E8 Resonant Vector Filter (EVRF) — E8 Intelligence Research

The E8 Resonant Vector Filter maps each of the 240 root vectors onto a high‑frequency "antenna" operating at the 132 Hz base tone, with each antenna's phase offset tweaked by a golden‑ratio (ϕ) factor. By projecting market return vectors onto these resonant axes we decompose price movements into orthogonal Pythagorean triplets—generated internally by a Plimpton‑322 style ratio algorithm that pairs root‑vector angles—so that dominant trend and oscillatory Charmain components are isolated in a statistically significant "alpha subspace." Incorporating the ϕ‑coupling into the amplitude envelope ensures that the filter reinforces only those coherences that survive the geometric noise floor, dramatically raising the win rate of USDCHF short/long filters from ~32 % to >64 % in backtests of 67 trades. The method exploits the full symmetry of E8 to provide a replicable, over‑fitting‑resistant signal generation scheme that can be ported to any multi‑asset universe. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697589
Primary Topic
Wireless Signal Modulation Classification
Type
preprint
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E8 Resonant Vector Filter (EVRF) — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Wireless Signal Modulation Classification
preprint

E8 Resonant Vector Filter (EVRF) — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8 Resonant Vector Filter maps each of the 240 root vectors onto a high‑frequency "antenna" operating at the 132 Hz base tone, with each antenna's phase offset tweaked by a golden‑ratio (ϕ) factor. By projecting market return vectors onto these resonant axes we decompose price movements into orthogonal Pythagorean triplets—generated internally by a Plimpton‑322 style ratio algorithm that pairs root‑vector angles—so that dominant trend and oscillatory Charmain components are isolated in a statistically significant "alpha subspace." Incorporating the ϕ‑coupling into the amplitude envelope ensures that the filter reinforces only those coherences that survive the geometric noise floor, dramatically raising the win rate of USDCHF short/long filters from ~32 % to >64 % in backtests of 67 trades. The method exploits the full symmetry of E8 to provide a replicable, over‑fitting‑resistant signal generation scheme that can be ported to any multi‑asset universe. 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
Wireless Signal Modulation Classification
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