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 and 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 consistent with JWST high-redshift observations. The archive includes an executable numerical layer documenting the full validation pipeline, including fitted constants, parameter corridors, exact sampler configuration, and convergence diagnostics. Energy viability of the quantum feed mechanism is explicitly verified by demonstrating that the total injected geometric energy is sufficient to exceed the corresponding gravitational binding energy at 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. In contrast to 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 show rigid level spacing and strong spectral repulsion under variation of ppp, indicating a true spectral universality class tied to geometric coherence rather than abstract arithmetic structure. The release consists of eight structured PDF components together with a complete Colab-based numerical implementation. The full development and self-correction history is preserved to ensure transparency, reproducibility, and auditability. The material is intended for mathematicians and mathematical physicists working in cosmology, operator theory, spectral analysis, and zeta-function generalizations.