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Anisotropic quantum cosmological models: a discrepancy between many-worlds and dBB interpretations | | F.G. Alvarenga
; A.B. Batista
; J.C. Fabris
; S.V.B. Goncalves
; | | Date: |
4 Feb 2002 | | Subject: | gr-qc hep-th quant-ph | | Abstract: | In the isotropic quantum cosmological perfect fluid model, the initial singularity can be avoided, while the classical behaviour is recovered asymptotically. We verify if initial anisotropies can also be suppressed in a quantum version of a classical anisotropic model where gravity is coupled to a perfect fluid. Employing a Bianchi I cosmological model, we obtain a "Schrödinger-like" equation where the matter variables play de role of time. This equation has a hyperbolic signature. It can be explicitly solved and a wave packet is constructed. The expectation value of the scale factor, evaluated in the spirit of the many-worlds interpretation, reveals an isotropic Universe. On the other hand, the bohmian trajectories indicate the existence of anisotropies. This is an example where the Bohm-de Broglie and the many-worlds interpretations are not equivalent. It is argued that this inequivalence is due to the hyperbolic structure of the "Schrödinger-like" equation. | | Source: | arXiv, gr-qc/0202009 | | Other source: | [GID 412136] gr-qc/0202009 | | Services: | Forum | Review | PDF | Favorites | |
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