Topological Obstruction to Forgetting in Finite Distinction Systems: Quotient Invariants, Non-Hermitian Skin Effects, and Topological Side-Ledgers

Official website: distinctiontheory.orgPublic portal for the start guide, papers, claim status, failure registry, prior-art boundary, and citation resources. Canonical GitHub repository:https://github.com/yiningwu-research/Distinction-Theory FDS-P7 develops the protected complement of FDS-P4. P4 showed that capacity recovery is not distinction recovery: task-relevant preimage distinctions erased by non-injective local truncation cannot be reconstructed without inverse information. P7 studies the complementary case in which task identity is not stored as an ordinary local record but is carried by an accessible invariant quotient. The paper formalizes invariant side-ledgers through a quotient map q : X → Q and…