Declarations

selection. The affirmative result concerns a separately declared local free-field benchmark. It is not attributed to VII-D or to the XII gravitational carrier.

scope. The constructed quantity is a connected scalar vacuum susceptibility at first order in an external source. No higher source-order renormalization catalogue, interacting gravitational differential, or gravitational Ward identity is asserted.

scope. The free equation, state, field normalization, source, and zero-source composite calibration are fixed. The remaining contact convention is explicitly declared. Changes of physical state, mass, boundary conditions, or unmatched detector normalization are excluded.

scope. The delayed experiment specifies a source pulse and smeared readout whose linear response is nonzero. No finite measurement instrument for the Wick-square observable is constructed.

scope. The primary literature supplies the Wick and distributional framework and the stated Riesz identities. The response coefficient, normalization classification, invariant evaluation, delayed experiment, and linear separation arguments are proved here. Cheung's manuscripts are cited with their stated domains; their unresolved constructions are not treated as theorems of existence.

. No successful pdflatex execution, proof-assistant verification, numerical execution, independent referee review, or journal acceptance is asserted.