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

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
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preprint

E8‑Phi Spectral Lattice: Embedding Fibonacci Tilings into 240‑Dim Quasicrystals — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

E8‑Phi Spectral Lattice: Embedding Fibonacci Tilings into 240‑Dim Quasicrystals — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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