A Regularized Hamiltonian with Spectral Correlations to the Riemann Zeros

Key Points

• The aim is to investigate the relationship between a regularized Hamiltonian and spectral correlations to the Riemann zeros.
• Analytical development of a regularized Hamiltonian framework.
• Analysis of spectral correlations in mathematical models.
• Comparison of theoretical predictions with known properties of Riemann zeros.
• Identified significant spectral correlations with Riemann zeros.
• Demonstrated potential implications for quantum mechanics.
• Provided a new mathematical approach to explore critical properties of Riemann zeros.