Golden‑Ratio Frequency Comb Synthesis from E8 Quaternionic Quasicrystal — E8 Intelligence Research
The 240 E8 root vectors are re‑expressed as quaternionic resonance channels; when these channels are imprinted on a phi‑scaled 8‑root orbit lattice (the 30‑orbit quasicrystal), the resulting interference produces a set of standing‑wave modes whose frequencies are exact integer multiples of the base 132 Hz scaled by successive powers of φ. Because the quaternionic channels enforce 120° rotational symmetry, each mode inherits a topological charge that protects it against disorder, yielding a self‑stabilized optical/microwave frequency comb directly derivable from the E8 geometry. 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
- 2026-09-18
- DOI
- https://doi.org/10.5281/zenodo.22824286
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- preprint