Experiments
Computational experiments exploring the Riemann Hypothesis through two complementary approaches: Mann’s spectral zeta function from quantum gravity, and direct verification of Riemann zeros using the Riemann-Siegel formula.
Zeta Spectral Triples
High-precision computation of spectral zeta zeros using mpmath. Server-side backend with arbitrary precision arithmetic for rigorous numerical exploration.
Mann's Spectral Zeta Experiment
Test whether zeros of the quantum gravity spectral zeta function ζ_QG(s) = Σ λ_n^{-s} concentrate on the critical line Re(s) = ½, where λ_n are eigenvalues of the LQG area operator.
Riemann Hypothesis Verification
Direct computation of zeros of ζ(s) on the critical line using the Riemann-Siegel Z(t) function. Every sign change of Z(t) confirms a zero on Re(s) = ½.