Abstract

We continue XIV-F's unresolved characteristic problem for the unchanged binary pair. The selected route works from XIV-E's regrouped operator expression and uses individual conormal relations, without constructing a common product phase or reusing the excluded clean-excess-two matching.

The characteristic test is placed in the common sixteen-dimensional space, on the intersection with the observable attachment diagonal. The copied positive conormal relation specifies a diagnostic cancellation, not a joint symbol relation. In particular, its zero covector cannot serve as the base point of an ordinary punctured principal-symbol bundle.

Two operator-level distinctions are proved. First, after a smooth residual metric test, the differentiated gravitational source is a differential operator of order at most two. Its local symbol is well typed, but does not supply the symbols of the composed response legs. Second, a compact balanced kernel can have nonzero attachment-diagonal wavefront directions even though every smooth residual test produces a smooth attachment kernel.

A separate factorwise audit uses two individually defined conormal factors of the retained numerical incidence. Their own relations and orders are named before their symbols are used. The ordinary two-factor product test fails at the copied characteristic covectors, even after those factors have been legitimately grouped. Thus individual symbols do not bypass the missing pullback hypothesis.

These results do not construct the complete internal symbol relations, a common symbol bundle, a remainder theorem, or a characteristic prescription for the grouped six-branch coefficient. The ending is Unresolved at G2, within the inherited F2/E1/D2/J2 stop. J3–J5 and the quantum Ward-defect question remain unopened.