Conception of quantum cosmology
  Quantum cosmology describes universe as a relativistic object with an evolution defined by an equation for the energy density corresponding to the least action principle: (Taganov, 2008). In quantum cosmology this equation plays the same role as the Planck equation does in quantum physics. Universe evolution consists of not only the space expansion but also a deceleration of the course of physical time. Durations of all processes, measured by decelerating physical time, are always longer, than corresponding durations, measured by a scale of the invariable uniform Newtonian time. Quantum interpretation of the redshift phenomenon enables to estimate the Hubble parameter by means of fundamental physical constants. In the course of evolution, the universe retains the self-similarity defined by the constancy of the characteristic scale relations for micro- and mega worlds with an average fractal dimension of the typical cosmic large-scale structures D=2. Quantum cosmology advances new relations for the microwave background parameters, apparent stellar magnitudes and redshifts; formulae for the cosmological increase of the macroscopic space- and time- characteristics and evaluation of quasar redshifts and luminosities. 
Igor N. Taganov (Russian Geographical Society)