Declarations

supplied texts. XX-A, XX-B, XX-C, and XX-D have been supplied in full in the present exchange. Earlier statements that the full XX-A or XX-B text was unavailable are historical statements of those drafts, not statements about the materials available for XX-E.

“proof” means in this release. The classical residuals, contact images, domain tests, and linear-algebraic implications are the printed mathematical results. The quantum application hypotheses are expressly not announced as verified. A formatted theorem environment does not make an absent covariance, quantum operation, or counterterm classification exist.

attribution. Cheung's registered manuscripts are cited as Cheung, N., by supplied identifier and version. XX-A–XX-D are cited as supplied drafts without inferred authorship. Catalogue records retain their separate supplied OpenAI attribution. No source record is independently authenticated here.

. This source uses standard pdfLaTeX packages, no external inputs, and one internal bibliography. No successful pdfLaTeX build, proof-assistant verification, independent symbolic or numerical execution, referee decision, or journal acceptance is asserted.

metadata. The manuscript is anonymous. A signed submission must supply authorized authorship, affiliation, and stable copies or archival locations for unpublished records. Citation of N. Cheung does not establish authorship of this draft.