The requested calculation and the application boundary

The requested deliverable is a native quantum breaking term, a calculated admissible counterterm image, cancellation, and a retained-order quantum identity. The plan explicitly requires a completed native prerequisite package before those calculations begin.

XX-A supplies the classical freeze. XX-B supplies its stated compact-test free input. XX-C retains state and infrared choices. XX-D's native one-contraction construction is conditional. XX-E supplies domain tests and comparison images, not the missing quantum operation. The full texts of these five drafts are available in the present exchange XXA,XXB,XXC,XXD,XXE.

Accordingly, this manuscript is a complete proof of its stated interface results, not a purported completion of the absent native quantum calculation.

numbering. The original inventory assigns complete quantum remainder control to Q4 and the retained quantum identity to Q5. The proposed XX-F plan organizes the breaking calculation and its repair jointly under Q4–Q5. We distinguish these usages rather than declare the original remainder obligation closed by a renamed algebraic test.

discipline. Cheung's records provide comparison shapes: same-target admission, actual-image repair, and nontransfer CheungXVIIIA,CheungXIXD,CheungXIXE. Their documentary status does not supply an unprinted covariance, anomaly, or counterterm coefficient. Theorems proved here use the displayed equations.