The Scale of Homogeneity in the Universe
arXiv:2311.06249 · doi:10.1093/mnras/stad2496
Abstract
Studies of the Universe's transition to smoothness in the context of LCDM have all pointed to a transition radius no larger than ~300 Mpc. These are based on a broad array of tracers for the matter power spectrum, including galaxies, clusters, quasars, the Ly-alpha forest and anisotropies in the cosmic microwave background. It is therefore surprising, if not anomalous, to find many structures extending out over scales as large as ~2 Gpc, roughly an order of magnitude greater than expected. Such a disparity suggests that new physics may be contributing to the formation of large-scale structure, warranting a consideration of the alternative FLRW cosmology known as the universe. This model has successfully eliminated many other problems in LCDM. In this paper, we calculate the fractal (or Hausdorff) dimension in this cosmology as a function of distance, showing a transition to smoothness at ~2.2 Gpc, fully accommodating all of the giant structures seen thus far. This outcome adds further observational support for R_h=ct over the standard model.
arXiv comment7 pages, 3 figures, 1 table. Accepted for publication in MNRAS
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