%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