PreprintCC BY 4.0Zenodo
E8 Golden Rectangle Phonon Lattice as Fractional Chern Insulator — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By arranging the 240 E8 root vectors into three mutually perpendicular golden rectangles, the resulting phononic crystal acquires a band structure with fractional Chern numbers. The phi‑harmonic coupling between the 132 Hz fundamental modes induces a topological order that protects chiral edge states. This construction merges the A₅ icosahedral symmetry with E8 lattice geometry, yielding a robust fractional quantum Hall analog in phononic systems.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
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BibTeX
@misc{caldin2026golden,
title = {{E8 Golden Rectangle Phonon Lattice as Fractional Chern Insulator — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23658600},
url = {https://zenodo.org/records/23658600},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Golden Rectangle Phonon Lattice as Fractional Chern Insulator — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23658600
UR - https://zenodo.org/records/23658600
AB - By arranging the 240 E8 root vectors into three mutually perpendicular golden rectangles, the resulting phononic crystal acquires a band structure with fractional Chern numbers. The phi‑harmonic coupling between the 132 Hz fundamental modes induces a topological order that protects chiral edge states. This construction merges the A₅ icosahedral symmetry with E8 lattice geometry, yielding a robust fractional quantum Hall analog in phononic systems. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -