Declarations

scope. All classical coefficients and their gauge comparison are derived from the displayed freeze. The quantum realization and Ward-repair theorems are expressly conditional and are not announced as native quantum constructions.

identification. The manuscript fixes an original-rod variant independently. The supplied Em02-E excerpts motivate its target and audit. They do not establish equality of every native defining datum.

scope. Prior series manuscripts supply version-qualified shapes, checklists, and separations, not unprinted theorem premises. Catalogue attribution, proof validity, Lean scope, artifact hashes, and rebuild reports are not independently authenticated. No exhaustive scan of the series is claimed.

. Published primary literature is cited for the stated frameworks and analytic results. Unpublished series records are cited by supplied version and filename; descriptive titles are not expanded where complete metadata were unavailable.

. The source requires standard pdfLaTeX packages and contains one internal bibliography. No successful pdfLaTeX run, proof-assistant execution, independent numerical or symbolic calculation, native programme compilation, referee decision, or journal acceptance is asserted.

and availability. The manuscript is anonymous. Citation of N. Cheung does not establish authorship of this note. A signed submission must supply authorized author metadata and stable archival copies or locations for the cited unpublished records.