Mathematical Physics


A Theory of Everything from Pure Reason

Authors: Alexandre Harvey-Tremblay

In this work, I present a formal construction of the axiomless position. This construction ultimately leads to the theory of everything in physics (ToE). The purpose of this paper is to first derive the ToE from the axiomless position, then to derive sufficient physics from it so as to convince the skeptical reader of the validity of the methodology. Part I is the axiomless derivation of the ToE. From this derivation I obtain, in part II, a master equation formulated as a Gibb's ensemble and relating the algorithmic notions of program-observables to that of entropy. Part III is the derivation of physical laws so as to provide evidence that it is the ToE. I recover, in an axiomless manner, the exact mathematical formulation of the major theories of physics; including statistical mechanics, quantum mechanics (QM), special and general relativity (GR). These equations are derived entirely from pure reason with no appeal to physical observations. Deriving both QM and GR as necessary consequences and limiting cases of this equation is suggestive of unification.

Comments: 74 Pages.

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Submission history

[v1] 2017-05-18 09:56:01
[v2] 2017-05-18 12:57:31
[v3] 2017-05-23 14:09:54
[v4] 2017-05-26 07:05:40
[v5] 2017-07-11 20:36:09
[v6] 2017-07-12 07:20:57
[v7] 2017-07-21 13:53:03
[v8] 2017-07-22 05:29:56
[v9] 2017-07-23 13:00:22
[vA] 2017-07-24 06:58:20
[vB] 2017-07-25 12:50:01
[vC] 2017-07-25 19:07:22
[vD] 2017-07-26 07:05:11
[vE] 2017-07-26 08:04:32

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