Escape-Action Stability and the Continuum Status of First-Loss Closure in Constrained Null Geometry

This paper examines the continuum status of the first-loss black-hole sector in Constrained Null Geometry (CNG). A previous CNG construction produced a finite connected trapped region, a transparent exterior reservoir, and a finite dynamically reorganizing interior through the escape-action operator. The present work investigates the meaning of the hard-support Jacobian limitation reported in that construction. It is shown that trapped closure is governed by the escape-action barrier rather than by differentiability of the support realization. The analysis separates Jacobian continuity from trapped-region stability and proposes an admissibility-stable interpretation of first-loss closure. Using the certified escape-action audit, the paper demonstrates that the weakest trapped state remains far above the reporting threshold, supporting stability of the trapped sector independently of the hard-support Jacobian outcome.