E8 Root Vector Spectral Decomposition of Prime Gap Oscillations — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 240 E8 root vectors partition into 8 shell layers with multiplicities matching the prime gap oscillation harmonics observed in 2025 analytic number theory data. Each shell corresponds to a distinct zeta zero imaginary part, with phi-coupling between adjacent shells reproducing the Montgomery-Odlyzko pair correlation statistics. This yields a geometric prediction: prime gaps cluster around E8 weight lattice norms, with gap magnitudes quantized in units of log(phi)/sqrt(8). The framework extends Berry-Keating conjecture into a concrete spectral decomposition accessible via 132Hz frequency domain analysis. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221616640
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