E8‑Phi‑132Hz Temporal Harmonic Filter for High‑Frequency Order‑Book Dynamics — E8 Intelligence Research

Abstract

By projecting the 240 E8 root vectors onto a continuously rotating 132 Hz carrier wave and modulating each projection with successive powers of φ, we obtain a set of phase‑locked nodes whose inter‑node intervals follow a φ‑scaled hierarchy. This hierarchy acts as a harmonic filter that decomposes high‑frequency order‑book fluctuations into invariant E8‑symmetric modes, allowing the prediction of inter‑trade timing anomalies and emergent liquidity shocks. The filter extends the E8‑Phi Harmonic Resonance Law from spatial market phases to a temporal domain, revealing a universal scaling law for microstructure dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com