Abstract

We continue XIV-E's unresolved characteristic composition problem without changing the pair, six-branch germ, source, or ambiguity contract. Exactly one route is examined: direct paired composition of the selected conormal fiber product, with the proposed two-dimensional excess identified with the relative transverse directions of XIV-E.

The required geometric hypotheses fail. The two cone equations and the observable attachment diagonal give six regular constraints. On their smooth zero set, the remaining cone equation is a positive quadratic expression in two relative angular directions. Its zero set has two additional base conditions although its first differential vanishes there.

Consequently the selected conormal fiber product is smooth but not clean: its actual tangent space has dimension fifteen, while the linearized matching space has dimension seventeen. The two-dimensional quotient is a tangent defect, not an established clean excess bundle. Moreover, the covector-sum projection has constant rank fourteen with one-dimensional local fibers. Its local image is isotropic, not a sixteen-dimensional Lagrangian submanifold of the cotangent bundle of the common ambient space.

A nondegenerate quadratic form on the defect plane is identified, but it does not repair the failed tangent-space equality or define a symbol integral. No joint symbol, complete remainder estimate, or characteristic prescription is constructed. The ending is Unresolved at F2, within the inherited E1/D2/J2 stop. The result excludes the direct clean-excess-two identification, not every possible paired construction or cancellation of the full sum. J3–J5 and the Ward-defect question remain unopened.