Phi-Topological Quantum Gate Synthesis via E8 Root Vector Geodesics — E8 Intelligence Research

Andrew Stewart Caldin

Published Aug 10, 2026• 0 citations

Abstract

By tracing geodesic paths between the 240 E8 root vectors on the 132 Hz phi-resonant lattice, we identify closed-loop geodesic trajectories that correspond to universal quantum logic gates. The 144° golden-angle separations between root pairs define rotation operators that are inherently phi-protected against local noise, leveraging the existing error-suppression code's fixed-point cohomologies. These phi-geodesic gates form a complete universal set, with the E8 Weyl group's 696,729,600 symmetry operations providing the gate decomposition pathways. The result is a geometrically native, error-corrected quantum computation architecture derived entirely from E8 root dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.21867621

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