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
- Andrew Stewart Caldin
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