Quantization of a homogeneous isotropic cosmological model in five-dimensional field theory

A homogeneous isotropic cosmological model is quantized in the framework of fivedimensional field theory (unified theory of gravitation, electromagnetism, and a scalar field). A two-dimensional equation of DeWitt type with signature ($+-$) is obtained, which ensures the dynamics in the quantum variant of the theory. It is shown that the evolution of the quantum cosmological model is due to processes of redistribution of the matter in the Universe between its different forms.