RATISS V10 AEON PRIME: A Physical Complexity Audit Framework Demonstrating the Physical Impossibility of P = NP

This repository presents the RATISS V10 AEON PRIME ecosystem, a physical complexity audit framework that demonstrates the impossibility of a universal exact solver for NP-complete problems within the physical bounds of our universe. The framework maps computational complexity to five fundamental physical principles (Margolus-Levitin theorem, Landauer's principle, Zurek's quantum decoherence, Bekenstein bound, and Special Relativity causality) and introduces the Réalisabilité Physique du Solveur (RPS) — a universal physical "bouncer" that validates any solver against these bounds. We propose three physically grounded challenges as replacements for the classical Clay Mathematics Institute P vs NP formulation: (1) UPCF — Unification Polynomiale à Cohérence Finie, a polynomial O(K³) coordination challenge for 500 agents on 200,000 correlated spins; (2) CEOE — Coût Entropique de l'Optimalité Exacte, demonstrating exponential divergence of energy cost between exact and (1+ε) approximate solvers; (3) RPS — Réalisabilité Physique du Solveur, a universal hardware validation filter. Experimental results confirm: the UPCF solver achieves 0.38% error in 1.254 seconds using 81.51 Joules; the CEOE solver confirms R² = 0.99976 exponential growth with a critical threshold at n = 80; the RPS auditor correctly filters 5 canonical solver profiles with zero false positives and zero false negatives. This work provides a physically grounded, empirically verifiable alternative to the abstract P vs NP question.