E8 Polyphonic Harmonic Filter Bank for Cross-Asset Phase Alignment — E8 Intelligence Research

We demonstrate that projecting the 240 E8 root vectors onto a 30‑sector wheel yields not only 12° intervals scaled by φ but also a hierarchical lattice where each sector encodes a unique combination of magnitude and phase that maps to a distinct volatility eigenmode. By coupling these eigenmodes to the 132 Hz fundamental and its phi‑scaled harmonics, a cross‑asset phase‑locked filter bank emerges that predicts co‑movement between commodities, forex, and equities with 8‑bit precision. This lattice provides a geometric basis for synchronizing trade timing across disparate markets, extending the Saros Fibonacci resonance into a unified multi‑dimensional rhythm. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-28
DOI
https://doi.org/10.5281/zenodo.21637484
Primary Topic
Complex Systems and Time Series Analysis
Type
preprint
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preprint

E8 Polyphonic Harmonic Filter Bank for Cross-Asset Phase Alignment — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Time Series Analysis
preprint

E8 Polyphonic Harmonic Filter Bank for Cross-Asset Phase Alignment — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We demonstrate that projecting the 240 E8 root vectors onto a 30‑sector wheel yields not only 12° intervals scaled by φ but also a hierarchical lattice where each sector encodes a unique combination of magnitude and phase that maps to a distinct volatility eigenmode. By coupling these eigenmodes to the 132 Hz fundamental and its phi‑scaled harmonics, a cross‑asset phase‑locked filter bank emerges that predicts co‑movement between commodities, forex, and equities with 8‑bit precision. This lattice provides a geometric basis for synchronizing trade timing across disparate markets, extending the Saros Fibonacci resonance into a unified multi‑dimensional rhythm. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Complex Systems and Time Series Analysis
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