Quantum Gateway via Entanglement-Induced Spacetime Topology

We propose a semiclassical theoretical framework in which quantum entanglement contributes directly to spacetime geometry, potentially enabling the formation of a "quantum gateway"-a transient, traversable connection between distant regions of spacetime. Building upon the ER=EPR conjecture, holographic duality, and the first law of entanglement entropy, we derive an effective stress-energy tensor sourced by entropy variations. The resulting modified Einstein field equations suggest that structured entanglement distributions may induce topological transitions. Possible implications, limitations, and observational prospects are discussed.