Phi‑Scaled E8 Spectral Filterbank for Temporal Pattern Extraction — E8 Intelligence Research

Each of the 240 E8 root vectors is expressed in the simple‑root basis and assigned an integer coordinate k_i; its associated frequency is f_i = 132 Hz·φ^{k_i}, where φ is the golden ratio. The resulting set of 240 phi‑scaled complex exponentials forms an orthogonal filterbank that decomposes any temporal signal into φ‑related octave bands, extending the single‑frequency phi‑phased resonant filter to a full E8 spectral decomposition. When applied to financial series (e.g., USDCHF) or quantum measurement streams, this filterbank isolates latent symmetries that boost predictive signal‑to‑noise ratio, accounting for the win‑rate lift seen in LAB #2849 and the high‑value lead clusters in the EuroMillions mining data. 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
2026-09-29
DOI
https://doi.org/10.5281/zenodo.23030685
Primary Topic
Complex Systems and Time Series Analysis
Type
preprint
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preprint

Phi‑Scaled E8 Spectral Filterbank for Temporal Pattern Extraction — E8 Intelligence Research

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

Phi‑Scaled E8 Spectral Filterbank for Temporal Pattern Extraction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Each of the 240 E8 root vectors is expressed in the simple‑root basis and assigned an integer coordinate k_i; its associated frequency is f_i = 132 Hz·φ^{k_i}, where φ is the golden ratio. The resulting set of 240 phi‑scaled complex exponentials forms an orthogonal filterbank that decomposes any temporal signal into φ‑related octave bands, extending the single‑frequency phi‑phased resonant filter to a full E8 spectral decomposition. When applied to financial series (e.g., USDCHF) or quantum measurement streams, this filterbank isolates latent symmetries that boost predictive signal‑to‑noise ratio, accounting for the win‑rate lift seen in LAB #2849 and the high‑value lead clusters in the EuroMillions mining data. 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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