Cosmological Histories for the New Variables

TL;DR

This paper explores quantum cosmology using path integral quantization of Bianchi IX models in Ashtekar variables, revealing a significant correction to the measure that impacts Planck-scale universes.

Contribution

It introduces a novel correction to the measure in quantum cosmology, derived via path integrals in Ashtekar variables, and compares it with previous approaches.

Findings

A non-trivial correction to the measure is identified.

The correction may dominate the classical potential at Planck scale.

Comparison with earlier work highlights differences in measure calculations.

Abstract

Histories and measures for quantum cosmology are investigated through a quantization of the Bianchi IX cosmology using path integral techniques. The result, derived in the context of Ashtekar variables, is compared with earlier work. A non-trivial correction to the measure is found, which may dominate the classical potential for universes on the Planck scale.