Primary Matter Creation in a Weyl–Dirac Cosmological Model

Abstract

In the framework of an integrable Weyl–Dirac (W–D) theory a cosmological model is proposed. It describes a universe that began its expansion from a primary pre-Planckian geometric entity containing no matter. During the pre-Planckian period, from R0=5.58×10−36 cm to RI=5.58×10−34 cm, this embryonic universe has undergone a very rapid expansion and cosmic matter was created by geometry. At RI the universe was already filled with matter having the Planckian density ρP and being in the state of prematter (P=−ρ), while the Weylian geometric elements were insignificant. This state is the Planckian egg that has served as the initial state of the singularity-free cosmological model(1) considered in the framework of Einstein's general theory of relativity. The W–D character of the geometry and the cosmological constant are significant in the pre-Planckian period during the matter creation. In the dust-dominated period a relic of the W–D geometry causes a global dark matter effect. In between the pre-Planckian and dust period one has Einstein's framework and Λ is negligible.