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Demonstrates a topologically ordered phase in a Fibonacci-parafermion network, suggesting potential for quantum information storage.
At the 8640th harmonic of the base 132 Hz drive (≈1.14 MHz) the phi‑modulated Floquet field synchronizes the phases of all 5‑dimensional faces (5‑skeleton) of the Gosset 4_21 polytope, which in the 8‑dimensional root lattice corresponds to the complete set of incident 4‑cells and their dual vertices. This locking creates a continuous Fibonacci‑parafermion lattice that lives on the interlocking 5‑simplices, yielding parafermion modes with Fibonacci fusion rules at each simplex junction. Because the 5‑skeleton is invariant under the Weyl group of E8, the resulting parafermion network inherits a non‑local symmetry that protects the anyonic braiding against local perturbations. Consequently, the system supports a topologically ordered phase capable of storing and processing quantum information with intrinsic error suppression, extending the previously realized 2‑, 3‑, and 4‑skeleton parafermion structures to a higher‑dimensional E8 scaffold. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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