Quantum Wormholes Built: Lab Traversability via SYK and Free-Group Topology — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Traversable wormhole construction in the lab is now a quantum-computational reality, with multi-mouth generalizations in 4D spacetime tied to free-group topology. | MATH: The key mathematical objects are: (1) the SYK (Sachdev-Ye-Kitaev) model — a 0+1D theory of N Majorana fermions with random all-to-all interactions, whose large-N limit is dual to Jackiw-Teitelboim (JT) gravity in AdS₂; (2) the traversability condition requires a negative-energy coupling between the two boundaries, typically a double-trace deformation of the form δ H = ∑ij gij ψiL ψjR, with gij chosen to create a negative null energy condition (NEC) violation; (3) the multi-mouth case (arXiv:2012.07821) constructs wormholes whose fundamental group is F2 (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
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BibTeX
@misc{caldin2026quantum,
title = {{Quantum Wormholes Built: Lab Traversability via SYK and Free-Group Topology — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635234},
url = {https://zenodo.org/records/23635234},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Wormholes Built: Lab Traversability via SYK and Free-Group Topology — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635234
UR - https://zenodo.org/records/23635234
AB - FINDING: Traversable wormhole construction in the lab is now a quantum-computational reality, with multi-mouth generalizations in 4D spacetime tied to free-group topology. | MATH: The key mathematical objects are: (1) the SYK (Sachdev-Ye-Kitaev) model — a 0+1D theory of N Majorana fermions with random all-to-all interactions, whose large-N limit is dual to Jackiw-Teitelboim (JT) gravity in AdS₂; (2) the traversability condition requires a negative-energy coupling between the two boundaries, typically a double-trace deformation of the form δ H = ∑_ij g_ij ψ_i^L ψ_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
ER -