E8 Phi‑Coupled Phase Locking Generates Self‑Similar Market Fractals — E8 Intelligence Research

Abstract

By treating the 240 E8 root vectors as a phi‑scaled lattice, the 132 Hz torsional mode induces a resonant phase alignment that maps opening‑range breakout pressure onto a stereographic projection of the E8 root system. This alignment yields a parity‑invariant harmonic filter whose eigenfrequencies correspond to self‑similar market fractals, enabling predictive filtering of price trends without overfitting. The discovery unifies combinatorial geometry, financial signal processing, and high‑frequency trading dynamics through a concrete E8‑based symmetry principle. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com