Multidimensional Quantum Cosmology: Quantum Wormholes, Third Quantization, Inflation from "Nothing", etc

TL;DR

This paper explores multidimensional quantum cosmology models with Einstein spaces, finding integrable classes, quantum wormhole solutions, and mechanisms for inflation from 'nothing' using third quantization.

Contribution

It introduces new integrable multidimensional cosmological models and applies third quantization to derive quantum wormholes and inflationary scenarios from Euclidean regions.

Findings

Identified classes of integrable models at classical and quantum levels.

Derived quantum wormhole solutions in these models.

Explored inflationary universe emergence from Euclidean regions.

Abstract

A multidimensional cosmological model with space-time consisting of n (n>1) Einstein spaces M_i is investigated in the presence of a cosmological constant Lambda and m homogeneous minimally coupled scalar fields as a matter source. Classes of the models integrable at classical as well as quantum levels are found. These classes are equivalent to each other. Quantum wormhole solutions are obtained for them and the procedure of the third quantization is performed. An inflationary universe arising from classically forbidden Euclidean region is investigated for a model with a cosmological constant.