Recoverable Persistence and Physical Closure: A Closure-Forced Derivation from Bootstrap Beginning to World-Structure, Physicalization, and Empirical Specialization

This working draft develops a closure-forced derivation from an attempted beginning to the structural roles normally presupposed by physical theory. The derivation begins with the executable fork that an attempted beginning either becomes recoverably specifiable or collapses. Once recoverable specification is available, its dependencies become exposed; non-self-presupposition then appears as the first admissibility filter. From that starting point, the paper derives a persistence kernel consisting of admissible transformation, constraint, lineage, minimum support, pressure, and structured recovery. It then saturates the kernel under plurality, interaction, bounded support, mediated relation, stable propagation, non-unique admissibility, and internal support closure. The resulting framework derives world-like co-continuation, shared lineage, registration, event order, path-cost, locality as bounded evaluability, finite propagation, reachability intervals, description equivalence, branch accounting, geometry-burden closure, local redundancy, anomaly cancellation, Standard-Model-like charge structure, three-generation chiral asymmetry closure, support-field mass generation, and empirical-specialization gates. A derivation ledger and closure audit are included to state, for each major role, the prior commitments, the closure failure if the role is absent, and the derived consequence. The manuscript is a working draft and has not been peer reviewed. The later physical-closure and empirical-specialization sections should be read as a proposed research program pending external mathematical and physics review.