Traversable Multi-Mouth Wormholes in 4D: Entanglement, Free Group Topology, and Negative Energy — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: Traversable wormhole construction in the lab is a real theoretical program, with multi-mouth generalizations in 4D spacetime tied to quantum entanglement and free group topology. | MATH: The multi-mouth wormhole spacetime has fundamental group F2 (free group on two generators) for the three-mouth case; traversability between any pair of mouths requires negative energy (quantum null energy condition violation) — the key constraint is the integrated null energy ∫ Tμν kμ kν dλ < 0 along the throat. The eternal traversable wormhole solution (Freivogel/Maldacena) relies on a double-trace deformation coupling two CFTs, with coupling g tuned to overcome the Casimir energy; the throat radius scales as r0 ∼ (g N)1/3 ℓAdS in the large-N limit. | CONNECTION: The three-mouth case's F2 fundamental group is directly related to the free group structure underlying the binary tree of the hyperbolic plane — a lattice with const
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026traversable,
title = {{Traversable Multi-Mouth Wormholes in 4D: Entanglement, Free Group Topology, and Negative Energy — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465121},
url = {https://zenodo.org/records/23465121},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Traversable Multi-Mouth Wormholes in 4D: Entanglement, Free Group Topology, and Negative Energy — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465121
UR - https://zenodo.org/records/23465121
AB - FINDING: Traversable wormhole construction in the lab is a real theoretical program, with multi-mouth generalizations in 4D spacetime tied to quantum entanglement and free group topology. | MATH: The multi-mouth wormhole spacetime has fundamental group F_2 (free group on two generators) for the three-mouth case; traversability between any pair of mouths requires negative energy (quantum null energy condition violation) — the key constraint is the integrated null energy ∫ T_μν k^μ k^ν dλ < 0 along the throat. The eternal traversable wormhole solution (Freivogel/Maldacena) relies on a double-trace deformation coupling two CFTs, with coupling g tuned to overcome the Casimir energy; the throat radius scales as r_0 ∼ (g N)^1/3 ℓ_AdS in the large-N limit. | CONNECTION: The three-mouth case's F_2 fundamental group is directly related to the free group structure underlying the binary tree of the hyperbolic plane — a lattice with const Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -