New Relativistic Cosmology Based on Principle of Scale Invariance

Gravitation and Cosmology. 2026. Vol. 32. No. 1. P. 7–13.

A. S. Rabinowitch

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.

Keywords: dark matter, Weyl's principle of scale invariance, Weyl's geometry, new relativistic cosmology