System Re-Entry: Structural Conditions for Reconstruction After Collapse in Constraint Space

This paper introduces System Re-Entry within the Paton System as a structural account of how systems may return to admissible space after collapse. Building on Post-Collapse Dynamics the framework defines re-entry as the restoration of positive admissibility margin through constraint resolution structural reconfiguration or formation of new admissible trajectories. The paper distinguishes between restoration of an existing system and emergence of a new admissible system from reorganised components. It further identifies structural conditions under which re-entry is possible or prohibited. This provides a domain independent framework for analysing recovery reconstruction and renewal following collapse without modifying underlying governing equations.