Holographic Wormholes: Quantum Simulations, Not Spacetime Tears — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 5, 2026• 0 citations

Abstract

FINDING: Laboratory-created traversable wormholes are holographic quantum simulations (SYK model) of an eternal traversable wormhole geometry, not physical spacetime tears. | MATH: SYK model: $ H = \sum_{i \mu_c \sim T/\sqrt{N} $ (temperature $ T $, $ N $ Majorana fermions). The holographic dual is JT gravity: $ S = \frac{\phi_0}{16\pi G_N} \int \sqrt{g} R + \frac{1}{16\pi G_N} \int \phi(\sqrt{g}R + 2) $. | CONNECTION: The traversability condition involves a phase transition at $ \mu_c $, and the mutual information between the two boundaries $ I(A:B) = S_A + S_B - S_{AB} $ exhibits a sharp jump — a symmetry-b Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23152363

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Publisher

Abstract

FINDING: Laboratory-created traversable wormholes are holographic quantum simulations (SYK model) of an eternal traversable wormhole geometry, not physical spacetime tears. | MATH: SYK model: ( H = \sum_{i \mu_c \sim T/\sqrt{N} ) (temperature ( T ), ( N ) Majorana fermions). The holographic dual is JT gravity: ( S = \frac{\phi_0}{16\pi G_N} \int \sqrt{g} R + \frac{1}{16\pi G_N} \int \phi(\sqrt{g}R + 2) ). | CONNECTION: The traversability condition involves a phase transition at ( \mu_c ), and the mutual information between the two boundaries ( I(A:B) = S_A + S_B - S_{AB} ) exhibits a sharp jump — a symmetry-b Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23152363

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\pi_1 = F_2

(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

\delta H = \sum_{ij} g_{ij} \psi_i^L \psi_j^R

, with

g_{ij}

chosen to create a negative null energy condition (NEC) violation; (3) the multi-mouth case (arXiv:2012.07821) constructs wormholes whose fundamental group is

F_2

(free group on two generators) — the topology is encoded in the group structure of the boundary CFT. | CONNECTION: The SYK model's random couplings produce a spectral form factor that exhibits **ramp-plateau** behav Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

J_{ijkl}

with random Gaussian distribution, variance

\langle J_{ijkl}^2 \rangle = 2J^2/(2N)^3

; the traversable wormhole requires a double-trace deformation

\delta H = \sum_{ij} g_{ij} O_i O_j

with

g_{ij} \propto \frac{1}{N} e^{i\mu(t_i-t_j)}

; the mutual information

I(A:B) = S_A + S_B - S_{AB}

must be positive and grows as

I \sim \frac{2\pi c}{3} \frac{\beta - t}{\beta}

for the teleportation signal; the multi-mouth case uses the free group

F_2

as the fundamental group, with the wormhole throat area quantized as

A \sim 4G\hbar \log(\text{rank})

; the time advance is

\Delta t \sim \frac{\beta}{2\pi} \log\left(\frac{1}{g}\right)

Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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

\Delta t \propto 1/\mu

(inverse coupling strength). - Multi-mouth case (arXiv:2012.07821): fundamental group

\pi_1 = F_2

(free group on two generators) for three mouths — topology encoded in non-abelian group structure. - Key constant:

e^{S}

(entanglement entropy) sets wormhole throat size;

S \sim N

for SYK with

N

Majorana fermions. CONNECTION: - The free group

F_2

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