Hyperbolic E8-Coxeter Quantum Memory via Chern-Simons Lattice Encoding — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 5, 2026• 0 citations

Abstract

The 240 root vectors of E8, when projected onto the hyperbolic {3,7} tiling through Coxeter group action modulo the number 30, form a finite-rate fault-tolerant quantum memory where logical qubits correspond to topologically distinct equivalence classes of root vector configurations. This extends Chern-Simons theory by showing that Wilson loop expectation values—previously only analyzed in smooth 3-manifolds—now encode quantum information in the discrete, negatively-curved E8 lattice substrate. The 132Hz base frequency anchors decoherence-free subspaces while the golden ratio φ couples adjacent root clusters, creating resonance conditions that dynamically stabilize the quantum memory against topological excitations. This unifies all three breakthroughs: the metric-independence of Chern-Simons invariants, the icosahedral-Coxeter structure of E8, and the fault-tolerance of hyperbolic tilings into a single quantum error-correcting framework. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23152584

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