E8 Modular Phason Drift Predicts Algorithmic Prime Gap Anomalies — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: The 8-dimensional quasicrystalline projection of E8's root lattice exhibits phason strain modes that couple to the Hardy-Littlewood singular series, introducing a previously unmodeled correction term scaling with φ⁻⁸. This phason drift creates a slow rotational precession in the spectral bound of prime gap generation, predicting that gaps exceeding the E8-quantized ceiling should occur in clusters whose spacing matches E8's 240-fold symmetry projection onto 3-fold axes. The discovery establishes that algorithmic prime generation is not merely bounded but phase-locked to E8's forbidden symmetry breaking, yielding testable predictions for Skewes-scale anomalies. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221625807
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