Observational Evidences of the Cosmological Deceleration of Time
  Constancy of the speed of light together with the Hubble law lead in a doctrine of expanding universe to a conclusion that universe evolution is not only an expansion of space but also a deceleration of the course of physical time (Taganov, 2003). Duration of any physical process measured by decelerating physical time is always longer, than corresponding duration, measured by a scale of invariable uniform Newtonian time. All the processes uniform or moderately decelerating in physical time appear accelerating when interpreted in terms of uniform invariable Newtonian time. The article describes several observational evidences of a phenomenon of the cosmological deceleration of time: the redshift survey of distant supernovae demonstrates apparent acceleration of the universe expansion; accelerations in the Earth-Moon system reveal reliable differences if estimated with the use of ancient and contemporary astronomical data. Deceleration of the physical time reveals itself in isotopic chronology by systematic divergence of samples Newtonian ages, estimated with the use of isotopes with different rates of decay. 
Igor N. Taganov (Russian Geographical Society)