Nowadays cosmology with the Weyl-Dirac approach

TL;DR

This paper explores how the Weyl-Dirac theory, an extension of Einstein's general relativity, can address key cosmological problems like the big bang singularity, dark matter, and dark energy through geometrically derived mechanisms.

Contribution

It introduces a minimal extension of Einstein's theory incorporating Weyl and Dirac fields to explain cosmological phenomena and universe behavior.

Findings

Weyl connection vector creates dark matter particles (weylons).

The Dirac gauge function etareates matter and dark energy at different universe stages.

etaorms dark energy causing cosmic acceleration and influences local gravitational effects.

Abstract

Some problems of cosmology: the big bang singularity, the origin of conventional matter, of dark matter and of dark energy may be successfully described and treated in the framework of the Weyl-Dirac theory. This theory, being a minimal expansion of Einstein's GRT, contains in addition to the metric tensor\g, the Weyl connection vector \w and the Dirac gauge function\beta. From these geometrically based quantities one obtains the behavior of our universe. The Weyl connection vector \w existing in microcells creates dark matter particles, weylons. In the very early universe \beta creates matter, whereas in the present dust period \beta forms dark energy, the latter causing cosmic acceleration. Around a massive body the - dark energy form a ball-like concentration having negative mass and negative pressure. These \beta-balls cause an additional acceleration of the expanding universe. The Weyl-Dirac theory is a classical geometrically based framework appropriate for describing and searching cosmology.