Quantum Entanglement and Negative Energy Enable Multi-Mouth Wormholes — E8 Intelligence Research

FINDING: Traversable wormhole construction in the lab is tied to quantum entanglement and negative energy, with multi-mouth generalizations in 4D spacetime; the key mathematical structure is the free group \(F_2\) for three mouths. | MATH: Multi-mouth wormhole topology: fundamental group \(\pi_1 = F_2\) (free group on two generators) for 3 mouths; general case: \(\pi_1 = F_{n-1}\) for \(n\) mouths. Traversability requires negative energy density (quantum weak energy condition violation), typically via Casimir effect or squeezed vacuum states. The eternal traversable wormhole solution (Maldacena–Qi) uses a double-trace deformation coupling two boundary CFTs, with coupling constant \(\lambda\) tuned to keep the wormhole open; the throat radius \(r_0\) scales as \(r_0 \sim \ell_{\text{AdS}} \cdot f(\lambda)\). | CONNECTION: The free group \(F_2\) is the fundamental group of a genus-2 surface — a hyperbolic geometry with constant negative curvature. This links to the modular group \(PSL(2, Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com