p-Adic and Adelic Minisuperspace Quantum Cosmology

TL;DR

This paper explores p-adic and adelic quantum cosmology, demonstrating how these approaches introduce discreteness in minisuperspace models and the cosmological constant, especially in de Sitter space.

Contribution

It develops a consistent framework for p-adic and adelic quantum cosmology and highlights their effects on minisuperspace discreteness and the cosmological constant.

Findings

Discreteness of minisuperspace models due to p-adic effects.

Discreteness of the cosmological constant in these models.

De Sitter space exhibits inherent discreteness in this framework.

Abstract

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.