Physics has historically bifurcated energy into two distinct realms: the rest mass of matter ($E=mc^2$) and the radiative energy of light ($E=hf$). In this monograph, we transcend this duality by introducing the Unified Geometric Theory of Energy, grounded in Topological Quantum Chromodynamics (Topological QCD). We postulate that all energy is fundamentally the topological stress of the Gravitational Spin Polarization Tensor $\Pi_{ab}$. Within this unified framework, mass is a static Borromean knot of the spin network, whereas the photon is a dynamic, unknotted projective ripple. We rigorously derive the speed of light $c$ not as an axiomatic constant, but as the absolute mechanical elasticity limit of the vacuum geometry, governed by the Lichnerowicz identity.