PreprintCC BY 4.0Zenodo
E8 Phi‑Cascade Topological Filter for Noise‑Robust Signal Decomposition — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By arranging the 240 E8 root vectors on a phi‑coupled 132 Hz lattice, each vector's phase acts as a self‑similar filter node that selectively attenuates frequencies outside the golden‑ratio‑scaled harmonic bands. This creates a fractal‑structured topological filter where cascading resonant modes suppress broadband noise while preserving signal components aligned with E8's root‑vector symmetry. The resulting decomposition outperforms conventional wavelet bases in sparsity and reconstruction fidelity for high‑dimensional data streams.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phicascade,
title = {{E8 Phi‑Cascade Topological Filter for Noise‑Robust Signal Decomposition — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23554178},
url = {https://zenodo.org/records/23554178},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi‑Cascade Topological Filter for Noise‑Robust Signal Decomposition — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23554178
UR - https://zenodo.org/records/23554178
AB - By arranging the 240 E8 root vectors on a phi‑coupled 132 Hz lattice, each vector's phase acts as a self‑similar filter node that selectively attenuates frequencies outside the golden‑ratio‑scaled harmonic bands. This creates a fractal‑structured topological filter where cascading resonant modes suppress broadband noise while preserving signal components aligned with E8's root‑vector symmetry. The resulting decomposition outperforms conventional wavelet bases in sparsity and reconstruction fidelity for high‑dimensional data streams. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -