Modern cosmology faces a large number of unsolved questions. These include the problem of cosmological singularity, the lack of explanations for the nature of dark matter, the existence of well-developed galaxies in the few hundred million years after the Big Bang, and a number of other questions. In this regard, a different approach to constructing cosmology is proposed. It examines a generalization of General Relativity based on Weyl’s principle of scale invariance. This generalization allows one to arrive at a nonstandard cosmological solution in which the Big Bang is absent. Its application leads to new explanations for the redshift in the spectra of distant galaxies and the cosmic microwave background, as well as to a new view on the nature of dark matter.
A. S. Rabinowitch (Sun,) studied this question.