Entanglement as Constraint-Linked Admissibility: A Structural Interpretation within the Paton System

This paper presents a structural interpretation of quantum entanglement within the Paton System framework. Entangled systems are described as sharing a constraint structure that governs admissibility jointly rather than independently. Admissibility is therefore evaluated at the level of the composite system rather than its individual components. Measurement outcomes in entangled systems reflect constraint-linked admissibility across the joint system. A measurement applied to one subsystem restricts the admissible configuration of the other through the shared constraint structure, without requiring signal transfer. This work does not modify quantum mechanics and introduces no new ontology. It provides a pre-theoretical structural lens in which entanglement is understood as shared constraint determining admissible configurations. It complements prior work on quantum state admissibility and quantum measurement as admissibility collapse without duplication.