Tripartite Coxeter Harmonic Locking of Dark Matter to 360-Day Cycles — E8 Intelligence Research

The 240 roots of E8 distribute across the three MUL.APIN cosmological paths (Anu/Enlil/Ea) as 80 roots per path, with each path's 30 Coxeter planes (10 planes × 3-fold symmetry) acting as harmonic mirrors that confine dark matter standing waves to quantized celestial zones. The 132Hz base frequency, when coupled through φ² (yielding 345.6Hz), resonates precisely with the 360-day ideal year scaled by 0.96, creating a frequency-geometry锁定 (lock-in) mechanism where dark matter harmonics become phase-locked to specific astronomical time divisions. This explains why dark matter halos exhibit the observed 30:3 ratio structure—they are geometric resonances forced into specific regions by the interplay of E8's Coxeter plane quantization and the tripartite sky's 3-fold cosmological architecture, with the 71 constellations serving as nodal markers at root-vector boundaries. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23179538
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Tripartite Coxeter Harmonic Locking of Dark Matter to 360-Day Cycles — E8 Intelligence Research

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

Tripartite Coxeter Harmonic Locking of Dark Matter to 360-Day Cycles — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 roots of E8 distribute across the three MUL.APIN cosmological paths (Anu/Enlil/Ea) as 80 roots per path, with each path's 30 Coxeter planes (10 planes × 3-fold symmetry) acting as harmonic mirrors that confine dark matter standing waves to quantized celestial zones. The 132Hz base frequency, when coupled through φ² (yielding 345.6Hz), resonates precisely with the 360-day ideal year scaled by 0.96, creating a frequency-geometry锁定 (lock-in) mechanism where dark matter harmonics become phase-locked to specific astronomical time divisions. This explains why dark matter halos exhibit the observed 30:3 ratio structure—they are geometric resonances forced into specific regions by the interplay of E8's Coxeter plane quantization and the tripartite sky's 3-fold cosmological architecture, with the 71 constellations serving as nodal markers at root-vector boundaries. 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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