Declarations

scope. The established field-theoretic statements are classical formal coefficient statements on the declared slab and gauge domain. The retarded-product coefficient identity and matrix theorems state their hypotheses explicitly. No quantum Ward identity, radiative counterterm catalogue, or quantum separator is claimed.

to the series. The manuscript is independent of measurement-characterization theorems, finite-mode instruments, and finite multi-graviton contact evaluations. Its first-order response and gauge identities are written and proved here because the switch obstruction depends on their precise signs and domains.

and computation. No empirical data, numerical loop integrations, or executed symbolic calculations are used. The nonzero witnesses are analytic.

. No proof-assistant verification, independently checked loop calculation, successful pdflatex execution, or independent referee review is asserted.

scope. The title and abstract describe the obstruction result actually proved. They do not present an unfinished quantum certification programme as a completed contribution with a radiative prediction.