The Mathematics of CODES: Prime-Driven Resonance, Nonlinear Phase-Locking, and the Topology of Emergent Systems

Supersession Note — April 30, 2026 This CODES-era work is an exploratory predecessor and is no longer the canonical statement of the author’s program. It has been superseded by the identity-persistence stack: Universal Identity and Persistence: https://zenodo.org/records/19904166 Identity Persistence Calculus: https://zenodo.org/records/19905404 The Unclosable Bridge: https://zenodo.org/records/19601328 The Bounded Corridor: https://zenodo.org/records/19645631 Claims in this record concerning replacement of probability, universality, ontology, physics, intelligence, biology, governance, or reality should be read as developmental framing, not as the current formal claim. The current claim is restricted to identity persistence under transformation within explicit admissibility constraints: recurrence comparability, admissible redescription, bounded drift, and scalar governance.