Tomographic entropy and cosmology

Details Tomographic entropy and cosmology Tomographic entropy and cosmology

2006-12-12

arxiv.org/abs/gr-qc/0612073v1

Gen.Rel.Grav.40:1449-1465,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages

Scientific paper

10.1007/s10714-007-0571-7

The probability representation of quantum mechanics including propagators and tomograms of quantum states of the universe and its application to quantum gravity and cosmology are reviewed. The minisuperspaces modeled by oscillator, free pointlike particle and repulsive oscillator are considered. The notion of tomographic entropy and its properties are used to find some inequalities for the tomographic probability determining the quantum state of the universe. The sense of the inequality as a lower bound for the entropy is clarified.

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