Kearon's Record–Admissible Structure: A Necessity-Based Theory of Identity, Time, and Persistence

Description This work introduces Kearon’s Record–Admissible Structure (KRAS), a structural theory deriving identity and temporal order from the necessity of record consistent updates. The framework is based on three interdependent laws: (1) the Admissibility Principle, which restricts allowable transitions to those preserving record coherence; (2) the Law of Record–Forced Temporal Order, which derives temporal sequencing from contradiction avoidance between records; and (3) the Identity Emergence Law, which defines identity as an admissible trajectory through record space rather than as a static property of objects. Unlike operational persistence models that assume identity and time as given, KRAS treats both as emergent consequences of structural constraints. The theory does not presuppose spacetime, metric distance, probability, or dynamics. It operates at the level of records, updates, and admissibility relations, making it applicable to physical systems, biological organisms, cognitive processes, computational systems, and abstract state spaces. KRAS is positioned upstream of Conditional Unlocking Fields (CUF) and related persistence frameworks. Where CUF specifies how identity survives perturbation and where collapse thresholds occur, KRAS specifies what identity is and why ordered succession must exist at all. In this sense, KRAS provides the structural preconditions for persistence rather than a model of persistence itself. The theory predicts that identity collapse corresponds to violation of record constraints rather than to perturbation magnitude alone, that temporal ordering arises from the requirement that updates remain consistent with prior records, and that identity can be formally represented as an admissible trajectory through record space. Falsifiability criteria are specified in terms of the possibility of identity persistence under record contradiction or the absence of required ordering under constraint preservation. This work contributes a necessity-based foundation for understanding persistence, irreversibility, and collapse across domains, and provides a unifying structural account of how anything can remain itself through change.