Topological Defense of Euler and Vlasov Global Regularity: Energy Absorption via Seonggil Torsion Tensor and Non-Commutative Winding Numbers

The sudden occurrence of blow-up singularities in the Navier-Stokes, Euler, and Vlasov equations arises from the mathematical collapse of classical partial derivatives (∂_µ) on continuous manifolds. In this paper, we resolve this millennium-old dilemma by transitioning to the Seonggil Torsion and Covariant Theory (STCT) framework. By replacing smooth derivatives with non- commutative covariant derivatives (D_µ) on a rough Planck-scale lattice H_R, we prove that infinite kinetic energy concentration is impossible. The impending blow-up is absorbed by the antisymmetric Seonggil Torsion Tensor (T_ijk) as a topological twist field and permanently quantized into non-commutative winding numbers, ensuring strict global regularity.