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

Yining Wu · 2026-05-18

Develops the protected complement of P4. Studies task distinctions whose recoverability is carried by invariant or topological structure rather than ordinary local records. Formalizes invariant side-ledgers through quotient maps, a noisy invariant recovery bound, and a positive-part operational forgetting rate. Uses the Non-Hermitian Skin Effect as a model-class realization. Shows that protection relocates entropy/resource accounting rather than deleting it, with dual forgetting/ledger signatures.

@misc{wu2026fdsp7,
  author = {Yining Wu},
  title = {Topological Obstruction to Forgetting in Finite Distinction Systems: Quotient Invariants, Non-Hermitian Skin Effects, and Topological Side-Ledgers},
  year = {2026},
  doi = {10.5281/zenodo.20265386},
}