Paton System — Cognitive Clarifications (Series III)

This paper presents the third series of cognitive clarifications within the Paton System, focusing on system stability, drift, and structural integrity over time. These clarifications extend the operational understanding of admissibility by examining how systems persist, distort, and collapse under recursive continuation and constraint accumulation. The work formalises key interpretive conditions, including drift within admissible regions, false stability outside constraint compatibility, structural memory and path dependence, and the distinction between local validity and global invalidity. It further defines over-extension as the primary cause of model failure and identifies structural saturation as a limit where added complexity reduces viability. Stability is defined not as static equilibrium but as continued admissibility under constraint. Collapse is interpreted as the structural completion of constraint limits, consistent with the Constraint–Incompatibility Collapse Law (CICL). This series positions stability, drift, and collapse within the Tier-5 to Tier-6 transition of the Paton System, linking recursive continuation to boundary-defined termination.