Structured Resonance Dynamics_ The Deterministic Law of Coherence

CODES Framework Description This work establishes the universal deterministic law of coherence underlying all stable systems—physical, biological, and cognitive. The core relation PAS_h ≥ θ_L ∧ ΔPAS_zeta ≤ ε_drift defines persistence as sustained phase alignment within bounded drift. Probability and entropy emerge as coarse-grained representations of lost phase information. Structured Resonance Dynamics (SRD) formalizes coherence as the primary invariant of reality, replacing statistical inference with lawful phase alignment. The framework integrates: Prime-indexed harmonic structure (Chiral Prime Lattice) Measurement bridge linking PAS variables to energy, mass, and information Scaling laws ensuring invariance from quantum to cosmological domains The Chiral Vessel Theorem explaining why life and matter maintain asymmetry Deterministic computational verification via RIC (Q32 fixed-point substrate) All constants and apparatus are empirically calibrated (ε_drift ≈ 10⁻⁶ PAS units). This paper completes the mathematical and empirical closure of the CODES framework, uniting physics, biology, and cognition under a single coherence law.