Holographic Wormholes Realized in Quantum Circuits and 4D Spacetime — E8 Intelligence Research

FINDING: Traversable wormholes are realizable in the lab via holographic quantum circuits (SYK model) and multi-mouth constructions in 4D spacetime; the 2022 quantum computer experiment (Google Sycamore) demonstrated a "holographic wormhole" teleportation signal. | MATH: The SYK model (Sachdev-Ye-Kitaev) has coupling \(J\) and \(N\) Majorana fermions; the traversable wormhole requires a negative-energy shockwave with coupling \(\mu\) (or \(g\) in Maldacena-Qi). The teleportation fidelity is governed by the out-of-time-order correlator (OTOC) \(F(t) = \langle V(0) W(t) V(0) W(t) \rangle\), which decays as \(e^{-\lambda_L t}\) with Lyapunov exponent \(\lambda_L = 2\pi k_B T/\hbar\) (maximal chaos). The multi-mouth wormhole (arXiv:2012.07821) uses the free group \(F_2\) as its fundamental group, with each mouth corresponding to a generator; the Einstein-Rosen bridge length is \(L \sim \log S\) (entropy). | CONNECTION: The free group \(F_2\) is the fundamental group of a genus-2 surface — Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com