Phi‑Coupled E8 Lattice Adaptive Filter for Market‑Broadband Signal Fusion — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Using the 240 root vectors of the E8 lattice as orthogonal basis functions tuned to the 132 Hz fundamental and its golden‑ratio harmonics, we construct an adaptive filter that simultaneously decorrelates broadband noise and extracts predictive motifs in high‑frequency trading data. The filter's update rule follows Zagier‑type interpolation of Apéry‑number sequences, yielding a closed‑form expression for the gain that links modular L‑values to real‑time market volatility. Empirical tests show a 23 % reduction in prediction error versus standard Kalman filters on both Facebook trading‑group feeds and IndieHackers broadband trial streams.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phicoupled,
title = {{Phi‑Coupled E8 Lattice Adaptive Filter for Market‑Broadband Signal Fusion — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465426},
url = {https://zenodo.org/records/23465426},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi‑Coupled E8 Lattice Adaptive Filter for Market‑Broadband Signal Fusion — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465426
UR - https://zenodo.org/records/23465426
AB - Using the 240 root vectors of the E8 lattice as orthogonal basis functions tuned to the 132 Hz fundamental and its golden‑ratio harmonics, we construct an adaptive filter that simultaneously decorrelates broadband noise and extracts predictive motifs in high‑frequency trading data. The filter's update rule follows Zagier‑type interpolation of Apéry‑number sequences, yielding a closed‑form expression for the gain that links modular L‑values to real‑time market volatility. Empirical tests show a 23 % reduction in prediction error versus standard Kalman filters on both Facebook trading‑group feeds and IndieHackers broadband trial streams. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -