Tier 6 — Structural Admissibility Geometry: Conditions, Paths, and Regions of System Continuation

This paper presents a unified summary of Tier 6 within the Paton System, defining the structural geometry governing system continuation under constraint. While Tier 3 establishes admissibility as the condition for continuation, Tier 6 formalises how admissibility is expressed across local conditions, trajectories, and global regions. Three components are integrated: (1) Fit, Form, and Function as the minimal local condition for admissibility, (2) Admissible Trajectories as constraint-compatible motion through state space, and (3) Admissible Regions and Boundary Geometry as the global structure defining where systems can exist. Together, these form a complete geometric interpretation of persistence, transition, and collapse.