# Theoretical Derivation of the Cosmological Constant in the Framework of the Hydrodynamic Model of Quantum Gravity: Can the Quantum Vacuum Singularity Be Overcome

Theoretical Derivation of the Cosmological Constant in the Framework of the Hydrodynamic Model of Quantum Gravity: Can the Quantum Vacuum Singularity Be Overcome - Download this document for free, or read online. Document in PDF available to download.

1

National Council of Research of Italy, Area of Pisa, Pisa 56124, Italy

2

Interdepartmental Center -E.Piaggio-, University of Pisa, Pisa 56124, Italy

Academic Editor: Emilio Elizalde

Abstract In the present work, it is shown that the problem of the cosmological constant CC is practically the consequence of the inadequacy of general relativity to take into account the quantum property of the space. The equations show that the cosmological constant naturally emerges in the hydrodynamic formulation of quantum gravity and that it does not appear in the classical limit because the quantum energy-impulse tensor gives an equal contribution with opposite sign. The work shows that a very large local value of the CC comes from the space where the mass of a quasi-punctual particle is present but that it can be as small as measured on cosmological scale. The theory shows that the small dependence of the CC from the mean mass density of the universe is due to the null contribution coming from the empty space. This fact gives some hints for the explanation of the conundrum of the cosmic coincidence by making a high CC value of the initial instant of universe compatible with the very small one of the present era. View Full-Text

Keywords: quantum gravity; cosmological constant; dark energy; quantum vacuum energy density; cosmic coincidence conundrum; vacuum catastrophe; 04.60.-m quantum gravity; cosmological constant; dark energy; quantum vacuum energy density; cosmic coincidence conundrum; vacuum catastrophe; 04.60.-m

Author: **Piero Chiarelli 1,2 **

Source: http://mdpi.com/