Quantum Wormholes Built: Lab Traversability via SYK and Free-Group Topology — E8 Intelligence Research

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 \( δ H = ∑ᵢⱼ gᵢⱼ ψ_i^L ψ_j^R \), 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 \( F_2 \) (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