Paton Unified Equations — Complete (Cross‑Referenced Edition)

This record contains the complete mathematical and structural spine of the Paton System, including the Recursive Structure Equation, the Admissibility & Viability Gate, the Unified Paton Equation, and an accompanying visual companion. The Paton Unified Equations formalise a viability-first continuation framework. Rather than proposing new physical laws, metaphysical entities, or causal forces, the framework evaluates whether continuation, inference, or structural persistence is permitted under existing constraints.