Universal Mathematical Ontology (UMO): A Unified Framework for General Relativity, Quantum Mechanics, and Fundamental Physics

The Universal Mathematical Ontology (UMO) presents a groundbreaking approach to unifying General Relativity and Quantum Mechanics within a purely mathematical framework. Unlike String Theory, which relies on extra dimensions, UMO achieves unification in four dimensions using non-commutative geometry, topological quantum field theory (TQFT), and category theory. This work provides rigorous mathematical derivations, computational simulations, and testable predictions for black hole entropy, the Page Curve, and quantum information retention. It offers a novel approach to the Grand Unified Theory (GUT), integrating electromagnetism, weak, and strong nuclear forces within the UMO structure.