A Critical Discussion on the H0 Tension

A critical discussion on the H₀ Hubble constant tension is presented by considering both early and late-type observations. From recent precise measurements, discrepancies emerge when comparing results for some cosmological quantities obtained at different redshifts. We highlight the most relevant measurements of H₀ and propose potential ideas to solve its tension. These solutions concern the exploration of new physics beyond the CDM model or the evaluation of H₀ by other methods. In particular, we focus on the role of the look-back time.