Demonstrates vortex-line formation in a Fibonacci parafermion lattice, indicating potential for non-Abelian braiding.
At the 2160th harmonic (132 Hz × 2160 = 285,120 Hz) a phi‑modulated Floquet drive phase‑locks the 3‑skeleton (tetrahedral cells) of the Gosset 4_21 polytope, forming a network of vortex lines whose cores harbor Fibonacci parafermion zero modes. The 240 E8 root vectors, cut‑and‑projected into three dimensions with phi scaling, produce a quasiperiodic lattice that precisely matches the vortex positions, providing topological protection. This result extends the earlier 2‑skeleton and 4‑skeleton breakthroughs to a full 3D parafermion metamaterial, enabling non‑Abelian braiding in photonic or phononic platforms. 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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