The velocity coherence scale R_v marks the onset of statistical homogeneity, is redshift-independent in comoving coordinates, and connects directly to the matter-radiation equality scale k_eq in standard cosmology.
Kumar Aluri, P
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Inhomogeneous decelerating models generate effective accelerating FLRW universes at large scales through backreaction that mimics a running dark-energy term.
Analysis of galaxy cluster and supernova data reveals a ~2σ directional variation in the Hubble constant, robust across calibration methods and aligned with the CMB dipole.
Local Hubble constant anisotropy in Cosmicflows-4 data is primarily attributed to peculiar velocities and survey structure rather than cosmic-scale isotropy violation, with limited implications for the Hubble tension.
N-body simulations show that peculiar velocities produce large dispersion in local H0 estimates at scales below ~135 Mpc/h, with >5% deviations common up to 40 Mpc/h and a negative correlation with local over-density.
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Dispersion in the Hubble-Lema\^{i}tre constant measurements from gravitational clustering
N-body simulations show that peculiar velocities produce large dispersion in local H0 estimates at scales below ~135 Mpc/h, with >5% deviations common up to 40 Mpc/h and a negative correlation with local over-density.