H5: the prescription interface remains closed

No prescription is entered. A future prescription must name:

1. its ambient space;

2. a reference distribution on a proved domain;

3. the exact locus across which it extends;

4. agreement with the grouped frozen prescription;

5. a finite uniform transverse degree;

6. a closed conic wavefront bound retaining the off-locus singularities;

7. a normalization selecting one map or a proved uniqueness theorem.

The test locus remains

It is not converted into a codimension-four numerical extension problem.

The internal response relation ${\Lambda }_{\mathrm{resp}}$ does not change that test locus. It is a relation of a precomposition kernel, not a characteristic extension locus for the grouped quantum target.

The prospective bound

requires its own hypotheses. A bound by $N^{\ast }N$ alone cannot erase nonsmooth reference values away from $N$.

The Brunetti–Fredenhagen and Dang extension frameworks remain comparison frameworks only BF,Dang. No theorem from them is applied to the absent joint characteristic distribution.

XIII-E's family is not imported. No cutoff-and-restore limit, finite part, characteristic contact, or new ambiguity class is introduced.