UMO Integration and Validation: Unifying Fundamental Forces, Quantum Mechanics, and General Relativity

This publication explores the unification of fundamental forces—gravitational, electromagnetic, weak, and strong—within the Universal Mathematical Ontology (UMO) framework. By integrating quantum mechanics, general relativity, non-commutative geometry, and topological quantum field theory (TQFT), the manuscript derives a unified equation that models physical interactions across all scales. The work includes detailed mathematical derivations, computational simulations, and empirical validation through quantum simulations, demonstrating the robustness of the UMO framework in providing a comprehensive model of the universe's fundamental forces and interactions.