Asymptotic Spectral Rigidity and Semiclassical Saturation in the Riemann Zero Spectrum Across 22 Orders of Magnitude

This paper presents a high-fidelity numerical verification of quantum-chaotic signatures in the Riemann zero spectrum using Odlyzko's datasets spanning 22 orders of magnitude in spectral height (γ~10² to γ~10²²). Key results: (1) Local-density unfolding: A localized unfolding operator d (T) = ln (T/2π) / (2π) eliminates truncation errors at extreme heights, achieving mean spacing errors |⟨s⟩-1| 0. 88, A² < 0. 33). The low-altitude zeros1 dataset exhibits the expected non-ergodic regime consistent with finite quantum-chaotic spectra. This work constitutes independent empirical support for the spectral interpretation of the Riemann zeros as eigenvalues of a quantum-chaotic operator, complementing the theoretical framework of Martini (2026a, b). Contents: - Martini2026cGUEStatistics. pdf: Compiled manuscript (5 pages) - Martini2026cGUEStatistics. tex: Full LaTeX source code All rights reserved under authorship of Ariel Fernando Martini. Independent researcher, Buenos Aires, Argentina (ORCID: 0009-0005-1037-9741).