The two clock quantum slots remain unclosed here

The supplied VI record leaves its quantum finite-renormalization certificate RG-open: the quantum products, complete counterterm catalogue, radiative vector, response matrix, and quantum switch identity are not supplied there CheungVI.

The supplied Em02-E record fixes the classical lapse using the original inflaton-slice harmonic rods, while leaving the quantum package incomplete CheungEm02E. Its five audit slots are:

1. gauge fixing, the complete coupled operator, Green distributions, and normalized covariance;

2. a state or appropriate parametrix with the required singular and tail properties;

3. the required quantum insertion products and admissible counterterm class, including their observable images;

4. a controlled complete remainder and any requested regulator-removal theorem;

5. the retained-order quantum gauge identity and its admissible repair.

None is constructed in this note. No limit toward $t=0$ is taken.

A parametrix is not a selected physical state. A classical Hessian is not its quantum contraction. A product prescription for local insertions is not automatically one for an independently specified nonlocal coordinate kernel HW,BF. XIX-D supplies the relevant audit comparisons, not their native realization XIXD.