Quantum corrections to the dynamics of the expanding universe

Abstract

The dynamics of the expanding universe is analyzed in terms of the quantum geometrodynamical model. It is shown that the equations of quantum theory in the form of the eigenvalues equation similar to the stationary Schrödinger equation complemented by the equations of motion for the momentum operator and its time derivative in Heisenberg's form reduce to the Einstein equations with an additional source of the gravitational field of quantum nature. The spatially closed universe with cosmological constant, originally filled with a uniform scalar field and radiation, is considered as quantum cosmological system. The perfect fluid in the form of radiation defines the material reference frame. The properties of the averaged scalar field which acts like ordinary matter are investigated. After averaging over its quantum states, the free scalar field turns into the Weyssenhoff fluid characterized by the energy density, pressure, and spin of constituent particles. The cases when the contribution of the quantum effects into the gravitational interaction becomes significant on macroscopic scale are analyzed. It is demonstrated that, unless the whole, at least a part of such matter-energy constituents as dark matter and dark energy may have a quantum origin.

20 pages, v.2: a few sections are revised, new references

References in corpus (2)

• Planck 2013 results. I. Overview of products and scientific results
• Accelerating Quantum Universe

Cited by in corpus (6)

• The Hubble tension from the standpoint of quantum cosmology
• Generalized uncertainty principle in quantum cosmology for the maximally symmetric space
• The matter-energy intensity distribution in a quantum gravitational system
• Minisuperspace model of quantum geometrodynamics in the Madelung-Bohm formalism
• Comparative description of the evolving universe in classical and quantum geometrodynamics
• Quantum dynamics of the early universe