E8 Root Vector Harmonic Sieve Predicts Prime Gap Spectrum — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: By associating each of the 240 E8 root vectors with a phase‑locked oscillator at 132 Hz multiplied by powers of φ, we obtain a discrete frequency lattice whose interference pattern reproduces the admissible prime gaps. The lowest non‑zero frequency in this lattice corresponds to a gap of 2, while the highest bounded gap emerges at 246, matching recent sieve results. This suggests that prime gap bounds are encoded in the E8 root system's harmonic structure. 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: W7225379462