The Cosmological Constant: 2nd Order Quantum-Mechanical Correction to the Newton Gravity - Open Access Library Journal

OALibJ > Vol.6 No.5, May 2019

The Cosmological Constant: 2nd Order Quantum-Mechanical Correction to the Newton Gravity ()

HTML XML

Download as PDF (Size: 1154KB) PP. 1-15

DOI: 10.4236/oalib.1105400 375 Downloads 1,062 Views Citations

Author(s)

Piero Chiarelli^1,2

Affiliation(s)

¹National Council of Research of Italy, Moruzzi, Pisa, Italy.
²Bhabha Atomic Research Center, Mumbai, India.

ABSTRACT

The work shows that the associated Einstein-like gravity for the Klein-Gordon field shows the spontaneous emergence of the “cosmological” 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.

KEYWORDS

Non-Minkowskian Hydrodynamic Representation of Quantum Equations, Einstein Gravity of Classical Fields, Energy-Impulse Tensor of Classical Klein-Gordon Field, Cosmological Constant

Share and Cite:

Chiarelli, P. (2019) The Cosmological Constant: 2nd Order Quantum-Mechanical Correction to the Newton Gravity. Open Access Library Journal, 6, 1-15. doi: 10.4236/oalib.1105400.

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies