Theorem: Freeze and solution-fiber release

The selected action is a coherent density-before-variation cubic modification preserving the XI-A/XI-B free handoff. Its actual source and changed Noether identity are those of Theorems thm:actualsource and thm:noether. Its fixed-input family ${\varphi }_m$ has no coupled invariant jet, by Theorem thm:empty.

The freeze is Constructed. If a single ending is assigned by the worst-gate convention, the named fixed-input release is Proved obstructed at C3. Neither statement is a kernel-admission or observable no-go.

Proof. The action and density are fixed by (eq:selected-action) and (eq:ell3). The cubic modification preserves the free Hessian. The cited source and identity theorems prove its variational and Noether consistency, while the jet theorem supplies the specified incompatibility. No admission or response premise is used in these arguments.