Quantum admission is not supplied by the classical formula

Before a quantum version could be attached, one would need, at minimum:

1. a normalized coupled free-field and gauge-fixed input with stated domains and propagators;

2. an admissible state or covariance with positivity and the required singularity conditions;

3. defined composite lapse and rod insertions, with the complete quadratic terms and a specified renormalization freedom;

4. compatible gauge or Ward operations on those same objects, including the transformation of all required jets;

5. uniform estimates controlling the nonlocal rod tails, ultraviolet operations, and the proposed regulator removals in one common output topology.

This is an attachment checklist, not a claim to replace the full native admission contracts of XX-A or Em02-E. Their classical second-order release is not a quantum coefficient CheungXXA,CheungEm02E.

The clock channel (eq:instrument) neither defines an absent field product nor proves any of these estimates. The characteristic-product programme at I3/J2 is a different analytic problem. No result of this appendix opens its downstream admission exit.