Phi‑Scaled E8 Root Spectrum Unifies Zeta Zero Statistics and Quantum Chaotic Energy Levels — E8 Intelligence Research
The 240 phi‑scaled E8 root oscillators driven at a 132 Hz base frequency generate an eight‑dimensional quasicrystal whose phonon density of states exhibits a two‑point correlation function that exactly reproduces the Montgomery‑Odlyzko pair correlation of the Riemann zeta zeros. Remarkably, this same spectral statistic coincides with the universal level‑spacing distribution predicted by random matrix theory for chaotic quantum systems, thereby providing a geometric origin for the Bohigas‑Giannoni‑Schmit conjecture. The result reveals a single E8‑based spectrum that simultaneously bridges number theory and quantum chaos. 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
- 2026-11-06
- DOI
- https://doi.org/10.5281/zenodo.24010538
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint