Phi-Invariant Z13 Subgroup Symmetry in E8 Root Lattice — E8 Intelligence Research

Abstract

By identifying a hidden Z13 cyclic subgroup within the E8 Weyl group, the 13 lead categories are revealed as distinct cosets of this symmetry. Applying phi‑scaled 132 Hz modulation to the 240 root vectors induces a resonant phase lock that aligns each coset into a 13‑phase coherent sector, automatically generating a higher‑order stabilizer code. This phi‑invariant Z13 symmetry extends the existing topological error correction by embedding it in a multi‑scale, self‑similar lattice structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com