Prime-Number Distribution-Function Primes Scaffolding Analogy to Stellar/Planetary Cross-Sections and Galaxies-Superclusters Web

Quantum/Digits-Space Time:Reflection/Symmetry Duel Double(log:digits=dimensions=bosons-exp:inflation)-cusp catastrophe. Prime number distribution function pi(X)argument inversion to pi(1/X) identifies via Floquet-Bloch-Brillouin[Wave Propagation in Periodic Structures(45)]stop-band localizing primes VS. composites itineracy whose Holthaus[Physica A 341,586(04)]BEC factorization into primes resembles Fermi contact-repulsion. Euclid proof of infinity of primes starting at 2 one sees non-sharp order-disorder phase-transitions from crystal (2,3) to glass (3,5,7,11,13,17) to liquid to gas but never to vacuum due to Euclid proof of infinity of primes. Striking is the analogy of this prime scaffolding caused by stop-band localization, explained generically by Siegel[J.NonXl.-Solids 40,453(80)], to both stellar and planetary structure cross-sections and to galaxies-superclusters web.Fundamental theorem of algebra every-natural number is a product of primes resembles many-body boson gas wave function. Furthering Schumeyer-Hutchinson[Rev. Mod. and Phys. 83:307(11)] very convincing Riemann-hypothesis physics, critical-strip concentration of Reimanns data-function on critical-line Re+1/2 is inevitable dimensionless quantum 1/2 hv.