About its own time and the mass of the universe

St. Petersburg Polytechnical University Journal: Physics and Mathematics

Goltsev Alexander¹  Gorobey Natalia²  Lukyanenko Alexander² 

[1] Ioffe Physical-Technical Institute;Peter the Great St. Petersburg Polytechnic University;

关键词: universe;    proper time;    proper mass;    quantization;    hermitian operator;    dirac spinor;   

DOI  :  10.18721/JPM.14210

来源: DOAJ

【 摘 要 】

A modification of the quantum theory of gravity in the case of a closed universe, in which the dynamics is reduced to the motion in the orbit of a group of general covariance, is proposed. To connect the parameters of this motion - proper time and spatial shifts - with observations, their classical equations of motion are introduced into the quantum theory as additional conditions. The latter are differential conservation laws for additional dynamical variables, which, in the representation of Arnovitt, Deser and Misner (ADM), form the spatial density of distribution and motion of the universe's own mass. This makes it possible to determine the average values of the parameters of proper time and spatial shifts in the history of its evolution. After that, in order to preserve the homogeneity and isotropy of space, the own mass of the universe should be set equal to zero. Nonzero values of its own mass (mass spectrum) are allowed in the operator canonical representation of the theory of gravity, which is also introduced instead of the ADM representation.

【 授权许可】

Unknown