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

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