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Does the Universe have its own mass?

Natalia GorobeyAlexander LukyanenkoA. V. Goltsev
Dec 2022
摘要
Within the framework of the previously proposed formulation of the quantumtheory of gravity in terms of world histories, it was suggested that theuniverse has its own mass. This quantity is analogous to the mass of a particlein relativistic mechanics. The mass of the universe is a distribution ofnon-zero values of gravitational constraints, which arises and changes in timeas a consequence of the initial conditions for fundamental dynamic variables. Aformulation of the Euclidean quantum theory of gravity is also proposed todetermine the initial state, which can be the source of the universe's ownmass. Being unrelated to ordinary matter, the distribution of its own massaffects the geometry of space and forms a dedicated frame of reference. Theexistence of selected reference systems is taken into account by thecorresponding modification of the system of quantum gravitational links. Avariant of such a modification of the Wheeler-De Witt equation is the operatorrepresentation of gravitational constraints, which, together with the state ofthe universe, determines the parameters of the reference system in the form ofa distribution of the spinor field on a spatial section.
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