The Datum Interface Principle: Recursive Admissibility as the Minimal Structure of Continuation

This paper presents a minimal formal articulation of the Paton System from the perspective of a single admissible datum. A datum is defined as a recursively generated state existing under constraint and memory. Continuation is permitted only when admissibility remains satisfied. The result demonstrates that beginnings and terminations are frame-relative constraint events rather than absolute ontological boundaries. The structure reduces to recursive admissibility with memory and boundary conditions. All higher-tier geometric, cosmological, and domain-specific formulations are derivative of this minimal interface law.