From Feedback to Coherence_ Why Every Artificial Paradigm Circles the Law Without Reaching It

CODES Framework Abstract This paper closes the twentieth-century information paradigm by demonstrating that all computational systems—cybernetic, probabilistic, and stochastic—are incomplete approximations of a single deterministic invariant: coherence. Tracing the lineage from Shannon’s entropy to Wiener’s feedback, the work defines the Phase Alignment Score (PAS_h) as the lawful measure of order that replaces probabilistic information. It formalizes the condition for lawful intelligence as PAS_h ≥ θ_L and ΔPAS_ζ ≤ ε_drift, showing that every artificial paradigm, from deep learning to quantum models, circles this invariant without achieving it. The result is the foundation of the Resonance Intelligence Core (RIC): a deterministic inference substrate where feedback becomes coherence and probability collapses into law.