Wormholes as Quantum Circuits: Holographic Traversability via Double-Trace Coupling — E8 Intelligence Research

FINDING: Traversable wormholes are not spacetime objects but quantum-information protocols — realized as holographic duals in SYK-type quantum circuits, not gravitational laboratories. MATH: Core equation (Gao–Jafferis–Wall, 2017): the coupling term between left (L) and right (R) boundaries is δS = ∫ dt (q_L(t) q_R(t)) · g² — a double-trace deformation with coupling g. Traversability condition: g > 0 (negative null energy injected via Casimir-like coupling). Key duality: AdS₂ eternal wormhole ↔ thermofield double (TFD) state |TFD⟩ = Σₙ e^(−βEₙ/2)|n⟩_L|n⟩_R. Jafferis et al. (Nature 2022): 9-qubit SYK on Google Sycamore; signal = mutual information I(L:R) > 0 after insertion of probe qubit, measured via out-of-time-order correlators (OTOC). Maldacena–Qi (2018): traversable wormhole ⟺ quantum teleportation protocol; signal-to-noise ∝ e^(−βE) where β = 1/k_BT. CONNECTION: The TFD state's Boltzmann weights e^(−βEₙ/2) form a geometric series — the same structure underlying the golden-rati Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com