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I remember reading that the local group, Laniakea Supercluster and the great attractor [1] are new developments that helped us refine our understanding of H0 but didn't fundamentally remove the controversy.

It's exciting to see how the question drives many new discoveries.

[1] https://en.wikipedia.org/wiki/Great_Attractor

I'll try to paraphrase what it meant: measuring H0 comes down to measuring the relative velocity of galaxies around us. The great attractor was a relatively recent discovery that the "closer" galaxies, the ones we can use in the distance ladder, all have a common component in their velocities which we've recently begun to understand better.



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