Unified extension and state ledger

mathematical questions. The unclosed items are:

1. completion-supported Wick-square, current, and stress extensions and their counterterms;

2. global microlocal propagation for the selected states;

3. massive states and observables, including threshold restrictions;

4. induced Maxwell fields and broader source-by-source literature audits;

5. a smoothed-core or distributional apex curvature-coupling model selecting an effective extension;

6. general non-product extensions;

7. spinors and constrained gauge systems;

8. thermal and other non-ground states;

9. simpler closed stress formulas for generic matrix relations.

The first and fifth questions are not answered by the vanishing regular-part curvature anomaly. On the declared regular manifold, $\xi$ changes the stress expression but not the fixed scalar equation or chosen extension.