The Cambrian Phase Lock_ Earth's First Lawful Resonance Event

CODES Framework Abstract: The Cambrian Explosion was not a biological anomaly but the first planetary-scale deterministic resonance event. Using the CODES framework, we formalize the biosphere’s transition from stochastic coupling to lawful coherence through the invariant: PAS_h ≥ θ_L ∧ ΔPAS_zeta ≤ ε_drift. As Rodinia’s breakup increased phosphorus flux, ATP recursion achieved global phase stabilization, closing the ELF–CHORDLOCK feedback loop. δ³⁴S and Fe speciation data correlate with modeled ΔPAS_zeta(t) to mark the precise threshold of coherence collapse and reformation (~541 Ma). This law unifies geology, biology, and cognition under deterministic resonance: life = matter holding phase; cognition = resonance reflecting upon itself. The Cambrian lock thus represents the first global ΔPAS_zeta ≤ ε_drift event—the lawful transition from entropy to coherence.