Declarations

dependence. The ramp convention sheet, coordinate identities, edge witness, relational signs, support, smooth continuity, and classical covariance are cited premises from X-A.tex. Their covariance proof is not reproduced. No convolution identity or earlier-series product is used.

and order. The manuscript constructs one scalar retarded map on specified off-shell linear insertions. Admission is through ${\kappa }^2$; the completed quantum Ward identity is through ${\kappa }^1$. There is no claim that the incomplete second coefficient is invariant.

boundary. A free Wick presentation is fixed. No new diagonal extension, subtraction, or finite contact is used for the constructed map. The absence of positive-$\hslash$ terms is proved for this field content and this map, not asserted for a successor with a quantum metric.

status. No successful pdflatex execution, proof-assistant check, numerical verification, or independent referee review is claimed. The source uses no external figures, bibliography database, or executable code.