What a successor must establish

The next extension attempt must supply:

1. a joint prescription across the noncoincident characteristic configurations, or a proved cancellation of those configurations in the complete selected pair;

2. uniform transverse scaling and wavefront estimates for the three-vertex and four-vertex collision strata and their intersections;

3. compatible extensions with the permitted partial contacts, rather than only isolated primitive extensions;

4. the full output wavefront estimate after proper pushforward.

If these obligations are met, the successor may release one ${R_1}^{(1)}$ in the unchanged carrier and only then open the binary gauge-consistency question at order $\lambda \hslash$. Until then, the free-differential display is not applied to the unconstructed coefficient.

The absence of a joint construction is not an anomaly. The tree datum remains valid and is not rebranded as the quantum answer. No restriction quotient, new representative theorem, Einstein–Hilbert vertex, or sharp limit is introduced.