%0 Journal Article
%T The Cosmological Constant: 2nd Order Quantum-Mechanical Correction to the Newton Gravity
%A Piero Chiarelli
%J Open Access Library Journal
%V 6
%N 5
%P 1-16
%@ 2333-9721
%D 2019
%I Open Access Library
%R 10.4236/oalib.1105400
%X
The work shows that the associated Einstein-like gravity for the Klein-Gordon field shows the spontaneous emergence of the ˇ°cosmologicalˇ± pressure tensor density (CPTD) that in the classical limit leads to the cosmological constant (CC). Even if the classical cosmological constant is set to zero, the model shows, that exists a residual theory-derived quantum CPTD. The work shows that the cosmological constant can be considered as a second order quantum-mechanical correction to the Newtonian gravity. The outputs of the theory show that the expectation value of the CPTD is independent by the zero-point vacuum energy density and that it takes contribution only from the space where the mass is localized (and the space-time is curvilinear) while tending to zero as the space-time approaches to the flat vacuum. A developed model of scalar matter universe shows an overall cosmological effect of the CPTD on the motion of the galaxies that agrees with the astronomical observations.
%K Non-Minkowskian Hydrodynamic Representation of Quantum Equations
%K Einstein Gravity of Classical Fields
%K Energy-Impulse Tensor of Classical Klein-Gordon Field
%K Cosmological Constant
%U http://www.oalib.com/paper/5356055