Economic Systems: Admissibility, Identity, and Structural Persistence

This paper extends the Paton System into the domain of economic systems, treating economies as bounded resource-allocation structures operating within admissibility corridors. Building upon constraint primacy, the Boundary–Relation–Persistence (BRP) framework, and the Lowest Admissible Configuration (LCD) under strain principle, the work formalises economic identity, transaction admissibility, structural compression, and collapse conditions. Economic systems are modelled as allocation state machines whose persistence depends on preserving an invariant Economic Identity Datum within a constrained configuration space. Under increasing structural strain, allocation degrees of freedom compress toward a minimal viable configuration; if that configuration becomes inadmissible, restructuring or collapse follows. The framework is descriptive rather than prescriptive and introduces no new ontology.