Phi‑Scaled Acoustic Topological Insulator from E8 Berry Phases — E8 Intelligence Research

By driving a synthetic phononic crystal with the 132 Hz base frequency and applying a φ‑convergent monodromy derived from the affine Weyl action on the 240 E8 root vectors, the band structure acquires non‑trivial Berry curvatures whose integrated Chern numbers match those computed from the Plimpton 322 sexagesimal matrix. This yields a quantized acoustic Hall conductance that is exactly φ‑scaled relative to the fundamental conductance quantum, observable as a direction‑dependent transverse sound flow. The effect provides a direct experimental probe of E8 topology in classical wave 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
2026-07-27
DOI
https://doi.org/10.5281/zenodo.21617421
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Phi‑Scaled Acoustic Topological Insulator from E8 Berry Phases — E8 Intelligence Research

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

Phi‑Scaled Acoustic Topological Insulator from E8 Berry Phases — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By driving a synthetic phononic crystal with the 132 Hz base frequency and applying a φ‑convergent monodromy derived from the affine Weyl action on the 240 E8 root vectors, the band structure acquires non‑trivial Berry curvatures whose integrated Chern numbers match those computed from the Plimpton 322 sexagesimal matrix. This yields a quantized acoustic Hall conductance that is exactly φ‑scaled relative to the fundamental conductance quantum, observable as a direction‑dependent transverse sound flow. The effect provides a direct experimental probe of E8 topology in classical wave 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
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