Declarations

domain. All two-point distributions and all wavefront equalities are on the smooth regular spacetime $M$, with $r,r^{\prime }>0$. No value of a quantum field on $\mathcal{W}$ is defined.

scope. The Friedrichs operator, bundle convention, and spectral identification are those stated explicitly in Section sec:state. The kernel summation, all-angle wavefront upper bound, diffraction coefficient, quotient criterion, and equality theorem are proved in this paper. Other companion citations are identified as analytical inputs or scoped comparisons; unquoted corpus material is not an additional premise.

scope. The paper claims a completed analysis for the stated companion problem. It does not claim invention of conical diffraction, Aharonov–Bohm diffraction, the Hadamard condition, spectral ground states, or microlocal product calculus.

and submission scope. This is a single-file pdfLaTeX manuscript with an internal bibliography. No successful build, numerical experiment, independent referee verification, journal acceptance, or proof-assistant certification is asserted.