On the time dependency of [formula omitted

Abstract

In this paper, we test one of the prediction of the Scale Invariant Vacuum (SIV) theory on MOND. According to that theory, MOND’s acceleration a0 is not a universal quantity but depends from several parameters, and from time. To check this prediction, we compare the dependency of a0 from redshift, using the values of a0 obtained by Marra et al. (2020) carrying a Bayesian inference for 153 galaxies of the SPARC sample. Since this sample does not contain galaxies at large redshift, we estimated a0 from the Nestor Shacha et al. (2023) data. The SPARC sample, for small values of the redshift, in the redshift range 0.00032–0.032 gives a correlation with z, and the Nestor Shacha et al. (2023) data, in the higher redshift range 0.5–2.5 gives an anti-correlation with the redshift z. Both samples show a dependency of a0 from z. The different behavior at low and high redshift can be related to a change of the a0(z) with redshift, or to the lower precision with which the high redshift value of a0 are known.