Study of a prime-encoded Hamiltonian in resonators, suggesting new connections in number theory and quantum chaos.
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
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Andrew Stewart Caldin (2026) studied this question.
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