Mathematics – Logic
Scientific paper
Sep 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ncimb.112.1227h&link_type=abstract
Nuovo Cimento B, Vol. 112B, No. 9, p. 1227 - 1288
Mathematics
Logic
4
Cosmological Constant, Gravitational Constant
Scientific paper
The author re-examines the gravitational constant, cosmological constant and phases of quantum gravity based on the Wheeler-DeWitt equation, considering higher order contributions for the wave function in positive or negative (WKB) power expansions in terms of the Planck mass. It is found that, in an unstable state, the cosmological constant decreases with increasing ã(μ), and the gravitational constant increases with increasing ã(μ) for ã(μ) ≤ ã*(μ*) and decreases with increasing ã(μ) for ã(μ) ≥ ã*(μ*), where ã(μ) is a renormalized cosmic-scale factor and ã*(μ*) is a point in which the value of the gravitational constant becomes the maximum. This result may propose a new mechanism, in quantum gravity, which explain the facts that the observed cosmological constant is very small and gravitational forces are remarkably weak in atomic physics, by the old age of our expanding universe. The author also briefly discusses the relation between his results and Dirac's large-number hypothesis.
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