Anomalous violet radiation-frequency drift as a local manifestation of cosmological expansion

Abstract

On the basis of the Einstein-Poincare location procedure, a generalization of the space-time interval of special relativity explicitly including the Hubble parameter is proposed. It is shown that the direct kinematic consequence of the proposed expression is the existence of the universal systematic frequency shift toward higher frequencies. In the approximation linear with respect to the Hubble constant, this shift reproduces the observed Pioneer Anomaly with an error of order of 10%. The shift is induced by cosmological expansion, it is independent of the presence of gravitating centers, and, under proper experimental conditions, should be observed for any frequencies, including the optical range. The schematic diagram of experiment is proposed.