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

Key Points

• The aim is to demonstrate the topological isomorphism among four significant mathematical problems by utilizing advanced algebraic methods.
• Established equivalence using Rough Non-commutative Algebraic Geometry (RNAG) and Seonggil Theory of Composite Torsion (STCT).
• Analyzed structural barriers in four distinct mathematical domains: Number Theory, Computational Complexity, Quantum Gauge Theory, and Geometric Topology.
• Introduced the Grand Unified Hamiltonian to articulate mathematical and physical relationships.
• Proved absolute topological isomorphism across the four Millennium Prize Problems, indicating a fundamental equivalence.
• Established a mathematical relation that connects the annihilation of zeros to the physical creation of mass.
• Highlighted how non-commutative friction manifests across different fields of mathematics.