Declarations

. The Page average, finite entropy-continuity theorem, exact correction criterion, entanglement-breaking structure, and information–disturbance theorem are established results cited at their use. The direct-sum sector calculation is consistent with the symmetry-resolved random-state literature. The contribution is their assembly into a corrected extrapolation framework, the capacity compatibility test, the two-return-type clocked sketch, and explicit separation of the required allowances.

provenance. Cheung's internal manuscripts are cited by the supplied identifiers and versions. Documentary comparison is not independent verification of the entire corpus and is not an identification of their models. The supplied Hawk05-A and Hawk05-B author fields are empty; authorship of those files is not inferred. Cheung's journal article is distinguished from the internal manuscripts.

scope. No gravitational microscopic Hamiltonian, collapse channel, backreaction law, local coherent receiver, island surface, replica-wormhole calculation, or spacetime-emergence theorem is constructed. The supplied clock and black-hole entropy law do not remove those obligations.

and verification. This is a standalone source written for pdflatex. No successful compilation, proof-assistant verification, numerical execution, independent referee approval, or journal acceptance of Hawk05-C is asserted.