Declarations

claims. Family 265 is an external OpenAI record. Its proof is not verified here and is not a premise of the local theorems. The available statement and excerpts are not represented as an exhaustive inspection of the source or Cheung corpus.

. The requested identifier is Oai265-A. No authorship, approval, registration, or endorsement of this development by N. Cheung is asserted. Citations to Cheung identify supplied manuscripts, versions, and labels, not independently verified publications.

and execution. No successful pdfLaTeX build, script execution, Lean execution, proof-assistant coverage check, numerical optimization, tensor contraction, physical calibration, or laboratory experiment is asserted. A supplied report of an earlier simulation is not an independent rerun. The proofs printed here and execution evidence are different categories.

scope. The submission-ready mathematical claim is the conditional audit, accounting, and separation release of Theorem thm:release. It is not a submission claiming that the unverified universal area law or its active successor has been proved.

status. For the inherited programme addressed by the supplied dossier,

This release does not overwrite separately scoped, version-specific results. It constructs no Einstein dynamics, holographic dictionary, island, Page curve, gravity-generated entanglement test, or spacetime emergence.