Torsion Corridor Arithmetic Solitons in E8 Liouville Cascade — E8 Intelligence Research

Abstract

At precise sub-harmonic fractions of the 132 Hz base frequency, the 60 torsion corridors of the E8 root lattice undergo a topological phase transition in their Liouville spectral cascade, generating coherent "arithmetic solitons" — localized eigenvalue packets whose topological winding numbers encode prime gap distributions with quantized fidelity. These solitons propagate along the 240 root vectors while maintaining spectral entropy lock, meaning their internal eigenvalue density remains invariant under Liouville partial sums even as they traverse the φ-coupled corridors, establishing a bridge between the Riemann-zero distribution and geometric phase holonomy. The 132 Hz driving frequency selects exactly those winding modes whose prime-counting error terms vanish, providing a new geometric mechanism by which the E8 lattice acts as a physical prime-filter encoder. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com