Mario Castagnino et al 2002 Class. Quantum Grav. 19 4729 doi:10.1088/0264-9381/19/18/308
Time asymmetries in quantum cosmology and the search for boundary conditions to the Wheeler–DeWitt equation
Mario Castagnino1,2, Gabriel Catren1,2 and Rafael Ferraro1,2
Show affiliationsThis paper addresses the quantization of minisuperspace cosmological models by studying a possible solution to the problem of time and time asymmetries in quantum cosmology. Since general relativity does not have a privileged time variable of Newtonian type, it is necessary, in order to have a dynamical evolution, to select a physical clock. This choice yields, in the proposed approach, to the breaking of the so-called clock-reversal invariance of the theory which is clearly distinguished from the well-known motion-reversal invariance of both classical and quantum mechanics. In light of this new perspective, the problem of imposing proper boundary conditions on the space of solutions of the Wheeler–DeWitt equation is reformulated. The symmetry-breaking formalism of previous papers is analyzed and a clarification of it is proposed in order to satisfy the requirements of the new interpretation.
- PACS
- MSC
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81S10 Geometry and quantization, symplectic methods (See also 53D50)
- Subjects
- Dates
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Issue 18 (21 September 2002)
Received 9 April 2002
Published 2 September 2002
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Time asymmetries in quantum cosmology and the search for boundary conditions to the Wheeler–DeWitt equation
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