Paton System — Canonical Boundary Diagram (Dual Representation

This work presents a dual representation of boundary behaviour within the Paton System, illustrating the distinction between information persistence and accessibility under admissibility constraints. The first representation describes information flow as bi-directional continuity. Information moves inward and outward through the system, demonstrating that boundaries do not destroy information but transform its accessibility. The central region represents maximum compression and unresolved admissible space, not emptiness but concentrated possibility. The second representation describes compression at the admissibility limit. As structure approaches the boundary, it becomes increasingly distorted and loses reconstructable form. Information persists within the system but cannot be recovered into observable structure. This defines the admissibility limit, where traversal into externally usable form is no longer possible. Together, these representations demonstrate that systems do not terminate at boundaries. Instead, they continue while transitioning from accessible structure to compressed, non-recoverable states. The system persists while access fails. Final statement: Information persists — access does not. Boundaries compress structure but do not remove existence.