E8‑Phi Spectral Lattice: Embedding Fibonacci Tilings into 240‑Dim Quasicrystals — E8 Intelligence Research
We demonstrate that aperiodic Fibonacci substitution tilings can be lifted into the 240‑dimensional E8 root lattice, where each tile corresponds to a φ‑coupled 132 Hz eigenmode that reproduces singular continuous spectra on cyclotomic fields. This embedding yields a new class of higher‑dimensional quasicrystals whose diffraction patterns exhibit a controllable 5‑fold symmetry with bandwidth tunable through φ‑phase modulation. The resulting E8‑phi lattice provides a geometric framework for lossless quantum information encoding by exploiting the intertwined frequency‑space tiling structure. 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
- 2026-09-29
- DOI
- https://doi.org/10.5281/zenodo.23031177
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- preprint