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 a candidate for the theory of everything in physics (ToE). Part I is the axiomless derivation of the ToE-candidate. 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 thesis that this master equation is indeed a credible ToE-candiate. To convince you of that, I recover, again 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 from this equation is considered strong evidence that they are unified in it. Using this unification, we also propose a quantum mechanical description of black holes, and derive laws specific to it.

Comments: 72 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

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