Compression of Entropy_ How Structure Emerges in Far-From-Equilibrium Systems — and Why Deterministic Computing Depends on It

CODES Framework Abstract This paper formalizes how order emerges from entropy through deterministic phase alignment. It defines entropy compression as a lawful process of structural resonance, using the Phase Alignment Score (PAS_s, PAS_h) to quantify coherence in far-from-equilibrium systems. Gauss’s prime density, reaction–diffusion spirals, and bioelectric morphogenesis illustrate natural entropy-compression mechanisms, while deterministic computing (Resonance Intelligence Core) extends the same invariant logic into inference and verification. Entropy is reframed as a coordinate field revealing where lawful structure must form.