NON-FINALITY IN CONSTRAINED SYSTEMS Recursive Admissible Re-emergence and the Limits of Observation

This paper presents a unified structural interpretation of system termination observation limits and re-emergence within the Paton System. It shows that collapse does not imply finality and that limits of observation are local rather than global. When admissibility fails structure becomes assimilated to the point of indistinguishability from its origin. This does not represent absence but loss of legibility from the observational datum. Beyond admissibility boundaries structure enters a regime in which no single continuation is constrained permitting unbounded structural possibility. The framework establishes that systems are locally bounded but globally open and that observation and continuation are path-dependent rather than absolute.