E8-Root Phason Lattice Enables φ‑Scaled Topological Qubit Memory — E8 Intelligence Research
The 240 E8 roots form the vertices of a 4‑D quasicrystalline phason lattice where each icosahedral braid‑graph vertex hosts a localized phason mode resonant at 132 Hz · φⁿ. Nearest‑neighbor phason coupling reproduces the SU(2)₃ Fibonacci anyon braiding, while higher‑order phason harmonics generate para‑Fibonacci anyons with quantum dimension φ², providing a topologically protected qubit. Decoherence is intrinsically suppressed by powers of the golden ratio, yielding error rates that scale as φ⁻ᵏ for k‑th order phason processes. 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
- 2026-11-03
- DOI
- https://doi.org/10.5281/zenodo.23909148
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint