Admissible Flow and Resolution A Structural Account of the Tier 0 → Tier 1 → Tier 2 → Tier 3 → Tier 4 Transition

This paper defines admissibility as the structural condition governing the transition from undivided availability to realised structure through constraint filtering. Within the Paton System, undivided availability (Tier 0) precedes distinction (Tier 1), distinction produces structured possibilities (Tier 2), and only those transitions that remain internally consistent under constraint may continue through admissibility filtering (Tier 3) into realised structure (Tier 4). As trajectories approach the admissibility boundary, incompatible paths collapse while viable trajectories compress into a bounded admissible corridor. Only these constraint-consistent trajectories pass through the admissibility gate. The resulting structure is not selected or optimised, but emerges as the only configuration that survives constraint without contradiction. From the human perspective, this process is experienced as smooth, continuous flow — often described as a path of least resistance — which corresponds structurally to continuation within an admissible corridor. This establishes admissible flow as the minimal mechanism governing the transition from availability to reality.