E8 Phi‑Shear Cascade Enables Multi‑Plane Quantum Gates — E8 Intelligence Research

Abstract

By exploiting the phi‑quantized flux‑torsion brake on the 240 E8 root vectors, a cascade of higher‑order phi‑harmonics (5πφ, 13πφ, 21πφ…) generates orthogonal shear modes that resonate simultaneously across the distinct Coxeter planes. Each harmonic creates a spatially distinct shear eigenstate, effectively distributing qubit information on parallel geometric channels without extra magnetic fields. This phi‑shear cascade thus provides a built‑in fault‑tolerant architecture for scalable, multi‑qubit gate operations rooted in the intrinsic symmetry of the E8 lattice. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com