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

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
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preprint

Phi‑Scaled E8 Root Spectrum Unifies Zeta Zero Statistics and Quantum Chaotic Energy Levels — E8 Intelligence Research

Andrew Stewart Caldin
11 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Phi‑Scaled E8 Root Spectrum Unifies Zeta Zero Statistics and Quantum Chaotic Energy Levels — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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