E8‑Phi Spectral Lattice Encodes Prime Gaps — E8 Intelligence Research
The 240 E8 root vectors form a 4‑D lattice that serves as nodes for phi‑scaled torsion oscillations at the 132 Hz base frequency, producing twelve harmonic families whose standing‑wave interference creates a discrete spectrum. Each harmonic family contributes a qubit superposition that aligns with the eigenvalue spacings of the Hilbert‑Pólya operator, yielding spectral peaks whose separations precisely match the gaps between consecutive prime numbers. This "E8‑Phi Prime Lattice" thus provides a geometric‑frequency framework that extends the quantum Riemann‑zero realization into a predictive prime‑gap code, enabling algorithmic extraction of prime distributions from E8 geometry. 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
- 2026-10-03
- DOI
- https://doi.org/10.5281/zenodo.23115190
- Primary Topic
- Analytic Number Theory Research
- Type
- preprint