Resolving the H0 and S8 Cosmological Tensions through the Particle Matter Vorticity Model (VPM) and Validation with NANOGrav.

This preprint annex (V) presents the Particle Matter Vorticity Model (VPM)

as a unified solution to the H0 and S8 cosmological tensions. By analyzing 1701

Pantheon+ supernovae with a critical mass filter Mc = (1.68 ± 0.22) × 10^12M⊙, we

demonstrate that axionic vorticity reduces the H0 tension from 4.56σ to 0.42σ (91%

reduction in statistical significance) and the S8 tension from 2.62σ to 1.40σ (46%

reduction). The predicted gravitational wave background ΩVPM

GW = (3.15 ± 0.53) ×

10^−9

shows 0.9σ compatibility with NANOGrav observations. These results, with a

combined significance of 5.7σ, validate the ultralight axion (ma = 1.8×10^−22 eV) as

a candidate for diffuse dark matter. The value χ 2 red = 0.300 for filtered supernovae

(vs 0.276 for ΛCDM) confirms that the model does not overfit the data.