Two mandatory triplets of universal constants gives about the same time 5.53 × 10^57 s, corresponding to a crucial lacking point in the Topological Axis : a Cosmic Boson completing the Cartan-Bott series. This time is, apart a factor √2, the Kotov quasar non-Doppler periodicity 9600.61(6) s multiplied by the Monster group order. Entire powers of the later are also identified in canonical ratios of Coherent Cosmology, where the above time appears as the Cosmic Period. The Eddington Statistical approach, considered as the third pillar of physics, rejoins the Feynman cosmic sweeping of a single electron, at last explaining non-parity and confirming the Topological Axis, which rehabilitates tachyonic bosonic string theory. New space and time quanta explain at last the 10^122 vacuum-energy discrepancy. The consideration of canonic economic numbers leads to the discovery that the Monster order is very close to the seventh power of the pariah group J3 order and the 10th power of the mass ratio BEH scalar boson/electron, whose square root is very close to the third perfect number 496, central in string theory. A direct connexion is found between the Monster group and the first Mathieu one, which confirms the Coherent Cosmology value G ≈ 6.67544 × 10^-11 kg^-1m^3s^-2, compatible with the BIPM measurement, but distinct from the tabulated value (4 sigma). The product of orders of the whole “happy family” is very close to a^a, connected with the monster order and basic number theory, implying a ≈ 137.036 to be an optimal calculation basis in a matter-antimatter blinking Cosmos. Implications on Biology and the International System of Units are also discussed.
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