External field-theory comparisons

The massive scalar spectral calculation is a familiar external-source structure, not a newly claimed gravitational discovery AMP,Mottola. The present contribution is the explicit convention-bound proof package, complete transverse finite comparison, consistent quadratic CTP prescription, and prepared residual.

Fröb's relational scalar correlator contains a different observable and gravitational contributions FrobCorrelation. No match to it is asserted. A connecting calculation would have to include the relational-coordinate insertions and the relevant quantum gravitational inventory, not merely relabel (eq:finalPi).

The external mathematical references supply standard distributional tools on their stated domains. They do not verify any Cheung sheet or the supplied OpenAI catalogue.