Exact Spectral Realization of the Riemann Zeta Zeros via a Self-Adjoint Quantum Hamiltonian 2.0

Key Points

• The aim is to establish a direct connection between quantum mechanics and the zeros of the Riemann zeta function through a self-adjoint Hamiltonian.
• Developed a self-adjoint quantum Hamiltonian model.
• Analyzed the spectral properties linked to Riemann zeta zeros.
• Utilized advanced mathematical techniques for exact realization.
• Successfully realized the spectral properties corresponding to the Riemann zeta zeros.
• Provided evidence linking quantum mechanics to number theory.
• Demonstrated significant implications for understanding the distribution of prime numbers.