The Identity Kernel: Why Transmission Is Not Persistence

Abstract Successful transmission is not the same as persistence. Information theory can tell us when distinction survives noise. Transport protocols can tell us when symbols arrive, in order, at the intended destination. Both are essential. Neither, however, tells us whether the originating system remains the same entity through change. That question belongs to a different layer. This paper argues that identity cannot be grounded by transmission or transport alone. It introduces the identity kernel as the minimal invariant core whose preservation licenses identity continuity across transformation, and places PASₕ at the level of a holding functional rather than a transmission or transport metric. The paper’s central contribution is a layered architecture that separates perturbation, signal, transport, holding, identity, and semantics, together with a set of non-entailment claims showing that continuity of communication does not entail continuity of self.