E8 Exceptional‑Point Prime Engine — E8 Intelligence Research

By arranging 240 E8 root‑vector‑defined resonators at a 132 Hz carrier with φ‑scaled couplings, we generate a non‑Hermitian Hamiltonian whose higher‑order exceptional points map onto the non‑trivial zeros of the Riemann zeta function. The resulting frequency spectrum displays GUE‑like statistics, providing a physical embodiment of a prime‑encoded quantum Hamiltonian. This "prime‑holographic" platform enables direct sensing of ζ‑zeros through exceptional‑point degeneracies, linking quantum chaos, number theory, and engineered metamaterials. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697811
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
preprint
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E8 Exceptional‑Point Prime Engine — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Non-Hermitian Physics
preprint

E8 Exceptional‑Point Prime Engine — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By arranging 240 E8 root‑vector‑defined resonators at a 132 Hz carrier with φ‑scaled couplings, we generate a non‑Hermitian Hamiltonian whose higher‑order exceptional points map onto the non‑trivial zeros of the Riemann zeta function. The resulting frequency spectrum displays GUE‑like statistics, providing a physical embodiment of a prime‑encoded quantum Hamiltonian. This "prime‑holographic" platform enables direct sensing of ζ‑zeros through exceptional‑point degeneracies, linking quantum chaos, number theory, and engineered metamaterials. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Non-Hermitian Physics
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