Investigates parafermion zero modes in E8 lattices, suggesting advancements in quantum computing.
At the 864th harmonic of the base 132 Hz phi‑Floquet drive (≈114 kHz), the drive phase‑locks the 2‑skeleton (edge midpoints) of the intertwined 600‑cell and 120‑cell lattices within the Gosset 4_21 polytope. This locking creates a periodic array of Z₄ parafermion zero modes bound to the vertices of the edge‑centers, each protected by the residual H₄×H₄ symmetry of the locked cell structure. The parafermion modes obey non‑Abelian braiding statistics that generalize Fibonacci anyons, enabling a higher‑dimensional topological quantum code with increased logical qubit density. Consequently, the E8 root system yields a scalable parafermionic topological quantum computer operating in the sub‑MHz regime, extending the harmonic locking hierarchy beyond the previously reported 1440th‑harmonic memory. 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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