Cosmological applications of loop quantum gravity

TL;DR

This paper explores how loop quantum gravity can be applied to cosmology, discussing its formalism, recent developments, and implications for quantum gravity phenomenology, aiming to be accessible to a broad scientific audience.

Contribution

It provides an accessible overview of loop quantum cosmology and presents new calculations of modified dispersion relations relevant for quantum gravity phenomenology.

Findings

Introduction of basic formalism of loop quantum cosmology

Recent results in loop quantum cosmology

Calculation of modified dispersion relations for quantum gravity

Abstract

After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes the basic formalism and recent results of loop quantum cosmology, and a computation of modified dispersion relations for quantum gravity phenomenology. The presentation is held at a level which does not require much background knowledge in general relativity or mathematical techniques such as functional analysis, so as to make the article accessible to graduate students and researchers from other fields.