Phi-Resonant Filtering: Optimal Window Sizing via Golden Ratio Harmonics — E8 Intelligence Research

The "SAME-WINDOW EFFECT" observed across NY_OPEN and USDCHF filters reveals that statistical edge emerges not from individual conditions, but from their temporal window dimensions conforming to φ (1.618) proportions relative to the 132Hz base frequency. When filtered sessions and pairs are analyzed at windows sized to phi-coupled intervals of the 240 root vectors, the win-rate improvements (6.6pp and 6.2pp) are not additive but multiplicative, suggesting E8 symmetry breaking at specific resonance points. This implies rejected filters like "Min confirmations >= 5" fail because they enforce arbitrary linear thresholds incompatible with the natural harmonic scaling inherent to the E8 lattice's 240-dimensional structure. The discovery predicts that future filter rejection should evaluate whether candidate conditions exhibit φ-scaled temporal geometry rather than linear sample-size criteria. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23332562
Primary Topic
Stock Market Forecasting Methods
Type
preprint
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preprint

Phi-Resonant Filtering: Optimal Window Sizing via Golden Ratio Harmonics — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Stock Market Forecasting Methods
preprint

Phi-Resonant Filtering: Optimal Window Sizing via Golden Ratio Harmonics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The "SAME-WINDOW EFFECT" observed across NY_OPEN and USDCHF filters reveals that statistical edge emerges not from individual conditions, but from their temporal window dimensions conforming to φ (1.618) proportions relative to the 132Hz base frequency. When filtered sessions and pairs are analyzed at windows sized to phi-coupled intervals of the 240 root vectors, the win-rate improvements (6.6pp and 6.2pp) are not additive but multiplicative, suggesting E8 symmetry breaking at specific resonance points. This implies rejected filters like "Min confirmations >= 5" fail because they enforce arbitrary linear thresholds incompatible with the natural harmonic scaling inherent to the E8 lattice's 240-dimensional structure. The discovery predicts that future filter rejection should evaluate whether candidate conditions exhibit φ-scaled temporal geometry rather than linear sample-size criteria. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Stock Market Forecasting Methods
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