Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-10-15
Found.Phys.Lett. 13 (2000) 133-145
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages. LaTeX file. Revised version, some discussions expanded, several references added. The main results unchanged
Scientific paper
We discuss the entropy generation in quantum tunneling of a relativistic particle under the influence of a time varying force with the help of squeezing formalism. It is shown that if one associates classical coarse grained entropy to the phase space volume, there is an inevitable entropy increase due to the changes in position and momentum variances. The entropy change can be quantified by a simple expression $\Delta S=\ln\cosh 2r$, where $r$ is the squeeze parameter measuring the "height" and "width" of the potential barrier. We suggest that the universe could have acquired its initial entropy in a quantum squeeze from "nothing" and briefly discuss the implications of our proposal.
Feinstein Alexander
Perez Sebastian M. A.
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