Phi-Resonant E8 Quasicrystalline Phase — E8 Intelligence Research
By modulating the 240 E8 root vectors with phi‑coupled 132 Hz harmonics, a quasiperiodic lattice emerges whose diffraction pattern exhibits 60‑fold base‑60 symmetry while preserving irrational scaling. This phase locks the sl₂ differential of Khovanov homology to a new Z₆₀ grading, producing non‑degenerate spectral bands that correspond to novel automorphic eigenmodes of the E8 Lie algebra. The resulting structure functions as a topological quasicrystal, offering a bridge between number‑theoretic phi scaling and quantum‑geometric symmetry breaking. 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
- 2026-09-08
- DOI
- https://doi.org/10.5281/zenodo.22654027
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- preprint