Minisuperspace Models in Histories Theory

TL;DR

This paper explores the application of histories theory to the Robertson-Walker minisuperspace model, focusing on quantisation, the classical limit, and cosmological initial conditions.

Contribution

It introduces a novel approach to quantising minisuperspace models within histories theory, addressing time-reparameterisation and probability estimation.

Findings

Successful quantisation of the model using reduced-state-space methods

Analysis of classical limit and initial conditions in histories framework

Discussion on probability estimation in quantum cosmology

Abstract

We study the Robertson-Walker minisuperspace model in histories theory, motivated by the results that emerged from the histories approach to general relativity. We examine, in particular, the issue of time-reparameterisation in such systems. The model is quantised using an adaptation of reduced-state-space quantisation. We finally discuss the classical limit, the implementation of initial cosmological conditions and estimation of probabilities in the histories context.