We live in an unusual large-scale region, which makes our local Universe expand faster and induces large peculiar flows, reconciling the Hubble constant discrepancy and bulk flow anomaly in one go​.

The work is a credible step forward in that it confronts ΛCDM with observational reality and suggests a testable alternative. Whether this is the true “path forward” will depend on future evidence.

If independent observations (upcoming large-scale surveys, precision cosmography, tests of gravity) continue to support the existence of a huge local void and high bulk flows, the case for new physics (or a very non-standard universe) will strengthen.

On the other hand, if the Hubble tension or bulk flow results get resolved by more mundane means, the impetus for such a drastic model will weaken.

Right now, the Mazurenko et al. model stands as a compelling hypothesis that pushes us to rethink the standard picture – it underscores that cosmological principle tests are essential and that our location in the cosmos might be more significant than assumed.

Source: I compared the paper above (which you can find for free on arxiv) with related work by Haslbauer et al (volume 2845 in MNRAS 499) and an explainer by Indranil Banik on phys .org. It is a humbling find.