On the anisotropic distribution of clusters in the local Universe

In his 2021 lecture to the Canadian Association of Physicists Congress, P.J.E. Peebles pointed out that the brightest extra-galactic radio sources tend to be aligned with the plane of the de Vaucouleur Local Supercluster up to redshifts of $z=0.02$ ($d_{\rm MW}\approx 85~\rm{Mpc}$). He then asked whether such an alignment of clusters is anomalous in the standard $\Lambda$CDM framework. In this letter, we employ an alternative, absolute orientation agnostic, measure of the anisotropy based on the inertia tensor axis ratio of these brightest sources and use a large cosmological simulation from the FLAMINGO suite to measure how common such an alignment of structures is. We find that only 3.5% of randomly selected regions display an anisotropy of their clusters more extreme than the one found in the local Universe's radio data. This sets the region around the Milky Way as a $1.85\sigma$ outlier. Varying the selection parameters of the objects in the catalogue, we find that the clusters in the local Universe are never more than $2\sigma$ away from the simulations' prediction for the same selection. We thus conclude that the reported anisotropy, whilst note-worthy, is not in tension with the $\Lambda$CDM paradigm.