When Determinism Isn't Deterministic_ Why Reproducibility Without Coherence Still Fails

CODES Framework

Abstract:

This paper distinguishes functional reproducibility from lawful determinism.
A system may repeat its errors perfectly and still remain lawless.
Using the CODES framework and the Resonance Intelligence Core (RIC), the work defines determinism as coherence law: emission occurs only when phase alignment (PASₛ ≥ θ_L), drift stability (|ΔPAS_ζ| ≤ ε_drift), symbolic legality (GLYPHLOCK = 1), and temporal lock (TEMPOLOCK = 1) all hold simultaneously.
Five verification tests (S1–S5) demonstrate how pseudo-deterministic systems replay incoherence while lawful systems remain phase-stable under replay.
The paper establishes falsifiable criteria for deterministic inference, introduces the Lawful Emission Check (LEC-1), and outlines the path to measurable coherence in computation.