A Friedmann universe in the quantization scheme of reduced phase space

It is shown how, using action-angle variables in the scheme of quantization of reduced phase space, to construct a wave function for a Friedmann universe filled with harmonic excitations of photons and massive fermions, as well as to find physically observable quantities. Such an approach leads to an equation of the Schrödinger type, admits of a simple interpretation of the wave Junction, and enables one to trace the connection with classical evolution, which is fully reproduced in the proposed model. Within the framework of the reduced theory, massive fermions are described by action of the Nambu-Jona-Lasinio type with spontaneous breaking of chiral symmetry. The proposed scheme leads to consequences that are consistent with the Mach principle and Dirac’s hypothesis of large numbers.