The Unified Datum Line: A Minimal Structural Reduction of the Paton System (v1.4)

This document presents the minimal structural reduction of the Paton System as a Lowest Common Denominator (LCD) law governing recursive continuation under constraint. Admissibility is formalised as a gate condition dependent on both present state and accumulated historical strain. Continuation proceeds only while the system remains inside a dynamically compressible admissible manifold; termination occurs when accumulated strain renders continuation inadmissible. The formulation is structural and domain-neutral. It introduces no new physical mechanisms or ontological claims. All higher-tier constructs within the Paton System — including recursive operators, boundary theorems, and domain applications — are formally derivative of this LCD condition. This document functions as a foundational reduction within the Paton System architecture.