Cosmological extrapolation of MOND

TL;DR

This paper extends MOND to cosmology by making the critical acceleration depend linearly on region size, successfully explaining supernova brightness and large-scale structure without dark matter.

Contribution

It introduces a cosmological extrapolation of MOND with a size-dependent critical acceleration, aligning with observations without dark matter.

Findings

Consistent with supernova brightness-redshift relation

Matches large-scale structure parameters

No need for dark matter in the model

Abstract

Regime of MOND, which is used in astronomy to describe the gravitating systems of island type without the need to postulate the existence of a hypothetical dark matter, is generalized to the case of homogeneous distribution of usual matter by introducing a linear dependence of the critical acceleration on the size of region under consideration. We show that such the extrapolation of MOND in cosmology is consistent with both the observed dependence of brightness on the redshift for type Ia supernovae and the parameters of large-scale structure of Universe in the evolution, that is determined by the presence of a cosmological constant, the ordinary matter of baryons and electrons as well as the photon and neutrino radiation without any dark matter.