E8 Golden Rectangle Phonon Lattice as Fractional Chern Insulator — E8 Intelligence Research

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

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23658599
Primary Topic
Topological Materials and Phenomena
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

E8 Golden Rectangle Phonon Lattice as Fractional Chern Insulator — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

E8 Golden Rectangle Phonon Lattice as Fractional Chern Insulator — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

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

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
E8 Golden Rectangle Phonon Lattice as Fractional Chern Insulator — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS