Abstract

This manuscript continues XIV-C's characteristic gate for the unchanged binary pair. No quantum retarded coefficient was released there, so no Ward defect is formed here.

We display the complete second-derivative ledger and the two nonzero species channels of the grouped two-line expression. A common attachment/residual-variable description makes the retained local comparison precise. In its mixed channel, $B_1,B_2,B_3$ vanish as kernel germs by their field-location supports; the scalar-sector branches vanish in that channel. The scalar–scalar channel is excluded only on the specified retained output-location patch. The complete potentially surviving mixed germ therefore contains $B_4,\dots ,B_9$, including both gravitational-response legs.

We also compute the full leading fiber-tensor numerator of $B_6$, rather than its temporal monomial alone. It is nonzero for suitable residual field jets. This is a branch diagnostic, not a nonzero symbol section of the complete six-branch germ.

The required common microlocal symbol calculation and its lower-order control are not established. Neither cancellation of the complete germ nor failure of that cancellation is proved. Consequently no characteristic prescription is entered on the strength of the branch diagnostic. Necessary degree, wavefront, and ambiguity conditions for a future prescription are separated from its existence.

The exact ending is Unresolved at D2, within J2. No characteristic extension, admitted ${R_1}^{(1)}$, quantum Ward defect, new contact class, or sharp-width limit is constructed.