From Unification to Grand Unification: A Mathematical Exploration of Matter Creation in the UMO Framework

This manuscript presents a comprehensive exploration of matter creation within the framework of the Universal Mathematical Ontology (UMO) by developing and testing both a Unified Theory and a Grand Unified Theory. The Unified Theory integrates quantum mechanics and general relativity, while the Grand Unified Theory further extends this framework by incorporating the fundamental forces of the Standard Model (electromagnetic, weak, and strong nuclear forces) into a single cohesive equation. Through a combination of empirical simulations, rigorous mathematical derivations, and theoretical analysis, we validate the robustness of these equations in modeling the universe's expansion and the process of matter creation.