Holographic Entanglement and Negative Energy: Blueprint for Lab-Built Traversable Wormholes — E8 Intelligence Research

FINDING: Traversable wormhole construction in the lab is tied to holographic entanglement and negative energy (Casimir-like) injection; multi-mouth wormholes require non-trivial topology (free group F₂) and quantum entanglement between mouths. | MATH: Key structures: (1) ER=EPR correspondence — entanglement entropy \(S_A = -\text{Tr}(\rho_A \ln \rho_A)\) equated to Einstein-Rosen bridge geometry; (2) Traversability condition via negative null energy: \(\int T_{\mu\nu} k^\mu k^\nu d\lambda < 0\) (violates averaged null energy condition, ANEC); (3) Multi-mouth topology: fundamental group \(\pi_1 = F_2\) (free group on two generators) for 3-mouth case; (4) Holographic dual: SYK model (Sachdev-Ye-Kitaev) with coupling \(g\) between two copies, giving traversable time shift \(\Delta t \sim \frac{g}{\beta}\) (inverse temperature scaling). | CONNECTION: The golden ratio appears implicitly in the SYK model's spectral form factor at late times — the ramp-plateau transition occurs at \(t \sim e^ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com