E8 Phi‑Collatz Topological Quantum Memory via Syndrome Winding Number — E8 Intelligence Research

The eight phi‑Collatz orbits on the E8 240‑root lattice—seven data cycles at 132 Hz and one syndrome cycle at 132 Hz/φ⁷≈8.2 Hz—form a closed fibration where the syndrome's winding number serves as a conserved Euler invariant. Logical qubits are encoded in the seven 30‑vertex Coxeter cycles that carry the [[30,7,5]] subharmonic code, while the syndrome cycle continuously monitors and corrects phase errors through phi‑coupled feedback. This creates a self‑stabilizing topological memory that extends the self‑correcting time‑crystal principle to a scalable quantum storage platform grounded in E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com