A Minimal Empirical Demonstration of Cross-Domain Admissibility

This paper provides a compact “proof-of-structure” demonstration that a single admissibility logic can be instantiated across distinct domains without importing domain-specific dynamics. Using a minimal worked example, the paper shows that (i) candidate transitions are proposed, (ii) continuation is certified only when constraint conditions are satisfied, and (iii) failure corresponds to boundary exceedance rather than explanatory ambiguity. The result is a domain-neutral template: the same admissibility structure can be used to compare systems with different surface mechanisms while preserving identical constraint logic. The aim is not a grand unification claim, but a surgical empirical compression: one small, repeatable demonstration that the Paton System’s admissibility-first spine is portable and testable across fields.