The Paton System — Unified Life Structure (Companion): Layman’s Guide to Formulas and How to Use Them

This companion document provides a practical and accessible guide to the core formulas and structural operations within the Paton System. While the Unified Life Structure paper defines the full Tier 0 to Tier 8 architecture this document focuses on how the system is applied in practice. It explains recursive generation admissibility gating and continuation conditions in an accessible format enabling application without requiring formal mathematical training. The document translates structural principles into operational understanding showing how systems are evaluated for persistence how trajectories are filtered and how observable structure emerges from constraint. It serves as an interface layer linking formal architecture to practical use.