2004/10/12 by Hristu Culetu, Culetu, Hristu
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0410133
8 pages, minor changes, new reference added
arxiv created 2004/11/22 · arxiv updated 2009/12/01
A possible connection between the energy W of the vacuum fluctuations of quantum fields and gravity in "empty space" is conjectured in this paper using a natural cutoff of high momenta with the help of the gravitational radius of the vacuum region considered. We found that below some "critical" length L = 1 mm the pressure sigma is one third of the energy density epsilon, as for dark matter, but above 1 mm the equation of state is sigma = -(epsilon) (dark energy). In the case of a massive field, W does not depend on the mass of the field for L<<1 mm but for L>>1 mm it does not depend on the Planck constant. In addition, when the Newton constant tends to zero, W becomes infinite. The energy density is also a function of the volume V of the vacuum region taken into account.