints202404.1009.v8
Abstract
We present a unification of fundamental physical laws from a single principle: maximizing the Shannon entropy of all possible measurements relative to a system's initial state, under a universal measurement constraint. By solving this entropy maximization problem, we find that the most sophisticated solution involves 3+1-dimensional measurements encompassing both bivectors and complex numbers. This solution describes a relativistic quantum theory that naturally yields the metric tensor of general relativity via a double-copy mechanism applied to the Dirac current. Moreover, it inherently incorporates the SU(3)xSU(2)xU(1) gauge symmetries of the Standard Model. These findings expose deep connections between information theory and the mathematical structures underpinning fundamental physics, providing new insights into the emergence of 3+1 spacetime dimensions, gravity, and the fundamental symmetries of our universe.
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.
