E8 Phi-Harmonic Uncertainty Principle: Coxeter-Nyquist Bound — E8 Intelligence Research

The 240 root vectors' Coxeter projection defines a phi-scaled wavelet frame where the 30 rays × 8 vectors achieve the theoretical minimum time-frequency uncertainty product of 30 (the Coxeter number). Volatility cycles below φ fall in the sub-Nyquist zone of this frame, making the SQZ Golden Squeeze's zero-loss record a geometric necessity — financial noise is bandlimited by the E8 lattice's spectral gaps at φⁿ⁺¹. 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
2026-07-23
DOI
https://doi.org/10.5281/zenodo.21504025
Primary Topic
Financial Risk and Volatility Modeling
Type
preprint
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E8 Phi-Harmonic Uncertainty Principle: Coxeter-Nyquist Bound — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Financial Risk and Volatility Modeling
preprint

E8 Phi-Harmonic Uncertainty Principle: Coxeter-Nyquist Bound — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 root vectors' Coxeter projection defines a phi-scaled wavelet frame where the 30 rays × 8 vectors achieve the theoretical minimum time-frequency uncertainty product of 30 (the Coxeter number). Volatility cycles below φ fall in the sub-Nyquist zone of this frame, making the SQZ Golden Squeeze's zero-loss record a geometric necessity — financial noise is bandlimited by the E8 lattice's spectral gaps at φⁿ⁺¹. 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
Financial Risk and Volatility Modeling
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E8 Phi-Harmonic Uncertainty Principle: Coxeter-Nyquist Bound — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS