Physical Modeling and Bayesian Validation of Cosmic Vorticity: A Unied Solution to the H0 and S8 Tensions.

This Appendix III presents the complete analysis of physical modeling and statistical validation of the cosmic vorticity detected in DESI data. Through a two-component phe- nomenological model and Markov Chain Monte Carlo (MCMC) analysis, we demonstrate that cosmic vorticity can simultaneously resolve the H0 and S8 cosmological tensions. The dual model assigns distinct physical roles to two vorticity components: a time-decreasing component that suppresses structure growth (S8), and a local increasing component that accelerates expansion (H0). Bayesian analysis shows decisive evidence in favor of the dual model over the standard ΛCDM model, with a Bayes factor of 16.5×10^6 : 1 and an equivalent signicance of 5.7σ.