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Nota de FísicaPublicado

Must Quantum Spacetimes be Euclidean?

Nelson Pinto Neto; Eduardo Sergio Santini

1998

Datos de la publicación

Autores
Nelson Pinto Neto; Eduardo Sergio Santini
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
1998
Descripción
The Bohm-de Broglie interpretation of quantum mechanics is applied to canonical quantum cosmology. 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 a 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. Due to the more detailed description of quantum geometrodynamics given by the Bohm-de Broglie interpretation, some new boundary conditions on solutions of the Wheeler-DeWitt equation must be imposed in order to preserve consistency of this finer view.
Año
1998
Número
CBPF-NF-077/98
Vínculo con tesis
No
Vínculo con beca
No
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