No, new measurements can't relax the Hubble tension - There are two different ways to measure the expansion rate of the Universe, and they don’t agree. And no, new measurements don’t help.
The new claims from the “CCHP” group, asserting that the Hubble tension can be resolved by an in-between value for the expansion rate, are very troublesome for two reasons. First, there isn’t even a paper (not even an unpublished preprint) to refer to, where others in the community can see their work. But secondly and perhaps even more importantly, (...)
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Secondly (and now I say that from memory) that other group had a larger margin of error so their measurement should not be taken to disprove the Hubble tension.