Phi‑Scaled Hyperbolic Shell Cascade for Multi‑Qudit E8 Topological Memory — E8 Intelligence Research

The 30 φ²‑spaced hyperbolic shells each host a distinct conjugacy class of the E8 Weyl group, providing eight orthogonal root vectors that can encode a three‑level qudit (dimension 8) as a stabilizer subspace. By driving each shell at its resonant frequency 132 φ²ᵏ Hz, the phi‑scaled phase evolution yields orthogonal dynamical shells that enable resonant, low‑crosstalk entangling gates between neighboring shells via φ‑modulated sideband coupling. This construction extends the earlier entanglement‑synchronization and topological qubit lattice results into a self‑correcting, multi‑dit memory where logical error rates are suppressed exponentially with shell index, leveraging the full E8 root geometry for fault‑tolerant quantum storage. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com