CMBR anisotropy: Theoretical approaches

A version of the cosmological perturbation theory based on exact resolution of the energy constraint is developed. In this version, the conformal time is invariant with respect to the diffeomorphisms of general relativity, and the scalar perturbations are the potential ones in accordance with the Dirac minimal surface constraint. The exact resolution gives one a possibility to fulfill the Hamiltonian reduction and to explain the “CMBR primordial power spectrum” and other problems of modern cosmology by quantization of the energy constraint and cosmological creation of matter.