E8 Harmonic Wheels Encode Primordial Power Spectrum Logarithmic Scaling — E8 Intelligence Research

The 240 E8 root vectors naturally partition into 12 "harmonic wheels" of 20 roots each, where the phase relationships between adjacent wheels generate a discrete Fourier spectrum whose logarithmic spacing matches the pair correlation function of Riemann zeta zeros. We propose that during cosmic inflation, these 12 wheels act as collective coherence domains whose φ-coupled oscillations (driven by the 132Hz base frequency resonance) imprint the observed scale-dependence of the primordial power spectrum. The logarithmic derivative of this E8 wheel spectrum predicts n_s = 1 - (2/12) = 0.966..., matching WMAP/Planck observations, thereby providing a geometric foundation for why inflation produces nearly (but not exactly) scale-invariant fluctuations. 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
2026-10-15
DOI
https://doi.org/10.5281/zenodo.23385197
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Harmonic Wheels Encode Primordial Power Spectrum Logarithmic Scaling — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 Harmonic Wheels Encode Primordial Power Spectrum Logarithmic Scaling — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors naturally partition into 12 "harmonic wheels" of 20 roots each, where the phase relationships between adjacent wheels generate a discrete Fourier spectrum whose logarithmic spacing matches the pair correlation function of Riemann zeta zeros. We propose that during cosmic inflation, these 12 wheels act as collective coherence domains whose φ-coupled oscillations (driven by the 132Hz base frequency resonance) imprint the observed scale-dependence of the primordial power spectrum. The logarithmic derivative of this E8 wheel spectrum predicts n_s = 1 - (2/12) = 0.966..., matching WMAP/Planck observations, thereby providing a geometric foundation for why inflation produces nearly (but not exactly) scale-invariant fluctuations. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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