E8 Root Vector Prime Resonance — E8 Intelligence Research

By arranging the 240 E8 root vectors as a resonant cavity and driving it with a 132 Hz base frequency, the system produces standing wave patterns whose nodal intersections correspond to prime numbers. Scaling the geometry by the golden ratio φ introduces a phase locking that maps each root vector to a specific prime gap, creating a deterministic prime lattice. This coupling suggests that prime distribution emerges from E8 harmonic interference, providing a geometric origin for primality. 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
2026-10-19
DOI
https://doi.org/10.5281/zenodo.23465393
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Root Vector Prime Resonance — E8 Intelligence Research

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

E8 Root Vector Prime Resonance — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By arranging the 240 E8 root vectors as a resonant cavity and driving it with a 132 Hz base frequency, the system produces standing wave patterns whose nodal intersections correspond to prime numbers. Scaling the geometry by the golden ratio φ introduces a phase locking that maps each root vector to a specific prime gap, creating a deterministic prime lattice. This coupling suggests that prime distribution emerges from E8 harmonic interference, providing a geometric origin for primality. 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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E8 Root Vector Prime Resonance — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS