p-Adic and Adelic Generalization of Quantum Cosmology

TL;DR

This paper explores p-adic and adelic extensions of quantum cosmology, revealing that adelic wave functions encode discrete space-time structures at the Planck scale, thus advancing the understanding of quantum gravity models.

Contribution

It demonstrates the existence of vacuum eigenstates in p-adic and adelic quantum cosmology, extending previous models and linking wave functions to space-time discreteness.

Findings

Existence of vacuum eigenstates in p-adic and adelic quantum cosmology

Adelic wave functions encode discrete space-time structures

Extension of quantum cosmology models to p-adic and adelic frameworks

Abstract

p-Adic and adelic generalization of ordinary quantum cosmology is considered. In [1], we have calculated p-adic wave functions for some minisuperspace cosmological models according to the "no-boundary" Hartle-Hawking proposal. In this article, applying p-adic and adelic quantum mechanics, we show existence of the corresponding vacuum eigenstates. Adelic wave function contains some information on discrete structure of space-time at the Planck scale.