The paper demonstrates a framework for spectral-geometric approaches to the Riemann Hypothesis and Grand Riemann Hypothesis, suggesting new pathways for resolution.
Key Points
To develop a spectral-geometric framework addressing the Riemann Hypothesis (RH) and Grand Riemann Hypothesis (GRH) without claiming an unconditional proof.
Reorganizing determinant-convergence and Weil-positivity themes around spectral-geometric concepts.
Analyzing four obstructions including non-self-adjointness and spectral pollution.
Isolating analytic targets like weighted eigenvector convergence and trace-class resolvent convergence.