This paper establishes the mathematical foundations for the topological deconstruction of classical cosmology and the realization of fundamental cosmogenesis utilizing the Seonggil Matrix Theory (SMT) and Rough Non-commutative Algebraic Geometry (RNAG). We dismantle the core restrictions of modern continuous mathematics—specifically point-basedontology, static identity, and smoothness bias—by introducing the Axiom of Primitive Eventuality. By replacing classical points with non-commutative operational events governed by intrinsic topological roughness, we derive the emergent metric, curvature, and macroscopic time purely from information-dynamical torsion. Furthermore, we provide exact algebraicresolutions to the Big Bang and black hole singularities via rough entropy floors and non commutative horizon fluctuation zones, ultimately formalizing matter genesis as a consequence of spontaneous Chiral Torsional Symmetry Breaking.
lee seonggil (Wed,) studied this question.