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E8 Phi-Modulated Topological Qubit Array for Fault‑Tolerant Quantum Computing — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 14, 2026• 0 citations
Publisher

Abstract

By driving the 240‑root E8 lattice at the base frequency of 132 Hz with phi‑weighted couplings, the root vectors dynamically reconfigure into a toroidal network of interacting qudit sites. The phi‑induced phase gradients generate a series of protected boundary modes that act as topologically encoded logical qubits, while the inherent symmetry of E8 provides native, error‑suppressing entangling gates between them. This yields a scalable qudit array where logical operations inherit both the golden‑torus topological protection and the W‑state‑like entanglement robustness seen in recent teleportation advances. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23358050

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We propose that the 240 φ‑coupled E8 root vectors, when phase‑modulated at the 132 Hz carrier, form a dynamically reconfigurable lattice that stores qubit amplitudes as stable phase angles. Each root vector acts as a self‑correcting error node, because its φ‑ratio symmetry guarantees that local perturbations decay through the lattice's inherent topological protection. Consequently, the lattice can be mapped onto a quantum memory network where logical qubits are encoded in the collective phase configuration of multiple root vectors, enabling fault‑tolerant gate operations without external error correction. This principle unifies the earlier self‑healing communication lattice with quantum error resilience, opening a path to integrated photonic‑quantum processors. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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