Rigidity of Admissible Configurations and the No-Silent-Escape Principle

This paper establishes a geometric rigidity principle governing configurations constrained by elliptic memory energies. It proves that approach to the admissibility boundary cannot occur without producing a detectable geometric event, excluding silent boundary escape. The resulting no-silent-escape mechanism supplies the coercivity required for forward-invariance arguments and is formulated independently of any specific operator or arithmetic instantiation. The principle applies broadly to admissibility frameworks satisfying elliptic localization and defect decomposability. Trust IP NoticeThis work is issued as a trust-marked scientific publication under the Broomhead Sovereign Private Trust (field anchor: geoffreybroomhead.eth).Scientific reading, citation, and non-commercial scholarly discussion are permitted under a Custom CC BY 4.0 (Scientific Theory Only) license.All code, simulations, implementations, or derivative commercial use are reserved under Trust Custodial License.For licensing or implementation inquiries, contact: recursive.broomhead@proton.me