Cosmological model in 5D: Stationarity, yes or no

Abstract

The tired-light cosmology is considered in the framework of Kaluza-Klein theory in 5D. The solution of the five-dimensional semi-classical Einstein equations with nonzero five-dimensional energy-momentum tensor gives density of matter in the Universe well conformed to the observations. Variation of the light velocity and change of the rest energy and mass are interrelated. Variation of the Planck constant and electron charge is determined from formula for hydrogen spectral frequencies and observations of the fine-structure. Physical constants variation presents as explanation of anomalous change of the length of a received wave detected during radiometric analysis of Pioneer 10/11 spacecraft data. Contemporary measurements accuracy of the Microwave Cosmic Background doesn't allow to determine tendency of its parameters change permitting choice between stationary and expanding Universe's model.