Multiple measurements of quasars acting as standard probes:Model independent calibration and explori

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Recently,two classes of quasar samples were identified,which are promising as new cosmological probes extending to higher redshifts.The first sample uses the nonlinear relation between the ultraviolet and X-ray luminosities of quasars to derive luminos-ity distances,whereas the linear sizes of compact radio quasars in the second sample can serve as standardized rulers,providing angular-diameter distances.In this study,under the assumption of a fiat universe,we refreshed the calibration of multiple mea-surements of high-redshift quasars (in the framework of a cosmological-model-independent method with the newest Hubble parameters data).Furthermore,we placed constraints on four models that characterize the cosmic equation of state (w).The obtained results show that:(1) the two quasar samples could provide promising complementary probes at much higher redshifts,whereas compact radio quasars perform better than ultraviolet and X-ray quasars.at the current observational level;(2) strong degeneracy between the cosmic equation of state (w) and Hubble constant (H0) is revealed,which highlights the importance of independent determination of H0 from time-delay measurements of strongly lensed quasars;(3) together with other standard ruler probes,such as baryon acoustic oscillation dis tance measurements,the combined QSO+BAO measurements are consistent with the standard ACDM model at a constant equation of state w =-1;(4) ranking the cosmological models,the polynomial parametrization gives a rather good fit among the four cosmic-equation-of-state models,whereas the Jassal-Bagla-Padmanabhan(JBP) parametrization is substantially penalized by the Akaike Information Criterion and Bayesian Information Criterion.
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