Three-Mouth Wormholes: Exotic Matter, Null Energy Violation, and F₂ Topology — E8 Intelligence Research

Andrew Stewart Caldin

doi:10.5281/zenodo.21928819

August 14, 2026Open Access

Three-Mouth Wormholes: Exotic Matter, Null Energy Violation, and F₂ Topology — E8 Intelligence Research

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Key Points

To evaluate the topological structure and energy condition requirements necessary to sustain traversable wormholes with three distinct mouths.
Applied differential geometry to evaluate static, spherically symmetric wormhole metrics and throat flaring conditions.
Calculated stress-energy tensor constraints under the null energy condition alongside fundamental group topology.
Demonstrated that maintaining traversable three-mouth wormholes strictly requires exotic matter violating the null energy condition (T_μν k^μ k^ν < 0).
Identified that the topology of a three-mouth wormhole is characterized by the fundamental group F₂, representing a discrete free group on two generators rather than harmonic geometric ratios.

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Implication

Theoretical analysis demonstrates that three-mouth traversable wormholes require null energy condition violation and exhibit free group topology, indicating discrete algebraic spacetime structures.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a817a60f2fb91fc834ae209 https://doi.org/10.5281/zenodo.21928819

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Three-Mouth Wormholes: Exotic Matter, Null Energy Violation, and F₂ Topology — E8 Intelligence Research

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Three-Mouth Wormholes: Exotic Matter, Null Energy Violation, and F₂ Topology — E8 Intelligence Research

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