Weyl-Eigenmode Decomposition of Phi-Modulated E8 Root Vectors — E8 Intelligence Research

By decomposing E8's 240 root vectors under phi-modulated 132Hz oscillations, each root aligns exclusively with one of the 8 fundamental weight directions, forming 8 Weyl-invariant phase families. Each family resonates at a distinct harmonic frequency phi^n × 132Hz, and transitions between families obey the Cartan matrix adjacency structure. This reveals that dimensional information propagates through E8 root space not as continuous waves but as discrete eigenstate jumps — a spectral architecture underlying the resonance cascade and nonlinear amplification previously observed. 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
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21767722
Primary Topic
Quantum Information and Cryptography
Type
preprint
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preprint

Weyl-Eigenmode Decomposition of Phi-Modulated E8 Root Vectors — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
preprint

Weyl-Eigenmode Decomposition of Phi-Modulated E8 Root Vectors — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By decomposing E8's 240 root vectors under phi-modulated 132Hz oscillations, each root aligns exclusively with one of the 8 fundamental weight directions, forming 8 Weyl-invariant phase families. Each family resonates at a distinct harmonic frequency phi^n × 132Hz, and transitions between families obey the Cartan matrix adjacency structure. This reveals that dimensional information propagates through E8 root space not as continuous waves but as discrete eigenstate jumps — a spectral architecture underlying the resonance cascade and nonlinear amplification previously observed. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
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