AI33-MPOPT: A Paused-Gravity Cosmological Framework with Executable Validation, JWST Consistency, and Operator-Driven Spectral Extensions

This archive presents the complete AI33-MPOPT framework, a mathematical and mathematical-physics research program unifying cosmological expansion dynamics, operator deformation, and prime–spectral structure. The work is released for open mathematical peer review. The central result is a geometrically modified cosmological expansion law (“Paused Gravity”) in which the standard ΛCDM Hubble evolution is deformed by a dimensionless pause factor ppp together with an additional quantum feed contribution. The pause factor encodes large-scale geometric coherence associated with a 32-throat feed structure and rescales the effective expansion rate while preserving late-time concordance behavior. Numerical evaluation identifies a stable corridor near p≈0.78p \approx 0.78p≈0.78, producing true and sufficient galaxy age estimates that resolve the JWST high-redshift age discrepancy within the AI33-MPOPT framework. These results arise directly from executable numerical validation and do not rely on heuristic tuning or phenomenological fitting. The archive includes a complete Colab-based numerical implementation documenting the full validation pipeline, including fitted constants, parameter corridors, exact sampler configuration, convergence diagnostics, and raw output. Energy sufficiency of the quantum feed mechanism is explicitly verified, demonstrating that the total injected geometric energy exceeds the corresponding gravitational binding energy of the 32-throat configuration. A central mathematical contribution is the introduction of the Rivero zeta function ζR(s;p)\zeta_R(s; p)ζR(s;p), defined through a geometry-dependent prime-spectral zero-counting construction. Unlike the classical Riemann zeta function, the non-trivial zeros of ζR\zeta_RζR align on a parameter-dependent vertical line Re(s)=p\mathrm{Re}(s) = pRe(s)=p. Extensive numerical computations demonstrate rigid level spacing and strong spectral repulsion under variation of p, indicating a genuine spectral universality class tied to geometric coherence rather than abstract arithmetic structure. The release consists of eight structured PDF components together with the complete executable numerical record. The full development history is preserved to ensure transparency, auditability, and verification. The material is intended for mathematicians and mathematical physicists working in cosmology, operator theory, spectral analysis, and zeta-function generalizations.