Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-05-22
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
PhD Thesis at CBPF-Rio de Janeiro-May 2000 (Advisor: N. Pinto-Neto, 95 pages, in Portuguese)
Scientific paper
In this thesis the Bohm-de Broglie interpretation of quantum mechanics is applied to canonical quantum gravity. It is shown that, irrespective of any regularization or choice of factor ordering of the Wheeler-DeWitt equation, the unique relevant quantum effect which does not break spacetime is the change of its signature from lorentzian to euclidean. The other quantum effects are either trivial or break the four-geometry of spacetime. A Bohm-de Broglie picture of quantum geometrodynamics is constructed, which allows the investigation of these latter structures. For instance, it is shown that any real solution of the Wheeler-De Witt equation yields a generate four-geometry compatible with the strong gravity limit of General Relativity and the Carroll group. We prove that quantum geometrodynamics in the Bohm-de Broglie interpretation is consistent for any quantum potential. As a previous step to introduce our metodology, we study the quantum theory of fields in Minkowski spacetime in the Bohm-de Broglie interpretation and exhibit a concrete example where Lorentz invariance of individual events is broken.
No associations
LandOfFree
Quantum Geometrodynamics in the Bohm-de Broglie Interpretation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum Geometrodynamics in the Bohm-de Broglie Interpretation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Geometrodynamics in the Bohm-de Broglie Interpretation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-82722