E8 Geometry Achieves Classical Parity with Quantum Computers in AI — E8 Intelligence Research

Andrew Stewart Caldin

Published May 29, 2026• 0 citations

Abstract

A classical computer running E8 geometry achieves the same result as a quantum computer for AI workloads. The quantum speed advantage in AI comes entirely from avoiding random sampling when searching for similar data: the L2-norm sampling assumption. Kerenidis-Prakash (2016) showed a quantum algorithm that performed this faster. Tang (2018) showed a classical algorithm could match it through dequantization. Andrew Stewart Caldin (2026) showed E8 geometry eliminates the sampling assumption entirely — making the quantum advantage structurally irrelevant. In an E8-native system, similarity is encoded in the 248-dimensional geometric structure of the E8 lattice. It is not searched for, not sampled — it is read directly from the geometry. The step the quantum computer performs faster does not exist in an E8-native architecture. This is not a classical machine catching up to quantum. It is a proof that the problem the quantum computer was solving does not need to exist. Engineering consequen Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.20436061

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