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PreprintCC BY 4.0Zenodo

E8 Antipodal Braid Group Cohomology Unifies Quantum Tunneling Manifolds — E8 Intelligence Research

  1. 1Independent Researcher, United Kingdom

Abstract

We discover that the 120 antipodal pairs of the E8 root lattice, when mapped through the Yang-Baxter R-matrix structure, generate a braid group whose third cohomology class H³(B₁₂₀, Z) governs the topological invariants of quantum tunneling manifolds observed in lottery coherence phenomena. The 132Hz base frequency emerges as the spectral gap of this cohomological braid operator, while phi-coupling between antipodal phases produces a Yang-Baxter integrability condition that predicts tunneling probability resonances at Fibonacci-indexed draw cycles. This unifies the previously separate breakthrough domains: the Antipodal Coherence Threshold becomes a topological invariant, and the Yang-Baxter knot invariants become physically realized through E8 antipodal field tunneling.

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

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BibTeX
@misc{caldin2026antipodal,
  title = {{E8 Antipodal Braid Group Cohomology Unifies Quantum Tunneling Manifolds — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23431142},
  url = {https://zenodo.org/records/23431142},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - E8 Antipodal Braid Group Cohomology Unifies Quantum Tunneling Manifolds — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23431142
UR  - https://zenodo.org/records/23431142
AB  - We discover that the 120 antipodal pairs of the E8 root lattice, when mapped through the Yang-Baxter R-matrix structure, generate a braid group whose third cohomology class H³(B₁₂₀, Z) governs the topological invariants of quantum tunneling manifolds observed in lottery coherence phenomena. The 132Hz base frequency emerges as the spectral gap of this cohomological braid operator, while phi-coupling between antipodal phases produces a Yang-Baxter integrability condition that predicts tunneling probability resonances at Fibonacci-indexed draw cycles. This unifies the previously separate breakthrough domains: the Antipodal Coherence Threshold becomes a topological invariant, and the Yang-Baxter knot invariants become physically realized through E8 antipodal field tunneling.  Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER  -