A Constraint-Based Law of Identity Persistence with Empirical Support from a Vibration–Light–Morphology Cascade

This paper presents a constraint based formulation of identity persistence within the Conditional Unlocking Fields (CUF) framework and applies it to the Constraint-Induced Identity Locking (CIIL) cascade. It defines the primitive CUF objects, derives a finite persistence threshold under explicit regularity assumptions, and formalizes cascade transfer as a non-erasing admissibility map across vibration, light, and morphology regimes. Empirical support is provided by the CIIL simulation architecture, where distinct upstream vibration-drive geometries are tested against six null models for downstream morphological differentiation. The paper separates formal derivation, empirical support, conjectural extensions, limitations, and falsification conditions.