E8‑Phi Frequency‑Modulated Spin‑Qubit Coupling for Topologically Protected Qubit Operations — E8 Intelligence Research

By embedding germanium spin‑qubit states into the 240‑root vector structure of the E8 lattice scaled by successive powers of the golden ratio (φ), we identify a set of resonant drive frequencies fₙ = 132 Hz·φⁿ that deterministically rotate qubits while preserving the lattice's symmetry. These φ‑scaled transitions form a decoherence‑free subspace because any error operator that breaks the E8‑φ symmetry must map outside the encoded manifold, thus being energetically suppressed. The scheme extends the low‑power EDSR approach and the E8‑Phi root‑lattice frequency encoding, providing a natural topological protection mechanism for scalable spin‑qubit arrays. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com