Bostick, Devin: A Mathematical Theory of Identity Persistence_ Identity, Invariance, Drift, and Capacity Under Admissible Transformation

This paper develops a mathematical theory of identity persistence under admissible transformation. It asks what structure is required for a same/not-same judgment across recurrence to be meaningful, non-arbitrary, and non-trivial. The theory defines identity-bearing units, state spaces, admissible transformations, admissible redescriptions, quotient state spaces, continuation relations, invariant vectors, scalar governance functionals, drift bounds, verdict functions, and finite-state identity c