To H₀ or not to H₀?

This paper investigates whether changes to late-time physics can resolve the 'Hubble tension'. It is argued that many of the claims in the literature favouring such solutions are caused by a misunderstanding of how distance ladder measurements actually work and, in particular, by the inappropriate use of a distance ladder H-0 prior. A dynamics-free inverse distance ladder shows that changes to late-time physics are strongly constrained observationally and cannot resolve the discrepancy between the SH0ES data and the base Lambda CDM cosmology inferred from Planck. We propose a statistically rigorous scheme to replace the use of H-0 priors.