The Tier-2 → Tier-3 Transition: From Formation to Admissibility in the Paton System

The Paton System describes a structural architecture through which distinguishable systems emerge, interact under constraints, and persist only when admissibility conditions are satisfied. While Tier-2 explains the formation of distinguishable configurations through constrained interaction, not all formed configurations are capable of persistence. A structural transition must therefore occur between formation and admissibility. This paper defines the Tier-2 → Tier-3 transition as the phase in which candidate structures emerging from constrained flow are evaluated for structural viability. The transition marks the movement from formation dynamics to the admissibility gate defined by the Boundary–Relation–Persistence framework. This structural step explains how only a subset of formed configurations becomes capable of persistence and therefore eligible for observation within the Tier-4 datum interface.