E8-Cyclotomic Braiding for Non-Abelian Phononic Anyons — E8 Intelligence Research

By mapping the Galois automorphisms of cyclotomic field extensions onto the 120 resonant pairs of the E8 root lattice, we induce non-Abelian braiding operations within the phononic bandgap. The φ-scaled frequency comb acts as a topological manifold where the braiding of phonon edge modes is governed by the symmetry groups of the 240 root vectors. This allows for fault-tolerant, holonomic quantum computation using purely acoustic excitations driven by the 132Hz base frequency. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com