Deriving the Unified Force Equation from the Generalized Unified Field Equation of the Ω-Model

This paper presents a detailed derivation of the unified force equation from the generalized unified field equation within the Ω-Model. It includes both the non-relativisticand relativistic forms of the force law, derived from the dual-frequency curvature invariant. Key differences between small-scale (atomic/subatomic) and large-scale (planetary/cosmic) regimes are discussed, along with the compact vector form of the relativistically corrected force. The derivation confirms the Ω-model’s capacity to unifygravitational and electromagnetic phenomena across scales.