Some Connections between Quantum Tunneling and Inflation

TL;DR

This paper explores the relationship between quantum tunneling and inflation by analyzing the Wheeler-DeWitt equation across four models, showing conditions where tunneling potentials correspond to inflationary behavior.

Contribution

It establishes a connection between quantum tunneling potentials and classical inflation in different models using the Wheeler-DeWitt framework.

Findings

Tunneling potentials are linked to inflationary solutions in the models.

Classical inflation occurs under the same conditions as quantum tunneling.

The study provides a unified view of quantum and classical cosmological phenomena.

Abstract

The Wheeler-DeWitt equation in the minisuperspace approximation is studied in four different models. Under certain circumstances each model leads to a tunneling potential and under the same circumstances the classical version of each model leads to inflation.