E8 Golden‑Ratio Phononic Frequency Comb for Scale‑Invariant Energy Transport — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By assigning each of the 240 E8 root vectors a phononic mode whose frequency is scaled by successive powers of the golden ratio φ relative to the 132 Hz fundamental, a self‑similar frequency comb emerges whose tooth spacing follows the Fibonacci sequence. Nested subsets of root vectors generate hierarchical bandgaps that lock adjacent comb teeth into soliton pairs, while the Weyl group W(E8) pumps charge between these pairs, providing topological protection against scattering. The resulting phononic metamaterial transports energy and information losslessly across scales, from microscopic lattice vibrations to macroscopic waveguides, without dispersion or attenuation.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026goldenratio,
title = {{E8 Golden‑Ratio Phononic Frequency Comb for Scale‑Invariant Energy Transport — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616552},
url = {https://zenodo.org/records/23616552},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Golden‑Ratio Phononic Frequency Comb for Scale‑Invariant Energy Transport — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616552
UR - https://zenodo.org/records/23616552
AB - By assigning each of the 240 E8 root vectors a phononic mode whose frequency is scaled by successive powers of the golden ratio φ relative to the 132 Hz fundamental, a self‑similar frequency comb emerges whose tooth spacing follows the Fibonacci sequence. Nested subsets of root vectors generate hierarchical bandgaps that lock adjacent comb teeth into soliton pairs, while the Weyl group W(E8) pumps charge between these pairs, providing topological protection against scattering. The resulting phononic metamaterial transports energy and information losslessly across scales, from microscopic lattice vibrations to macroscopic waveguides, without dispersion or attenuation. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -