Coarse-Grained Anti-Recurrence and Informational Hysteresis in Finite Memory Systems: Lost Preimages, Side Records, and Capacity-Recovery Asymmetry

FDS-P4 develops a finite-memory account of coarse-grained anti-recurrence and informational hysteresis. It studies what happens when a finite effective representation applies a non-injective truncation: once preimage information is absent from the effective record, later capacity recovery does not reconstruct the discarded distinctions. The central claim is representation-relative, not metaphysically irreversible. P4 does not deny microscopic reversibility, unitary dynamics, Poincaré recurrence, reversible computation, or fluctuation theorems under their own assumptions. It asks a narrower operational question: if exact preimage recovery is later possible, where was the inverse information stored, and what…