**Authors:** F. M. Sanchez

A la mémoire de Michael Atiyah... The observed fine tuning between Physical dimensionless parameters is interpreted as relations between optimal calculation basis of a Deterministic Grandcosmos Computer. The Large Period is given by the conjunction of two mandatory c-free dimensional analysis (CFDA), corresponding to the holic dimension 30 of the Topological axis f(n) = exp(2^(n/4)), with the Compton Electron wavelength as unit length. The Cartan-Bott period 8 define the gauge bosons : GUT (n = 22), Weak (n = 14), and Gluon (n = 6) with a non-standard mass about 10 me. The visible Universe horizon radius R is given both by ADHC, Eddington's statistical theory, and the gravitational Hydrogen molecule model. R is tied to the dimension 26 of Bosonic Tachyonic String Theory, corresponding to the cosmic photon (n = 18), the Atom and Pion (n = 10, canonic Supersting dimension) and the String (n = 2). The Atiyah constant Gamma = gamma a/p c, where a = 137.035991... is the electrical constant, corresponds to the virtual dimension √(a/3) and enters ppb (10^-9) relations which confirm Superstring Theory, implying the weak interaction and intermediate bosons, the gravitation and the fermions mu and tau. The Brout – Englert – Higgs scalar boson is tied both to the type 1 string gauge dimension 496 and the virtual dimension gamma x Gamma. This third perfect number 496 plays a central role in a Geo-combinatorial Relation tying the four coupling constants. The terminal fermion tau is related (10^-7) to the Moonshine dimension D =196883 of the Monster. The ACDFA gives also the CMB temperature. tied to a double holographic relation 1D-2D-3D. This correspond to the mandatory replacement, in a Single Cosmos, of differential equations by integral ones. The Eddington's Large Number enters a Machian relation implying the trivial fraction 3/10 of the critical Universe mass and main particle masses, showing that back energy is a false problem. In a Cosmos with ultra-plankian reconstruction mater-antimater, black matter would be in phase quadrature. The ACDA relies also three unexplained facts: Kotov, Tifft and Pioneer, probably tied to the tachyonic Space-Time-Matter regeneration. The Large Period is tied to the Kotov one by the cardinal order of the Monster, which presents, as well as the canonic f(30) and the holographic Grandcosmos radius impressive relations with free parameters of the standard Model. It is suggested that 26 of them could be defined by the 26 sporadic groups. In particular, this unification Physics-Mathematics justifies the Inverse Anthropic Principle and excludes the non-scientific Multiverse hypothesis. It is concluded that present mathematics is incomplete, not recognizing physical parameters as mathematical ones. This could lead to a super-informatics.

**Comments:** 24 Pages. absract, introduction and conclusion in French

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