Mathematical Physics


On an Entropic Universal Turing Machine Isomorphic to Physics (draft)

Authors: Alexandre Harvey-Tremblay

According to the second law of thermodynamics, a physical system will tend to increase its entropy over time. In this paper, I investigate a universal Turing machine (UTM) running multiple programs in parallel according to a scheduler. I found that if, over the course of the computation, the scheduler adjusts the work done on programs so as to maximize the entropy in the calculation of the halting probability Ω, the system will follow the laws of physics. Specifically, I show that the computation will obey algorithmic information theory (AIT) analogues to general relativity, entropic dark energy, the Schrödinger equation, a maximum computation speed analogous to the speed of light, the Lorentz's transformation, light cone, the Dirac equation for relativistic quantum mechanics, spins, polarization, etc. As the universe follows the second law of thermodynamics, these results would seem to suggest an affinity between an "entropic UTM" and the laws of physics.

Comments: 39 Pages.

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Submission history

[v1] 2017-08-13 20:34:15
[v2] 2017-08-14 09:19:09
[v3] 2017-08-16 20:22:20
[v4] 2017-09-09 17:23:30

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