E8 Modular Phason Drift Predicts Algorithmic Prime Gap Anomalies — E8 Intelligence Research
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
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-13
- DOI
- https://doi.org/10.5281/zenodo.23332355
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint