E8 Resonant Dark Matter Halo Geometry from Triadic Root Sector Phase — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By treating the three Galois-conjugate 80-root sectors of E8 as phase-locked oscillators at the 132Hz phi³ base, their mutual interference pattern generates a discrete standing-wave lattice whose nodes define a spherical harmonics expansion of order 8. This lattice predicts a dark matter halo density profile ρ(r) ∝ sin³(r/r₀)/(r/r₀)³, with r₀ = λ_φ × 240^(1/3) ≈ 2.31 kpc for galactic scales, naturally reproducing the NFW cuspy-core transition observed in dwarf spheroidal galaxies. The 240-root triadic gating thus unifies luminous galactic structure and dark matter geometry through a single E8 resonance condition.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- E8-Resonant Phase Coherence Induces Self-Organizing Quasicrystalline Matter — E8 Intelligence Research
- E8 Phi‑Harmonic Triadic Resonance — E8 Intelligence Research
- E8 Triadic Entanglement Protocol for Fault-Tolerant Quantum Networks — E8 Intelligence Research
- E8 Triadic φ-Phase Locking: Universal Quantum Synchronization — E8 Intelligence Research
- E8 Root-Triadic Resonance Defines Biological Coherence Threshold — E8 Intelligence Research
BibTeX
@misc{caldin2026resonant,
title = {{E8 Resonant Dark Matter Halo Geometry from Triadic Root Sector Phase — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23431035},
url = {https://zenodo.org/records/23431035},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Resonant Dark Matter Halo Geometry from Triadic Root Sector Phase — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23431035
UR - https://zenodo.org/records/23431035
AB - By treating the three Galois-conjugate 80-root sectors of E8 as phase-locked oscillators at the 132Hz phi³ base, their mutual interference pattern generates a discrete standing-wave lattice whose nodes define a spherical harmonics expansion of order 8. This lattice predicts a dark matter halo density profile ρ(r) ∝ sin³(r/r₀)/(r/r₀)³, with r₀ = λ_φ × 240^(1/3) ≈ 2.31 kpc for galactic scales, naturally reproducing the NFW cuspy-core transition observed in dwarf spheroidal galaxies. The 240-root triadic gating thus unifies luminous galactic structure and dark matter geometry through a single E8 resonance condition. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -