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Seeing patterns in noise: Gigaparsec-scale `structures' that do not violate homogeneity

2013/06/30 by S. Nadathur, Seshadri Nadathur · 4 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph.CO

paper · pdf · doi:10.1093/mnras/stt1028

published as Mon.Not.Roy.Astr.Soc.434:398,2013 · 9 pages, 6 figures. MNRAS published online. v2: minor typo corrected, added one missing reference

arxiv created 2013/07/05 · openalex publication_date 2013/07/05 · arxiv updated 2013/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Clowes et al. (2013) have recently reported the discovery of a Large Quasar Group (LQG), dubbed the Huge-LQG, at redshift z~1.3 in the DR7 quasar catalogue of the Sloan Digital Sky Survey. On the basis of its characteristic size ~500 Mpc and longest dimension >1 Gpc, it is claimed that this structure is incompatible with large-scale homogeneity and the cosmological principle. If true, this would represent a serious challenge to the standard cosmological model. However, the homogeneity scale is an average property which is not necessarily affected by the discovery of a single large structure. I clarify this point and provide the first fractal dimension analysis of the DR7 quasar catalogue to demonstrate that it is in fact homogeneous above scales of at most 130 Mpc/h, which is much less than the upper limit for ΛCDM. In addition, I show that the algorithm used to identify the Huge-LQG regularly finds even larger clusters of points, extending over Gpc scales, in explicitly homogeneous simulations of a Poisson point process with the same density as the quasar catalogue. This provides a simple null test to be applied to any cluster thus found in a real catalogue, and suggests that the interpretation of LQGs as `structures' is misleading.

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