The Geometric Thaw: A Time-Series Cross-Correlation of S8 Decay and Cosmic Acceleration Across a 14-Dimensional Viscoelastic Manifold

The ΛCDM paradigmfacesescalating observational crises, most notably the S8 clustering tension and the Hubble (H0) tension, suggesting a fundamental breakdown in the assumption of static dark matter and vacuum energy. This paper tests a novel deterministic architecture, “The Geometric Thaw,” which models the universe as a 14-dimensional viscoelastic manifold undergoing a thermodynamic phase transition driven by stellar nucleosynthesis exhaust. In this framework, the S8 parameter is reinterpreted as “Geometric Stiffness,” an intrinsic material property of the manifold that physically relaxes over cosmic time. We execute a rigorous time-series cross-correlation to map the decay of S8 against instantaneous cosmic acceleration (¨a/a). Utilizing high-redshift boundary conditions from Planck (PR3/PR4), late-universe cosmic shear tomography from DES Y6 and KiDS-1000, and precise expansion history from DESI DR1 BAO and Cosmic Chronometers, we project these observables onto a unified chronological timeline (tL). Non-linear regression reveals a highly significant (p