The Recursive System Lifecycle: Canonical Diagram of Constraint-Governed Recursion in the Paton System

This record presents the canonical lifecycle structure of recursive systems within the Paton System. The diagram integrates the core progression: • Paton Admissibility Test (PAT) — constraint alignment and system entry • Datum Interface / Datum Cascade — reference formation and persistence alignment • Recursive Continuation — iterative relation dynamics within admissible bounds • Constraint Drift — pre-closure instability and boundary weakening • Boundary Closure — termination condition under viability failure • Boundary–Relation–Persistence (BRP) — structural existence anchor The lifecycle formalises the full progression from admissibility through continuation to termination within constraint-governed recursion. This record does not introduce new theoretical components. It provides a unified architectural representation of existing Paton System constructs and their structural relationships. The diagram serves as a canonical reference for system lifecycle behaviour across domains including physics, computation, and complex systems.