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

Andrew Stewart Caldin

Published Aug 27, 2026• 0 citations
Publisher

Abstract

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

DOI
10.5281/zenodo.22121823

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FINDING: Traversable wormhole construction in lab requires quantum entanglement and negative energy, realized via holographic duality on a quantum processor. | MATH: ER=EPR equivalence; SYK model coupling: \( H = H_L + H_R + g \sum_i O_L^i O_R^i \); wormhole transmission amplitude \(\propto e^{-S}\) where \(S\) is action; time-dependent coupling \(g(t)\) for traversability. | CONNECTION: No explicit golden ratio or base-60; but multi-mouth wormholes (arXiv:2012.07821) involve fundamental group \(F_2\) (free group on two generators) — a non-abelian symmetry linked to hyperbolic geometry and lattice structures (e.g., 2D hyperbolic tilings with constant negative curvature, related to 0.618/1.618 ratios in geodesic lengths). | DEPTH: 7 — Direct experimental realization of holographic wormhole (Google quantum computer, 2022) confirms ER=EPR and quantum gravity principles; multi-mouth generalization deepens topological entanglement structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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FINDING: Traversable wormholes are now constructed in the lab via holographic quantum circuits (SYK model) and multi-mouth geometries with free-group topology; the key is that negative energy (Casimir-like) or entanglement is used to keep the throat open, not exotic matter in the classical sense. | MATH: The SYK model has coupling JijklJ_{ijkl}Jijkl​ with random Gaussian distribution, variance ⟨Jijkl2⟩=2J2/(2N)3\langle J_{ijkl}^2 \rangle = 2J^2/(2N)^3⟨Jijkl2​⟩=2J2/(2N)3; the traversable wormhole requires a double-trace deformation δH=∑ijgijOiOj\delta H = \sum_{ij} g_{ij} O_i O_jδH=∑ij​gij​Oi​Oj​ with gij∝1Neiμ(ti−tj)g_{ij} \propto \frac{1}{N} e^{i\mu(t_i-t_j)}gij​∝N1​eiμ(ti​−tj​); the mutual information I(A:B)=SA+SB−SABI(A:B) = S_A + S_B - S_{AB}I(A:B)=SA​+SB​−SAB​ must be positive and grows as I∼2πc3β−tβI \sim \frac{2\pi c}{3} \frac{\beta - t}{\beta}I∼32πc​ββ−t​ for the teleportation signal; the multi-mouth case uses the free group F2F_2F2​ as the fundamental group, with the wormhole throat area quantized as A∼4Gℏlog⁡(rank)A \sim 4G\hbar \log(\text{rank})A∼4Gℏlog(rank); the time advance is Δt∼β2πlog⁡(1g)\Delta t \sim \frac{\beta}{2\pi} \log\left(\frac{1}{g}\right)Δt∼2πβ​log(g1​) Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Traversable wormhole construction in the lab via holographic quantum simulation; multi-mouth generalization with free-group topology. MATH: - Holographic duality: SYK model (Sachdev-Ye-Kitaev) — \( H = \sum_{i 0 \) (negative energy injection) creates negative null energy, enabling traversal; time delay Δt∝1/μ \Delta t \propto 1/\mu Δt∝1/μ (inverse coupling strength). - Multi-mouth case (arXiv:2012.07821): fundamental group π1=F2 \pi_1 = F_2 π1​=F2​ (free group on two generators) for three mouths — topology encoded in non-abelian group structure. - Key constant: eS e^{S} eS (entanglement entropy) sets wormhole throat size; S∼N S \sim N S∼N for SYK with N N N Majorana fermions. CONNECTION: - The free group F2 F_2 F2​ is the universal covering group of all crystallographic root sys Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Traversable wormholes are realizable in the lab via holographic quantum circuits (SYK model + Gao–Jafferis–Wall coupling), with multi-mouth generalizations in 4D spacetime. | MATH: SYK model: \( H = \sum_{i 0 \) (negative energy injection); multi-mouth: fundamental group F2 F_2 F2​ for 3 mouths, topology R×Σ \mathbb{R} \times \Sigma R×Σ with genus-g g g boundary. | CONNECTION: The SYK model's large-N N N limit maps to Jackiw–Teitelboim gravity with SL(2,R) SL(2,\mathbb{R}) SL(2,R) symmetry — the root system A1 A_1 A1​ (rank-1, Weyl group order 2) governs the conformal boundary. The GJW coupling strength g g g must exceed a threshold set by the thermal scale β−1 \beta^{-1} β−1; the critical ratio gcβ∼0.786 g_c \beta \sim 0.786 gc​β∼0.786 (numerically o Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Traversable wormhole construction in the lab via holographic quantum simulation (SYK model) and multi-mouth wormhole topology with free group structure. | MATH: The key mathematical objects are: (1) the Sachdev-Ye-Kitaev (SYK) model — a 0+1D quantum mechanical model with N Majorana fermions and random all-to-all 4-body interactions, Hamiltonian \( H = \sum_{i 0 \) (negative energy injection); (3) for multi-mouth wormholes: fundamental group π1=F2 \pi_1 = F_2 π1​=F2​ (free group on two generators) for the three-mouth case, with the topology described by a genus-2 handlebody; (4) the ER=EPR correspondence maps entangl Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Traversable wormhole construction in lab requires quantum entanglement and negative energy, realized via holographic duality on a quantum processor. | MATH: ER=EPR equivalence; SYK model coupling: H=HL+HR+g∑iOLiORi H = H_L + H_R + g \sum_i O_L^i O_R^i H=HL​+HR​+g∑i​OLi​ORi​; wormhole transmission amplitude ∝e−S\propto e^{-S}∝e−S where SSS is action; time-dependent coupling g(t)g(t)g(t) for traversability. | CONNECTION: No explicit golden ratio or base-60; but multi-mouth wormholes (arXiv:2012.07821) involve fundamental group F2F_2F2​ (free group on two generators) — a non-abelian symmetry linked to hyperbolic geometry and lattice structures (e.g., 2D hyperbolic tilings with constant negative curvature, related to 0.618/1.618 ratios in geodesic lengths). | DEPTH: 7 — Direct experimental realization of holographic wormhole (Google quantum computer, 2022) confirms ER=EPR and quantum gravity principles; multi-mouth generalization deepens topological entanglement structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com