>In general when using an algorithmic approach to identify clusters of points in a distribution, one must employ some criterion in order to decide whether the results obtained correspond to ‘real’ structures in the Universe, or are merely artefacts of the algorithm. One possible criterion is theoretical: if there is a good reason to believe that the points in the cluster are in fact gravitationally bound, for instance, or if its properties match those of structures that are expected to exist in the real Universe, it may be regarded as real. Alternatively, to assess unusual clusters which do not conform to theoretical expectation, the relevant criterion is whether they are unlikely to have arisen purely from noise.
Since the linkage length used to identify the Huge-LQG is so large, there is no reason I know of to believe that it forms a gravitationally bound structure. Certainly no real structures of such size are expected in the standard cosmology. On the other hand, when using this linkage length the clustering algorithm often finds such extended structures even in pure Poisson noise. It therefore appears that the Huge-LQG fails to satisfy either criterion, and so its interpretation as a ‘structure’ is highly questionable. This conclusion is even more applicable to the other slightly smaller quasar groups whose existence has also been claimed.