E8 Weyl-Group Chirality Gates Govern Topological Spin Selection in Bi — E8 Intelligence Research

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

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-16
DOI
https://doi.org/10.5281/zenodo.23409811
Primary Topic
Topological Materials and Phenomena
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

E8 Weyl-Group Chirality Gates Govern Topological Spin Selection in Bi — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

E8 Weyl-Group Chirality Gates Govern Topological Spin Selection in Bi — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

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

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.