TITLE:
Towards Science Unification through Number Theory
AUTHORS:
F. M. Sanchez, M. H. Grosmann, R. Veysseyre, H. Veysseyre, D. Weigel
KEYWORDS:
Number theory, Optimal Computation Principle, Holic Principle, Cosmology, Supersymmetry, String Theory, Bit-String Physics, Cellular Automaton, DNA nucleotides, Crystallography, Sporadic Groups
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.11 No.1,
January
25,
2021
ABSTRACT: The Number Theory comes back as the heart of unified Science, in a Computing Cosmos using the bases 2;3;5;7 whose two symmetric combinations explain the main lepton mass ratios. The corresponding Holic Principle induces a symmetry between the Newton and Planck constants which confirm the Permanent Sweeping Holography Bang Cosmology, with invariant baryon density 3/10, the dark baryons being dephased matter-antimatter oscillation. This implies the DNA bi-codon mean isotopic mass, confirming to 0.1 ppm the electron-based Topological Axis, whose terminal boson is the base 2 c-observable Universe in the base 3 Cosmos. The physical parameters involve the Euler idoneal numbers and the special Fermat primes of Wieferich (bases 2) and Mirimanoff (base 3). The prime numbers and crystallographic symmetries are related to the 4-fold structure of the DNA bi-codon. The forgotten Eddington’s proton-tau symmetry is rehabilitated, renewing the supersymmetry quest. This excludes the concepts of Multiverse, Continuum, Infinity, Locality and Zero-mass Particle, leading to stringent predictions in Cosmology, Particle Physics and Biology.