The Paton System — Unified Life Structure and Companion Guide A Structural Architecture of Admissibility Recursion and Continuity with Practical Formulation Guide

This record contains two linked documents forming a complete presentation of the Paton System. The primary paper Unified Life Structure presents the full Tier 0 to Tier 8 structural architecture governing system existence continuation and observation. It defines admissibility as the pre-theoretical condition for system membership enforced at Tier 3 through the Paton Admissibility Test and establishes recursion at Tier 5 as a conditionally permitted continuation mechanism. The companion document Layman’s Guide to Formulas and How to Use Them provides an operational interface to the system. It explains the core formulations including recursive generation admissibility gating and continuation conditions in a practical accessible format enabling application across domains without requiring formal mathematical training. Together these documents provide a complete framework linking: admissibility as the condition of existence recursion as the mechanism of continuation observation as the projection of admissible structure The system describes how possibility expands across lower tiers is filtered through constraint and resolves into observable structure as a constrained projection rather than a complete representation of total possibility. Continuity emerges through the persistence of admissible recursion across all tiers. This work is domain-neutral and applies across physical biological computational and cognitive systems. It introduces no new domain-specific laws and instead provides a structural admissibility framework governing whether systems may exist and persist prior to explanation or modelling.