On the Existence of the Hilbert-Pólya Hamiltonian

• URL: http://arxiv.org/abs/2408.15135v7
• Date: Thu, 20 Feb 2025 17:53:49 GMT
• Title: On the Existence of the Hilbert-Pólya Hamiltonian
• Authors: Enderalp Yakaboylu,
• Abstract summary: We propose a Hamiltonian for the Hilbert-P'olya Conjecture. We explicitly construct a well-defined similarity transformation that renders this Hamiltonian self-adjoint for the nontrivial Riemann zeros.
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• Abstract: Building on the recent work in~[J. Phys. A: Math. Theor. 57, 235204 (2024)], we propose a Hamiltonian for the Hilbert-P\'olya Conjecture and explicitly construct a well-defined similarity transformation that renders this Hamiltonian self-adjoint for the nontrivial Riemann zeros. This represents a significant step toward proving the Riemann Hypothesis.

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