Is there a dynamical tendency in <i>H</i> ₀ with late time measurements?

Abstract The discrepancy between the Hubble constant H 0 values derived from early-time and late-time measurements, reaching up to 4 σ , represents the most serious challenge in modern cosmology and astrophysics. In this work, we investigate if a similar tension exists between only late time measurements at different redshifts. We use the latest public datasets including Cosmic Chronometers, Megamasers, SNe Ia and DESI-BAO, that span from redshift z ∼ 0 up to z ∼ 2.3. By dividing the data into redshift bins, we derive H 0 values from each bin separately. Our analysis reveals a phenomenological dynamic evolution in H 0 across different redshift ranges, with a significance from 1.5 σ and 2.3 σ , depending on the parameterization. Consistency of the model demands observational constancy of H 0 since it is an integration constant within the Friedmann-Lemaître-Robertson-Walker (FLRW) metric. Thus, these findings suggest that the observed Hubble tension might not only exist between early and late-time measurements but also among late-time data themselves, providing new insights into the nature of the Hubble tension.