The standard $\mathrm{\Lambda }$-cold dark matter model has encountered serious challenges and the $H_0$ tension has become more significant with increasingly precise cosmological observations. Meanwhile, inconsistencies in measurements of the curvature parameter ${\mathrm{\Omega }}_K$ between different datasets also have emerged. In this Letter, we employ two global and cosmic age-based parametrizations, a parametrization based on cosmic age (PAge) and a more accurate parameterization based on cosmic age (MAPAge), to perform model-independent measurements of the Hubble constant $H_0$ and ${\mathrm{\Omega }}_K$ by utilizing the inverse distance ladder (IDL). To construct the PAge-improved IDL, we utilize the strong gravitational lensing (SGL), cosmic chronometers (CCs), and $\gamma$-ray burst (GRB) data to calibrate the latest Dark Energy Spectroscopic Instrument (DESI) second data release baryon acoustic oscillation and Dark Energy Survey (DES) year 5 or DES-Dovekie type Ia supernova data. Our analysis indicates that DESI+DES-Dovekie+SGL+CC+GRB gives $H_0=72.20\pm 1.00\mathrm{km}{\mathrm{s}}^{-1}{\mathrm{Mpc}}^{-1}$ in the MAPAge model, reducing the $H_0$ tension to the $0.6\sigma$ level. Extending to the $\mathrm{MAPAge}+{\mathrm{\Omega }}_K$ model, we obtain ${\mathrm{\Omega }}_K=0.005\pm 0.037$, which suggests that current late-time data are consistent with a flat universe. Finally, the Bayesian analysis indicates that the present late-Universe data provide weak to moderate evidence in favor of PAge and MAPAge relative to $\mathrm{\Lambda }\mathrm{CDM}$.

Close

PrevNext

View figure in article

• Cosmological parameters
• Cosmology
• Dark energy
• Large scale structure of the Universe