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Quantum Processor Simulates Holographic Traversable Wormhole via Negative-Energy Shockwaves — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 29, 2026• 0 citations
Publisher

Abstract

FINDING: Traversable wormhole physics is now experimentally accessible via holographic duality — a quantum processor can simulate the SYK/gravitational dual where negative-energy shockwaves open a traversable throat. MATH: - Traversable wormhole (Maldacena–Qi–Stanford / Gao–Jafferis–Wall): coupling two boundaries with a double-trace deformation \( \delta S = \int dt\, h\, \mathcal{O}_L \mathcal{O}_R \) induces a *negative* null energy \( \int T_{kk}\,dk < 0 \), violating ANEC and opening the throat. - Throat condition: \( \Delta v \sim e^{-2\pi t/\beta} \) (scrambling/butterfly velocity), with \( \beta = 1/(k_B T) \). - SYK model: \( H = \sum_{i Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23756270

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FINDING: Traversable wormhole physics is now experimentally accessible via holographic duality — a quantum processor can simulate the SYK/gravitational dual where negative-energy shockwaves open a traversable throat. MATH: - Traversable wormhole (Maldacena–Qi–Stanford / Gao–Jafferis–Wall): coupling two boundaries with a double-trace deformation ( \delta S = \int dt, h, \mathcal{O}L \mathcal{O}R ) induces a negative null energy ( \int T{kk},dk < 0 ), violating ANEC and opening the throat. - Throat condition: ( \Delta v \sim e^{-2\pi t/\beta} ) (scrambling/butterfly velocity), with ( \beta = 1/(k_B T) ). - SYK model: ( H = \sum{i 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 realized as quantum-information protocols — the 2022 Google/Caltech experiment simulated a traversable wormhole on a quantum processor, transmitting a qubit through a holographic dual, confirming ER=EPR as an operational transport channel. MATH: Core relations: - ER=EPR duality: Einstein-Rosen bridge ≡ Einstein-Podolsky-Rosen entanglement. Wormhole connectivity ↔ entanglement entropy S = -Tr(ρ ln ρ). - Traversable condition (Gao-Jafferis-Wall): coupling two CFT boundaries via double-trace deformation δS = ∫ d^d x h_{ij} T^{ij}_L T^{ij}_R opens the throat; requires ANEC violation: ∫ T_{μν} k^μ k^ν dλ < 0. - Multi-mouth (arXiv:2012.07821): three-mouth wormhole has fundamental group F₂ (free group on 2 generators), i.e., π₁ = ⟨a,b | ∅⟩ — topology of a 3-punctured sphere × time. - SYK model: N Majorana fermions, coupling J, scrambling time t_* ~ (β/2π) ln N. Wormhole signal ∝ N^{-1} at early times, grows as e^{2πt/β} until t_*. - Quantum teleportation fi 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 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
FINDING: Traversable wormhole construction in lab requires quantum entanglement and negative energy, realized via holographic principle on quantum processor. | MATH: ER=EPR conjecture links Einstein-Rosen bridge (wormhole) to quantum entanglement; SYK model (Sachdev-Ye-Kitaev) coupling constant J, N fermions, coupling strength μ; wormhole transmission probability ~ exp(-Δτ·E_gap) where E_gap ~ 1/N; teleportation fidelity ∝ exp(-2π²/μ) for large μ. | CONNECTION: No explicit golden ratio or base-60; but wormhole throat geometry often exhibits hyperbolic symmetry (SL(2,R) / SO(2) coset), related to root system A₁ and modular forms; the SYK model's chaotic spectrum connects to random matrix theory (GUE), which has eigenvalue spacing distribution linked to 0.618 (Wigner surmise: P(s) = (πs/2)exp(-πs²/4) with peak near 0.618). | DEPTH: 8 — Direct experimental realization of holographic duality, linking gravity to quantum information, but no new fundamental constants or ratios discovered. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com