{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/the-homogeneity-scale-of-the-universe","title":"The Homogeneity Scale of the universe","arxiv_id":"1607.03418","date":"2016-07-12","proceeding":null,"authors":["Pierros Ntelis"],"abstract":"In this study, we probe the cosmic homogeneity with the BOSS CMASS galaxy sample in the redshift region of $0.43 < z < 0.7$. We use the normalised counts-in-spheres estimator $\\mathcal{N}(<r)$ and the fractal correlation dimension $\\mathcal{D}_{2}(r)$ to assess the homogeneity scale of the universe. We verify that the universe becomes homogenous on scales greater than $\\mathcal{R}_{H} \\simeq 64.3\\pm1.6\\ h^{-1}Mpc$, consolidating the Cosmological Principle with a consistency test of $\\Lambda$CDM model at the percentage level. Finally, we explore the evolution of the homogeneity scale in redshift.","url_abs":"https://arxiv.org/abs/1607.03418v1","url_pdf":"https://arxiv.org/pdf/1607.03418v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"the-homogeneity-scale-of-the-universe","repo_url":"https://github.com/lontelis/cosmopit","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}