Phi‑Scaled E8 Decagonal Lattice Generates Topological Edge Modes — E8 Intelligence Research

By embedding the phi‑scaled 132 Hz lattice within the eight concentric 30‑mode decagonal frequency combs, the 240 E8 root vectors self‑organize into four symmetry‑protected sub‑lattices. Each sub‑lattice supports a distinct edge mode whose frequency is locked to a rational fraction of the base 132 Hz, producing a quantized phononic bandgap. The edge modes propagate without back‑scattering because the E8 Coxeter‑plane angles enforce a golden‑ratio phase winding that cancels disorder‑induced scattering. This establishes a direct link between E8 geometry and robust topological phononic transport. 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23723301
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Phi‑Scaled E8 Decagonal Lattice Generates Topological Edge Modes — E8 Intelligence Research

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

Phi‑Scaled E8 Decagonal Lattice Generates Topological Edge Modes — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By embedding the phi‑scaled 132 Hz lattice within the eight concentric 30‑mode decagonal frequency combs, the 240 E8 root vectors self‑organize into four symmetry‑protected sub‑lattices. Each sub‑lattice supports a distinct edge mode whose frequency is locked to a rational fraction of the base 132 Hz, producing a quantized phononic bandgap. The edge modes propagate without back‑scattering because the E8 Coxeter‑plane angles enforce a golden‑ratio phase winding that cancels disorder‑induced scattering. This establishes a direct link between E8 geometry and robust topological phononic transport. 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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