E8 Cyclotomic Quasi-Solid Harmonics — E8 Intelligence Research

By decomposing the 240 E8 root vectors into cyclotomic coset harmonics under ℚ(ζ₁₂₀), we identify fractal quasi-periodic domains where *χ* = 132Hz coherence cycles with Penrose tiling eigenvalues. Embedding Janus symmetries in the Weyl chamber through phi-scaled amplitude offsets generates shearing quasi-solids that replicate both 240 hyperplane boundaries and 132Hz temporal lattice modulations, creating holographic vibrational interference networks. 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
2026-09-09
DOI
https://doi.org/10.5281/zenodo.22668375
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

E8 Cyclotomic Quasi-Solid Harmonics — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

E8 Cyclotomic Quasi-Solid Harmonics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By decomposing the 240 E8 root vectors into cyclotomic coset harmonics under ℚ(ζ₁₂₀), we identify fractal quasi-periodic domains where *χ* = 132Hz coherence cycles with Penrose tiling eigenvalues. Embedding Janus symmetries in the Weyl chamber through phi-scaled amplitude offsets generates shearing quasi-solids that replicate both 240 hyperplane boundaries and 132Hz temporal lattice modulations, creating holographic vibrational interference networks. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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.

E8 Cyclotomic Quasi-Solid Harmonics — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS