Basin Transitions Structural Movement Between Stability Regions in Constraint Space

This paper introduces Basin Transitions within the Paton System as a structural description of movement between regions of stability in constraint space. Building on Admissible Trajectories and Admissibility Curvature the framework defines basin transitions as paths that traverse regions of reduced admissibility margin between stabilising basins. The model identifies structural barriers transition conditions and admissibility constraints governing movement between stability regions. This provides a domain independent method for analysing regime shifts tipping points and structural reconfiguration without modifying underlying governing equations.