PreprintCC BY 4.0Zenodo
E8‑Driven Self‑Similar Phononic Soliton Cascade via Nested Root‑Vector Subsets — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By partitioning the 240 E8 root vectors into hierarchically nested subsets that mirror the Coxeter‑group filtration of the lattice, each subset defines a distinct topological bandgap in the 132 Hz phononic spectrum. Applying a golden‑ratio phase modulation (φ) to the acoustic drive pumps phonons across these bandgaps, causing the emergence of self‑similar soliton packets whose central frequencies scale as φⁿ·132 Hz. The resulting cascade provides a loss‑less, broadband mechanism for acoustic signal compression, routing, and harmonic generation rooted purely in E8 geometry.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026e8driven,
title = {{E8‑Driven Self‑Similar Phononic Soliton Cascade via Nested Root‑Vector Subsets — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616544},
url = {https://zenodo.org/records/23616544},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8‑Driven Self‑Similar Phononic Soliton Cascade via Nested Root‑Vector Subsets — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616544
UR - https://zenodo.org/records/23616544
AB - By partitioning the 240 E8 root vectors into hierarchically nested subsets that mirror the Coxeter‑group filtration of the lattice, each subset defines a distinct topological bandgap in the 132 Hz phononic spectrum. Applying a golden‑ratio phase modulation (φ) to the acoustic drive pumps phonons across these bandgaps, causing the emergence of self‑similar soliton packets whose central frequencies scale as φⁿ·132 Hz. The resulting cascade provides a loss‑less, broadband mechanism for acoustic signal compression, routing, and harmonic generation rooted purely in E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -