  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.
