Pilot wave quantum cosmology
Mar, 199514 pages
Published in:
- Phys.Rev.D 54 (1996) 2564-2570
e-Print:
- gr-qc/9503005 [gr-qc]
Report number:
- ITF-95-8E
View in:
Citations per year
Abstract: (arXiv)
The aim of this paper is to extend the pilot wave formulation of quantum theory invented by Bohm to encompass the case of gravity. In this treatment the theory is free from the conceptual problems specific to quantum mechanics (wave function reduction, quantum-to-classical transition) and to quantum cosmology (issue of time). In pilot wave formulation the qualitative difference between the classical and the quantum dynamics disappears: classical dynamics is governed by a function (functional) which obeys classical Hamilton-Jacobi equation, whereas quantum dynamics is governed in just the same way by the phase of the wave function (functional) which obeyswhat might be called quantum Hamilton-Jacobi equation. When this approach is applied to gravity new features arise. Namely, the foliation of spacetime by space-like hypersurfaces obtained during the solution of the quantum problem turns out to be distinguished in general. This means that quantum dynamics, in distinction from the classical one, is not invariant with respect to arbitrary change of foliation, or, in other terms, that quantum non-locality takes place.- 98.80.Hw
- 03.65.Bz
- 04.60.Ds
- quantum gravity
- quantum mechanics
- astrophysics: wave function
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