Topological Equilibrium Ruptures: Modeling Brutal Foldings and Angular Torsion Waves (OTA) in Topological Angular Mathematics (MAT)

This article presents the dynamics of topological equilibrium ruptures within $\mathbf{MAT}$. Since the Universe is an angularly flat $\mathbf{CATS}$, any accumulation of angular tension beyond an \textbf{Angular Rupture Threshold ($\mathbf{S}_{\text{Rupture}}$)} leads to a \textbf{Brutal Folding or Unfolding ($\mathbf{PDB}$)}. These events release \textbf{Angular Torsion Waves ($\mathbf{OTA}$)}, whose propagation is modeled by the Angular Propagation Equation (\textbf{APE}). We demonstrate that the $\mathbf{OTA}$ propagates at a speed $\mathbf{v}_{\mathbf{\Theta}} \ge \mathbf{c}$, generating unique signatures based on \textbf{spin-torsion coupling} and opening the door to topological non-locality phenomena (inter-sheet transitions).