Release and explicit specification correction

and explicit specification correction{ Selected model: density before variation, at cubic order only. This is the unique weighting used in the manuscript.

Correction at C0: the production formula weighting the entire Einstein–Hilbert density cannot also satisfy the requirement that the lower-order XI-A/XI-B sheet remain unchanged. We therefore replace that formula by the explicitly declared cubic-only action in Section sec:freeze. The literal full-density model is not certified here.

Constructed: the action freeze, actual cubic source, changed Noether identity, and successor data.

Proved obstructed: the fixed-input coupled jet for the family ${\varphi }_m$. This is an obstruction of that solution fiber, not of an observable or of XII-A's carrier.

Not opened: B1–B4, kernel admission, any new metric retarded response, a response plateau cancellation, a state, or ${\hat{s}}_{\mathrm{int}}$.}