The BKL scenario, infrared renormalization, and quantum cosmology

TL;DR

This paper explores how inhomogeneity and infrared renormalization influence quantum cosmology, using effective field theory and BKL scenario insights to refine minisuperspace models.

Contribution

It introduces new conditions and mathematical constructions for minisuperspace models informed by inhomogeneity and BKL insights, advancing quantum cosmology frameworks.

Findings

Effective field theory provides key ingredients for quantum cosmology.

Constraints on parameters in minisuperspace models are derived.

Examples show the restrictive nature of proposed conditions.

Abstract

A discussion of inhomogeneity is indispensable to understand quantum cosmology, even if one uses the dynamics of homogeneous geometries as a first approximation. While a full quantization of inhomogeneous gravity is not available, a broad framework of effective field theory provides important ingredients for quantum cosmology. Such a setting also allows one to take into account lessons from the Belinski-Khalatnikov-Lifshitz (BKL) scenario. Based on several new ingredients, this article presents conditions on various parameters and mathematical constructions that appear in minisuperspace models. Examples from different approaches demonstrate their restrictive nature.