Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-03-03
Phys.Rev. D54 (1996) 2564-2570
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Text is improved, a section is added with the discussion of quantum equilibrium hypothesis, references are added. LaTeX, 16 pa
Scientific paper
10.1103/PhysRevD.54.2564
The de~Broglie--Bohm (pilot wave) formulation of quantum theory appears to be free from the conceptual problems specific to quantum mechanics (problem of measurement) and to quantum cosmology (problem of time). We discuss the issue of quantum equilibrium which arises within its context. We then study the extension of this formulation to the case of gravity and demonstrate that 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 pilot wave dynamics is not invariant with respect to arbitrary change of foliation, or, in other terms, that quantum non-locality takes place. We also discuss general structure of a realistic pilot wave theory which could describe the universe.
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