Cosmological Models of the Universe with Rotation of Time's Arrow

摘要

The paper treats cosmological models of the universe with rotation of time's arrow. The hypothesis of cosmological CPT symmetry previously advanced by the author and the hypothesis of a many-sheeted open model with negative space curvature and an invariant combined charge are presented. The statistical paradox of the reversibility and baryon asymmetry of the universe is discussed with respect to these models. The fundamental possibility of estimating (in absolute magnitude) the serial number of the expansion-contraction cycle corresponding to the present stage of evolution of the universe is pointed out for the many-sheeted model with rotation of time's arrow. The small dimensionless quantity 10 exp -58 = delta exp 2 / alpha exp 2 (where alpha is the hyperbolic radius and delta exp -3 the entropy density), which characterizes the average space curvature of the universe, is explained as a result of the evolution of the universe in the course of many successive expansion-contraction cycles. (ERA citation 05:031259)