RIEMANN-Hypothesis STATISTICAL and SOLID-STATE CRYSTAL-LATTICE PHYSICS Floquet-Theory-Bloch-Brllouin OBSERVATIONS/ . . ./ INSPIRATIONS as to a COLLABORATIVE Eventual Formerly Hoped For “Pure”-Mathematics” Proof “BOSON-ICS”!!!; Renormalization-(SEMI)-Group Analytics of (Analytic/Computational)-Number-(#)-

(6) PARITY-non-Invariance of UBIQUITOUS: Mobius-function, Dirichlet-character, Legendre-characteristic, von Mangoldt-function, Mertens-conjecture . . . with Siegel[Montgomery#-Thy. Seminar/U of M(1973); Phys./ChemLiquids: (1975))1976]-Montgomery-Dyson “mysterious” generic quantum ground-state hv=hw=1/2 critical-line non-trivial zeros-distribution and prime-number counting-function pair-distribution functionS; (7) Noether-Theorem Proof of Euclid NON-Existence of a Primes-Vacuum: all-pervasive Mobius-function stochastic-quasi-randomness/sporadicity jumping between +1(fermions) via 0 Noether’s-theorum to this Mobious-function PARITY-INVARIANCE SYMMETRY-BREAKING! Cavalier application of (ONLY ALONG REALS-axis)-CURRENT DIVERGENCE/NON-conservation NON-law. Ergo NO PRIMES-Vacuum NON-existence!: (8) UBIQUITOUS all-pervasive Mobius-function stochastic-quasi-randomness/sporadicity jumping between +1(fermions) via 0 to -1(bosons) exhibits PARITY-INVARIANCE SYMMETRY-BREAKIN SHOULD TERM-BY-TERM, trace out PRIMES SCAFFOLDING of/in PRIME-NUMBER DISTRIBUTE - ION-function of prime number theorem!; (9) Holthaus(04) numbers-factorization by/via Bose-Einstein condensatE(BEC); (10)Matsubara/Siegel Phase-Transitions Critical-Phenomenon Sequence: