Emergence Lock — Observables from Identity Persistence

Abstract This work presents a bridge extension to Paradigm Lock — Identity & Persistence. It derives structural constraints on admissible observables under the assumption that identity persistence is governed by a scalar invariant. Without asserting any physical ontology, the paper shows that any intrinsic, drift-stable, and compositional observable must factor through the identity quotient and associated invariant state. Observables are therefore downstream of identity persistence, while probabilistic descriptions arise only as coarse-grained representations under limited measurement access. Domain-specific identifications (e.g., time, mass, energy, light) are treated as optional, explicitly derived mappings requiring additional operational axioms. All universal claims are typed as DERIVED; Tier-1 results remain untouched.