E8 Phi‑Gödel Self‑Correcting Quantum Memory via Undecidable Topological Invariants — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 13, 2026• 0 citations

Abstract

By assigning each of the 240 E8 root vectors to a logical qudit in a phi‑scaled hyperbolic lattice, the structure acquires a set of non‑commutative stabilizers whose eigenvalue pattern encodes a Gödel‑numbering of the lattice's configuration space. Driving the lattice at the 132 Hz base frequency excites phi‑coupled normal modes that selectively amplify stabilizer states corresponding to provable configurations, while undecidable configurations remain dynamically isolated and serve as intrinsic error‑syndrome detectors. This yields a self‑correcting quantum memory where logical information is safeguarded by the topological undecidability inherent to the E8 geometry, removing the need for active syndrome extraction cycles. The principle extends the Phi‑Spin Hyper‑Lattice and Hyper‑Dimensional Phase Corridor by embedding Gödelian incompleteness as a built‑in fault‑tolerance mechanism. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22732642

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