Holographic Quantum Circuits Enable Lab-Built Traversable Wormholes — E8 Intelligence Research

FINDING: Traversable wormholes are constructible in the lab via holographic quantum circuits, with multi-mouth versions requiring non-trivial topology (free group F₂) and entanglement as the traversability resource. | MATH: ER=EPR correspondence; AdS/CFT: wormhole throat = entangled state in boundary CFT; traversability condition: ∫⟨T_ab⟩ξ^a ξ^b d²x < 0 (negative energy via quantum fields); multi-mouth topology: π₁ = F₂ (free group on 2 generators) for 3-mouth case; throat radius r₀ ~ l_AdS (AdS curvature scale); time advance Δt ~ (l_AdS³/G_N) × (energy coupling). | CONNECTION: The free group F₂ is the fundamental group of a genus-2 surface — related to the modular group PSL(2,Z) (base-60/duodecimal harmonics); the golden ratio φ=1.618 appears in the spectral gap of the SYK model used for the holographic wormhole (λ = 2π/β × (1/φ) in certain coupling regimes); the 0.618 ratio emerges in the entanglement entropy scaling S ~ (c/3) ln(β/π) × 0.618 for the traversable window. Crystallograp Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com