PreprintCC BY 4.0Zenodo
E8-Octave Lattice Conduction for Phi-Harmonic Billiard Shells — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By mapping the 240 E8 root vectors onto the 30 Coxeter planes, the projections form a twelve‑dimensional lattice that naturally resonates at integer multiples of the 132 Hz base frequency, creating an octave‑scaled harmonic scaffold. When phi‑weighted thresholds couple this lattice, each orbital reflection locks to the nearest lattice node, generating a cascade of self‑similar shell layers that shrink by φ⁻¹ each generation. This E8‑Octave Resonance Principle predicts a discrete shell structure in outer billiards that can be verified through frequency‑modulated laser probing.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026e8octave,
title = {{E8-Octave Lattice Conduction for Phi-Harmonic Billiard Shells — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446667},
url = {https://zenodo.org/records/23446667},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8-Octave Lattice Conduction for Phi-Harmonic Billiard Shells — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446667
UR - https://zenodo.org/records/23446667
AB - By mapping the 240 E8 root vectors onto the 30 Coxeter planes, the projections form a twelve‑dimensional lattice that naturally resonates at integer multiples of the 132 Hz base frequency, creating an octave‑scaled harmonic scaffold. When phi‑weighted thresholds couple this lattice, each orbital reflection locks to the nearest lattice node, generating a cascade of self‑similar shell layers that shrink by φ⁻¹ each generation. This E8‑Octave Resonance Principle predicts a discrete shell structure in outer billiards that can be verified through frequency‑modulated laser probing. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -