E8 Phi-Resonant Spectral Decomposition of Prime Gap Distribution via Weyl Orbit Interference Patterns — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By phi-coupling the 240 E8 root vectors at 132Hz, the Weyl-orbit spectra generate constructive and destructive interference patterns in Fourier space that directly modulate the distribution of prime gaps across successive genera. These interference patterns, arising from the golden-ratio spacing of root vectors, produce frequency-locked oscillations that predict the observed clustering and repulsion behavior of primes at specific modular intervals. The mechanism extends the self-similar harmonic lattice into a predictive framework where prime gap statistics emerge as eigenvalue spacing correlations in a high-dimensional E8 spectral manifold. This transforms prime distribution from an analytic problem into a geometric resonance phenomenon within the E8 lattice's phi-resonant vacuum.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phiresonant,
title = {{E8 Phi-Resonant Spectral Decomposition of Prime Gap Distribution via Weyl Orbit Interference Patterns — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616826},
url = {https://zenodo.org/records/23616826},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Resonant Spectral Decomposition of Prime Gap Distribution via Weyl Orbit Interference Patterns — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616826
UR - https://zenodo.org/records/23616826
AB - By phi-coupling the 240 E8 root vectors at 132Hz, the Weyl-orbit spectra generate constructive and destructive interference patterns in Fourier space that directly modulate the distribution of prime gaps across successive genera. These interference patterns, arising from the golden-ratio spacing of root vectors, produce frequency-locked oscillations that predict the observed clustering and repulsion behavior of primes at specific modular intervals. The mechanism extends the self-similar harmonic lattice into a predictive framework where prime gap statistics emerge as eigenvalue spacing correlations in a high-dimensional E8 spectral manifold. This transforms prime distribution from an analytic problem into a geometric resonance phenomenon within the E8 lattice's phi-resonant vacuum. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -