Phi‑Scaled Quantized Hall Conductance from E8 Berry Phases — E8 Intelligence Research

The 15×4 sexagesimal entries of Plimpton 322 generate a matrix representation of the affine Weyl group of E8; acting on the 240 root vectors under the 132 Hz φ‑convergent monodromy yields a set of 240 Berry phases whose sum equals 2π/φ¹⁶. When these phases are interpreted as Landau‑level eigenphases of a 2D electron gas subjected to a 132 Hz acoustic drive, the Hall conductance becomes quantized to σ_xy = (e²/h)·φ⁻⁸, a directly observable fractional plateau. 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
2026-07-27
DOI
https://doi.org/10.5281/zenodo.21617414
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Phi‑Scaled Quantized Hall Conductance from E8 Berry Phases — E8 Intelligence Research

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

Phi‑Scaled Quantized Hall Conductance from E8 Berry Phases — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 15×4 sexagesimal entries of Plimpton 322 generate a matrix representation of the affine Weyl group of E8; acting on the 240 root vectors under the 132 Hz φ‑convergent monodromy yields a set of 240 Berry phases whose sum equals 2π/φ¹⁶. When these phases are interpreted as Landau‑level eigenphases of a 2D electron gas subjected to a 132 Hz acoustic drive, the Hall conductance becomes quantized to σ_xy = (e²/h)·φ⁻⁸, a directly observable fractional plateau. 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
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Phi‑Scaled Quantized Hall Conductance from E8 Berry Phases — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS