Mathematics – Logic
Scientific paper
Mar 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988cqgra...5..521g&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 5, March 1, 1988, p. 521-531.
Mathematics
Logic
76
Cosmology, Gravitation Theory, Metric Space, Minkowski Space, Thermophysical Properties, Covariance, Isotropism, Vacuum
Scientific paper
A metric-affine geometrical structure is used to formulate a generalized theory of gravity, in which the motion of a test particle is characterized by a finite proper acceleration in the local tangent space. According to the local equivalence, valid for quantum systems, between acceleration and temperature, the theory is thermally interpreted as an effective classical description of the finite temperature geometry experienced by quantum fields at a microscopic level. In the macroscopic limit, the averaged contribution of the temperature to the effective geometry is represented by a cosmological constant, which can be interpreted then as a measure of the intrinsic temperature of the vacuum. With this interpretation it seems possible to understand why, on a cosmic scale, the current value of the cosmological constant must be so small, as implied by present observations.
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