p-Adic and Adelic Minisuperspace Quantum Cosmology

Details p-Adic and Adelic Minisuperspace Quantum Cosmology p-Adic and Adelic Minisuperspace Quantum Cosmology

2001-05-15

arxiv.org/abs/gr-qc/0105050v2

Int.J.Mod.Phys. A17 (2002) 1413-1434

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, Extended version which will be published in Int.J.Mod.Phys.A

Scientific paper

10.1142/S0217751X02009734

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.

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