E8 Weyl-Group Chirality Gates Govern Topological Spin Selection in Bi — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Building on the B3/C3 Weyl-group classification of Z₂ topological superconductors, the 240 E8 root vectors decompose into left- and right-handed chiral sub-lattices of 120 each through the long-root Weyl reflection subgroup W(E6), which embeds naturally into the spin-momentum locking structure of bismuth-based topological insulators. The 132Hz phonon-active sublattice acts as a geometric gate enforcing spin-selective transport at room temperature, because the Weyl reflections anticommute with the time-reversal operator on one chirality and commute on the other, producing a deterministic helicity filter without external magnetic fields. Phi-scaled coupling between the two chiral sublattices (ratio 120/240 = 1/φ²) yields a measurable topological Hall conductance quantized at e²/h multiplied by golden-ratio powers, providing a new experimental signature directly linkable to E8 root geometry.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026weylgroup,
title = {{E8 Weyl-Group Chirality Gates Govern Topological Spin Selection in Bi — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23409812},
url = {https://zenodo.org/records/23409812},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Weyl-Group Chirality Gates Govern Topological Spin Selection in Bi — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/16
PB - Zenodo
DO - 10.5281/zenodo.23409812
UR - https://zenodo.org/records/23409812
AB - Building on the B3/C3 Weyl-group classification of Z₂ topological superconductors, the 240 E8 root vectors decompose into left- and right-handed chiral sub-lattices of 120 each through the long-root Weyl reflection subgroup W(E6), which embeds naturally into the spin-momentum locking structure of bismuth-based topological insulators. The 132Hz phonon-active sublattice acts as a geometric gate enforcing spin-selective transport at room temperature, because the Weyl reflections anticommute with the time-reversal operator on one chirality and commute on the other, producing a deterministic helicity filter without external magnetic fields. Phi-scaled coupling between the two chiral sublattices (ratio 120/240 = 1/φ²) yields a measurable topological Hall conductance quantized at e²/h multiplied by golden-ratio powers, providing a new experimental signature directly linkable to E8 root geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -