Quantum Entanglement and the EPR Paradox: Einstein-Rosen Bridges in Gravitational Spin Networks

The phenomenon of quantum entanglement, famously described by Einstein, Podolsky, and Rosen (EPR) as "spooky action at a distance," remains a fundamental mystery of quantum mechanics. In this monograph, we resolve the EPR paradox using Topological Quantum Chromodynamics (Topological QCD). We mathematically prove the ER=EPR conjecture without string theory, demonstrating that entangled particles are physically connected by microscopic Einstein-Rosen bridges formed within the Gravitational Spin Polarization Tensor $\Pi_{ab}$. Bell's inequalities are geometrically violated not due to superluminal signaling, but because the topological distance between entangled particles through the spin network is strictly zero. The modified Lichnerowicz identity provides the geometric stability for these macroscopic quantum connections.