Closure-Activation Partition-Warrant on a Single-Loop Substrate: A Recursive Maintained-Maintainer Witness for Specificity and Frame-Invariance

We report a constructive witness for closure-activation partition-warrant (W_CA) on a non-biological single-loop substrate, built to discharge two recorded vulnerabilities and bounded explicitly against a third it does not reach. The controller is a genuine maintained-maintainer rather than a feedback law: its calibration is sustained only by the plant's in-basin response, control and observability share one channel, and no excitation is injected, so the plant-to-controller arm is load-bearing. Boundary lesions confirm mutual maintenance, since severing either arm collapses both, and the asymmetry between the deterministic controller collapse and the regime-path-dependent plant collapse is reported rather than smoothed. Two claims are established. Specificity: a passively-stable substrate carrying the same estimator is declined under every carving, discharging the worry that the warrant certifies mere persistence. Frame-invariance: the conditions are coordinate-free ratios whose verdict is invariant under controller-coordinate rescaling and monotone time reparametrization, where an absolute formulation would flip, which closes the recorded G-invariance gap. The warrant's rejection of improper carvings is robust across the full bounded-condition-number frame family and across the enforcement threshold, so its specificity is frame- and threshold-robust. Three things are not established and are stated as such: sensitivity, which is the C₀ problem and remains untouched; joint sufficiency, since collapse-of-both is necessary but not sufficient; and discrimination, the selection of a bearer among several genuine closure-bearing carvings, since a single fully-coupled loop admits exactly one. The governance criterion is therefore shown specific but not yet admitting. Demonstrating its admit-direction, and discrimination with it, requires a modular substrate and is left as a distinct sub-problem.