Declarations

scope. The new proofs concern a specified regular algebra, the identical coupled free operator, weighted spatial Newton domains, a finite contact module, and conditional breaking/repair interfaces. Their scopes are not renamed as native quantum closure.

scope. The full XX-A–XX-E texts are supplied. Cheung's other manuscripts are cited by supplied identifiers, versions, and excerpt locators. Their records and catalogue comparisons are not independent proof verification or theorem premises. No exhaustive series scan is claimed.

interpretation. No selected positive physical state, nonlinear quantum coordinate operator, complete interacting one-loop lapse, native quantum BRST/BV operation, regulator removal, or external-time-free evolution is constructed.

and submission. The source is standalone pdfLaTeX with one internal bibliography. No successful compilation, proof-assistant run, independent symbolic or numerical execution, referee decision, or journal acceptance is asserted. A signed submission must supply authorized authorship, affiliation, and archival locations for unpublished records.