Geometric Unification of Fundamental Forces via the Ω-Model

We present an expanded formulation of the Ω-Model’s unified field equations, force laws, and geometric action, derived from dual-frequency spacetime curvature. Theseexpressions unify gravity, electromagnetism, and quantum structure across physical scales—from atomic to galactic—via a topological construct rooted in toroidal andpoloidal motion. A dual-temporal geometry emerges from the topology of toroidal systems, revealing a curvature-based invariant that governs interaction strength. Theintroduction is supported by visual analogies, geometric derivations, and verified predictions across multiple domains, laying the foundation for a new paradigm of unifiedphysics.