Lack of cosmological expansion versus the Hubble crisis

Abstract

The Hubble constant H0 characterizes the rate of cosmological expansion in the ΛCDM model. It is a free parameter of this model and is measured using indirect, model-dependent methods. One of the model’s most pressing problems is the statistically significant difference between the Hubble constant values measured at low and high redshifts - the Hubble crisis. Many hypotheses have been put forward regarding the causes of this crisis and ways to resolve it. However, the nature of this anomaly in the generally accepted model remains unclear. It is shown here that the overestimated values of the Hubble constant in local measurements can be eliminated by replacing the accepted redshift mechanism with a local quantum one. The Hubble crisis is considered as a manifestation of the weakening of the light flux due to the scattering of photons by background gravitons within the framework of the low-energy model of quantum gravity. A comparison was made of the two-parameter luminosity distance function corresponding to this quantum mechanism with asimilar function in the ΛCDM model, which best describes observations. Estimates were obtained for the light attenuation parameter, which replaces the effect of dark energy, and for the Hubble constant in the new model without cosmological expansion. The resulting estimate of the Hubble constant: H0 = 67.6 ±1.6 0.8 km · s−1 · M pc−1|b =1.9 agrees well with the results of measurements at large redshifts and the theoretical value of this constant in this model. The results of this comparison of the two luminosity distance functions indicate that the cause of the Hubble crisis may be related to the very foundations of the accepted cosmological model.