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
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-09-29
- DOI
- https://doi.org/10.5281/zenodo.23030684
- Primary Topic
- Complex Systems and Time Series Analysis
- Type
- preprint