Multidimensional Treatment of the Expanding Universe

Abstract

The simplest six-dimensional treatment of the expanding Universe in the form a three-dimensional sphere appeared as a result of the intersection of three simplest geometrical objects of finite sizes in the six-dimensional Euclidean space – of three uniformly expanding five-dimensional spheres – with account of an increase of speed of light in cosmic time (a measure of expansion of five-dimensional spheres) is given. Its effect on redshift for distant sources and theoretical redshift dependencies compared with observed data are demonstrated. A scenario in which the speed of elementary particles, including photons, in the six-dimensional space is constant in cosmic time is considered. This scenario corresponds to the energy conservation condition in that space. Some difficulties of standard cosmology are discussed on the base of six-dimensional cosmology. Recurrent formulas generalized the theory on the case when three original perturbations in the form of (n-1) - dimensional spheres expand in -dimensional space.