The Seonggil Grand Unification: Topological Isomorphism Across Riemann, P vs NP, Yang-Mills, and Hodge via RNAG

This paper establishes the Grand Unified Theory of mathematical physics by proving the absolute topological isomorphism across four historically isolated Millennium Prize Problems. Utilizing Rough Non-commutative Algebraic Geometry (RNAG) and the Seonggil Theory of Composite Torsion (STCT), we demonstrate that the structural barriers in Number Theory (Riemann), Computational Complexity (P vs NP), Quantum Gauge Theory (Yang-Mills), and Geometric Topology (Hodge) are mathematically equivalent manifestations of non-commutative friction. By introducing the Grand Unified Hamiltonian, we establish the ultimate equivalency between the mathematical annihilation of zeros and the physical creation of mass.