Abstract

I present a comprehensive and mathematically rigorous Theory of Everything (TOE) that unifies the strong, weak, electromagnetic, and gravitational interactions within a single gauge-theoretic framework. This theory combines an SU(5) grand unified theory (GUT) [1-4] with quantum field theory in curved spacetime (QFTCS) [5-7], allowing for a description of gravity as an emergent phenomenon arising from the dynamics of the unified gauge fields.I provide a complete proof of the Yang-Mills mass gap [8-10], the non-perturbative energy scale that controls color confinement and the dynamical generation of hadron masses, using variational methods [11-13], renormalization group techniques [14-17], and lattice gauge theory simulations [18-21]. I demonstrate that this TOE naturally gives rise to cosmic inflation, dark matter, and dark energy, in excellent agreement with observational data [22-29].I discuss the experimental signatures and testable predictions of the theory, including precision tests of the Standard Model parameters [30-36], proton decay [37-39], neutron-antineutron oscillations [40-42], and the production of exotic hadrons at colliders [43-46]. Finally, I show how the SU(5) gauge group can be extended to incorporate spacetime symmetries, giving rise to a quantum theory of gravity that reproduces the Einstein-Hilbert action in the low-energy limit [47-51], thereby providing a concrete realization of the unification of quantum mechanics and gravity.