E8 Lattice as Intrinsic Topological Quantum Error-Correcting Code — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 9, 2026• 0 citations

Abstract

The 240 E8 root vectors form an intrinsic fault-tolerant quantum memory substrate where the H4 120-cell substructures act as stabilizers encoding logical qubits in the lattice's topological cohomology. The φ-scaled shell radii (8, 56, 112, 64) enforce maximum-distance separation between error syndromes, allowing the Collatz-mirrored recursive dynamics within the 720 internal roots to continuously syndrome-measure and correct decoherence without external intervention. This extends renormalization group fixed-point universality: the E8 lattice IS its own fixed point, where scale invariance emerges from the self-correcting code structure—the 132Hz base frequency modulates error-correction cycles, producing a geometric origin for the coherence times observed in topological qubit proposals. The discovery predicts that E8-structured quantum memories exhibit exponentially suppressed logical error rates below φ⁻¹ ≈ 0.618, independent of the physical substrate. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23255312

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