Geometric Unification of Fundamental Forces via the Ω-Model

We present a mathematically rigorous formulation of the Ω-Model’s unified field equations, force laws, and geometric action, derived from dual-frequency spacetime curvature. These expressions unify gravity, electromagnetism, and quantum structure across physical scales—from atomic to galactic—through a topological construct rooted in toroidal and poloidal motion. This paper isolates the most observationally verified and numerically accurate elements of the Ω-framework, forming the foundation for a universal theory of interaction. Subsequent works will develop the atomic, molecular, planetary, and galactic implications in depth, as well as predictions and anomalies that remain unresolved by conventional models.