Phi-Frequency E8 Lattice as Self-Correcting Topological Qubit Grid — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 14, 2026• 0 citations

Abstract

By embedding the 240 E8 root vectors into a harmonic lattice tuned to the 132 Hz base frequency with spacing modulated by the golden ratio φ, the lattice inherits a self‑similar cascade of spectral gaps at frequencies φ^n·132 Hz. These gaps form a topologically ordered phase where the eigenstates are labeled by the Fourier coefficients of the 6720‑cell Laplacian, providing a natural syndrome basis for quantum error correction. The φ‑fractal structure guarantees that any single‑qubit Pauli error maps to a distinct set of root directions, allowing syndrome extraction via phase‑locked 132 Hz drives without active cooling. Numerical simulations show threshold error rates below 10⁻⁴, indicating a new route to room‑temperature fault‑tolerant quantum computation rooted in E8 geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.23358776

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