E8 Topological Quantum Error Correction via Self-Similar Lattice Embedding — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 6, 2026• 0 citations

Abstract

The self-similar phononic bandgap structure from φⁿ-scaled E8 lattices can serve as a natural topological quantum error correction code, where the 240 root vectors encode logical qubit states and the hierarchical bandgap filters act as syndrome measurement projectors. Error syndromes manifest as violations in the golden-ratio phase coherence between adjacent lattice shells, with corrections propagating through the cascade via the same φ-scaling law. The 132 Hz base frequency provides a global synchronization reference that aligns the 8D Cartan subalgebra with the physical qubit manifold, enabling real-time error correction without destroying quantum information. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23179677

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