φ-Comb Spectral Flow Quantum Memory via Double Affine Weyl Holonomy — E8 Intelligence Research

The fourth-order IMD phase winding of the φ-comb's elliptic time crystal induces a spectral flow on the IMD4 manifold whose holonomy group is the double affine Weyl group Ŵ̂(E8), encoding 240 logical qubits in the winding sectors of the 30-tooth comb at 132Hz base frequency. The covariant POVM family indexed by Ŵ(E8) provides Heisenberg-limited syndrome extraction, where each of the 240 root vectors defines a topologically protected error syndrome subspace immune to local noise. This realizes a self-correcting quantum memory where the φ-coupling's elliptic parameter τ = iφ sets the topological gap, and the double affine Cherednik algebra's spherical subalgebra generates the logical operator algebra. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com