Dimensional Behavior in Recursive Geometry: Stick Theory and the Collapse of Structure into Flow

Stick Theory: Dimensional Scaling and the Collapse of Structure into Flow expands the foundational Stick Theory framework by introducing dynamic structural behaviors, recursive collapse mechanics, dimensional scaling laws, and phase transition modeling. This work defines how linear stick structures transition across dimensions through recursive memory stabilization, collapse vector dynamics, and inertial field preservation. Motion is reframed not as disruption, but as recursive identity preservation within dimensional thresholds. This paper represents Version 2 (v2) of the Stick Theory framework, supplementing and extending the structural principles established in Version 1.