Detailed background dynamics and trans-planckian effects in loop quantum cosmology

TL;DR

This paper explores how loop quantum cosmology predicts a bounce replacing the Big Bang singularity, examines the duration of inflation based on model parameters, and investigates trans-Planckian effects on primordial power spectra.

Contribution

It presents new results on inflation duration predictions and primordial spectra considering trans-Planckian effects within loop quantum cosmology.

Findings

Inflation duration depends on model parameters.

Primordial power spectra are modified by trans-Planckian effects.

Quantum geometry effects replace the Big Bang singularity.

Abstract

Cosmology appears as the most promising way to test and constrain quantum gravity theories. Loop quantum gravity is among the most advanced attempts to perform a non-perturbative quantization of general relativity. Its cosmological counterpart, loop quantum cosmology, has clear predictions both for the cosmological background and for the perturbations. In particular, the initial Big Bang singularity is replaced by a bounce due to quantum geometry effects. In this proceeding I will focus on new results obtained in loop quantum cosmology: i) the prediction of the duration of inflation as a function of all the unknown parameters of the model and ii) new primordial power spectra obtained with modified dispersion relations accounting for trans-planckian effects.