A Minimal Empirical Demonstration of Cross-Domain Admissibility: Identical Constraint Logic in Engineering and Institutional Systems

This paper presents a formal cross-domain demonstration of admissibility logic as defined within the Paton System. Two materially distinct systems—an engineering load-bearing component and an institutional emergency department—are analysed under an identical constraint-corridor structure. Persistence is shown to correspond to bounded constraint compatibility with recoverability, while collapse corresponds to sustained boundary violation beyond a defined tolerance window. The demonstration is domain-neutral and establishes structural invariance independent of disciplinary dynamics. By exhibiting identical admissibility conditions across materially distinct systems, the paper provides a compact empirical compression example supporting the Paton System’s admissibility-before-dynamics principle. This work functions as a bridge demonstration linking domain branches through invariant constraint logic.