Mathematical Physics

    

Diophantine Physics

Authors: F.M. Sanchez, C. Bizouard, M. Grosmann, V. Kotov

Viewing the Kepler's laws as Diophantine non-local equations introduces the action quantum and the Diophantine Coherence Theorem which generalizes the method of Arthur Haas, which anticipated the Bohr's radius. This leads to a Space quantum breaking the Planck wall by a factor 10^{61} and the associated Holographic Cosmos, identified as the source of the Background Radiation. An Electricity-Gravitation symmetry, connected with the Combinatorial Hierarchy, defines the steady-state Universe with invariant Hubble radius 13.81 Glyr, corresponding to 70.79 (km/s)/Mpc, a value anticipated since 1997 by the Three Minutes Formula, confirmed by the Eddington Number, the Kotov period and the recent Carnegie-Chicago Hubble Program. This specifies G, compatible with the BIPM measurements, and confirms definitely the Anthropic Principle.

Comments: English 9 pages ; French: 22 pages.

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Submission history

[v1] 2022-02-21 20:26:17
[v2] 2022-02-24 19:30:13
[v3] 2022-03-07 19:28:31
[v4] 2022-03-22 16:05:21
[v5] 2022-04-05 01:15:00

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