This paper formalises the Tier 0–8 structural spine of the Paton System as a domain-neutral admissibility architecture. The framework specifies the logical conditions under which lawful continuation is permitted, without introducing new ontological entities or replacing domain-specific laws. Persistent systems are shown to exhibit ordered progression through differentiation, constrained interaction, admissibility enforcement, stabilisation, recursion, load regulation, and limitation. The result is a closed structural architecture governing variation, persistence, and termination across domains including mathematics, physics, and control systems. The claim advanced is structural rather than metaphysical: continuation occurs only within constraint.
Andrew Simon Paton (2026) studied this question.