De Broglie-Bohm Interpretation for Analytic Solutions of the Wheeler-DeWitt Equation in Spherically Symmetric Space-Time

We discuss the implications of a wave function for quantum gravity that involves nothing but 3-dimensional geometries as arguments and is invariant under general coordinate transformations. We derive an analytic wave function from the Wheeler-DeWitt equation for spherically symmetric space-time with...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2001-06, Vol.105 (6), p.897-914
Main Authors: Kenmoku, Masakatsu, Kubotani, Hiroto, Takasugi, Eiichi, Yamazaki, Yuki
Format: Article
Language:English
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Summary:We discuss the implications of a wave function for quantum gravity that involves nothing but 3-dimensional geometries as arguments and is invariant under general coordinate transformations. We derive an analytic wave function from the Wheeler-DeWitt equation for spherically symmetric space-time with the coordinate system arbitrary. The de Broglie-Bohm interpretation of quantum mechanics is applied to the wave function. In this interpretation, deterministic dynamics can arise from a wave function in fully quantum regions as well as in semiclassical regions. By introducing a coordinate system, we obtain a cosmological black hole picture in compensation for the loss of general covariance.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.105.897