p-Adic and Adelic Minisuperspace Quantum Cosmology

We consider the formulation and some elaboration of p-adic and adelic quantum cosmology. The adelic generalization of the Hartle-Hawking proposal does not work in models with matter fields. p-Adic and adelic minisuperspace quantum cosmology is well defined as an ordinary application of p-adic and ad...

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Bibliographic Details
Published in:arXiv.org 2002-04
Main Authors: Djordjevic, G S, Dragovich, B, Nesic, Lj D, Volovich, I V
Format: Article
Language:English
Subjects:
Astronomical models
Cosmological constant
Cosmology
Quantum mechanics
Quantum theory
Online Access:Get full text
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Summary:We consider the formulation and some elaboration of p-adic and adelic quantum cosmology. The adelic generalization of the Hartle-Hawking proposal does not work in models with matter fields. p-Adic and adelic minisuperspace quantum cosmology is well defined as an ordinary application of p-adic and adelic quantum mechanics. It is illustrated by a few minisuperspace cosmological models in one, two and three minisuperspace dimensions. As a result of p-adic quantum effects and the adelic approach, these models exhibit some discreteness of the minisuperspace and cosmological constant. In particular, discreteness of the de Sitter space and its cosmological constant is emphasized.
ISSN:2331-8422
DOI:10.48550/arxiv.0105050