Quantum Wormholes in the Lab: Entanglement, Topology, and Traversability — E8 Intelligence Research

FINDING: Traversable wormholes are theoretically constructible in the lab via entangled quantum systems (holographic duality), with multi-mouth generalizations requiring non-trivial topology (free group F₂). MATH: - ER=EPR correspondence: entanglement entropy \( S_A = \frac{\text{Area}(\gamma_A)}{4G_N} \) (Ryu-Takayanagi formula) links quantum entanglement to wormhole geometry. - Traversability condition: Negative energy density (Casimir effect / squeezed vacuum) with stress-energy \( T_{\mu\nu} \) violating null energy condition (NEC): \( T_{\mu\nu}k^\mu k^\nu < 0 \). - Multi-mouth topology: Fundamental group \( \pi_1 = F_2 \) (free group on 2 generators) for 3-mouth case; each mouth adds a generator, giving \( F_n \). - Holographic tensor networks: MERA (Multi-scale Entanglement Renormalization Ansatz) encodes hyperbolic geometry (AdS₃) with curvature \( R = -2/\ell^2 \), where \(\ell\) is AdS radius. - Quantum circuit depth \( D \sim \log(\text{system size}) \) for telep Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com