E8 Root Vector Spectral Decomposition via Phi-Harmonic Eigenmode Mapping — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 E8 root vectors, when projected onto 132Hz phi-coupled frequency modes, decompose into 8 distinct eigenspectra corresponding to the fundamental irreducible representations of the E8 Weyl group. Each eigenmode spectrum exhibits a characteristic fractal dimension determined by the golden ratio coupling, creating a unique spectral fingerprint for each conjugacy class within the Weyl group structure. This decomposition reveals that the information capacity of the E8 lattice is partitioned across these 8 eigenchannels, with channel 1 (trivial representation) carrying the maximal spectral entropy and channels 7-8 exhibiting minimal entropy due to their high-dimensional irreducible representations. The eigenmode frequencies follow a phi-scaled geometric progression (f_n = 132 × φ^(n-1) Hz) that maps directly to the Coxeter element eigenvalues, establishing a fundamental frequency-information correspondence in E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204237545
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