[[N-body simulation]]s in ΛCDM show that the spatial distribution of galaxies is statistically homogeneous if averaged over scales 260[[Parsec#Megaparsecs and gigaparsecs|/h Mpc]] or more.<ref name=Yadav>{{cite journal|last=Yadav|first=Jaswant |author2=J. S. Bagla |author3=Nishikanta Khandai|title=Fractal dimension as a measure of the scale of homogeneity|journal=Monthly Notices of the Royal Astronomical Society|date=25 February 2010|volume=405|issue=3|pages=2009–2015|doi=10.1111/j.1365-2966.2010.16612.x |doi-access=free |arxiv = 1001.0617 |bibcode = 2010MNRAS.405.2009Y |s2cid=118603499 }}</ref>
Numerous claims of large-scale structures reported to be in conflict with the predicted scale of homogeneity for ΛCDM do not withstand statistical analysis.<ref name=Nadathur>{{cite journal|last=Nadathur|first=Seshadri|title=Seeing patterns in noise: gigaparsec-scale 'structures' that do not violate homogeneity|journal=Monthly Notices of the Royal Astronomical Society|date=2013|volume=434|issue=1|pages=398–406|doi=10.1093/mnras/stt1028|doi-access=free |arxiv=1306.1700|bibcode =2013MNRAS.434..398N|s2cid=119220579}}</ref><ref name="Snowmass21"/>{{rp|7.8}}
=== KBC void ===
{{main|KBC void}}
The [[KBC void]] is an immense, comparatively empty region of space containing the [[Milky Way]] approximately 2 billion light-years (600 megaparsecs, Mpc) in diameter.<ref name="kbc">{{Cite journal | last1 = Keenan | first1 = Ryan C. | last2 = Barger | first2 = Amy J. | last3 = Cowie | first3 = Lennox L. | title = Evidence for a ~300 Mpc Scale Under-density in the Local Galaxy Distribution | journal = The Astrophysical Journal | volume = 775 | year = 2013 | issue = 1 | page = 62 | doi = 10.1088/0004-637X/775/1/62 |arxiv = 1304.2884 |bibcode = 2013ApJ...775...62K | s2cid = 118433293 }}</ref><ref name="siegel">{{cite web|url=https://www.forbes.com/sites/startswithabang/2017/06/07/were-way-below-average-astronomers-say-milky-way-resides-in-a-great-cosmic-void/#4d53c7cd6d05|title=We're Way Below Average! Astronomers Say Milky Way Resides In A Great Cosmic Void|last=Siegel|first=Ethan|work=[[Forbes]]|access-date=2017-06-09}}</ref><ref name="Snowmass21"/> Some authors have said the existence of the KBC void violates the assumption that the CMB reflects baryonic density fluctuations at <math>z = 1100</math> or Einstein's theory of [[general relativity]], either of which would violate the ΛCDM model,<ref name="Haslbauer">{{Cite journal|last1=Haslbauer|first1=M|last2=Banik|first2=I|last3=Kroupa|first3=P|date=2020-12-21|title=The KBC void and Hubble tension contradict LCDM on a Gpc scale – Milgromian dynamics as a possible solution|journal=Monthly Notices of the Royal Astronomical Society|volume=499|issue=2|pages=2845–2883|doi=10.1093/mnras/staa2348|arxiv=2009.11292|bibcode=2020MNRAS.499.2845H|issn=0035-8711|doi-access=free}}</ref> while other authors have claimed that supervoids as large as the KBC void are consistent with the ΛCDM model.<ref>{{Cite journal|last1=Sahlén|first1=Martin|last2=Zubeldía|first2=Íñigo|last3=Silk|first3=Joseph|date=2016|title=Cluster–Void Degeneracy Breaking: Dark Energy, Planck, and the Largest Cluster and Void|journal=The Astrophysical Journal Letters|volume=820|issue=1|pages=L7|doi=10.3847/2041-8205/820/1/L7|issn=2041-8205|arxiv=1511.04075|bibcode=2016ApJ...820L...7S|s2cid=119286482 |doi-access=free }}</ref>
