A first step towards the inflationary trans-planckian problem treatment in Loop Quantum Cosmology

TL;DR

This paper investigates how trans-Planckian effects, modeled via modified dispersion relations, influence the primordial power spectra in Loop Quantum Cosmology, potentially altering their observational compatibility.

Contribution

It introduces a method to incorporate trans-Planckian effects into LQC calculations of primordial spectra, addressing a key issue in early universe modeling.

Findings

Trans-Planckian effects can significantly alter the primordial spectrum.

Modified dispersion relations can make spectra compatible or incompatible with observations.

The approach provides a first step towards resolving the trans-Planckian problem in LQC.

Abstract

For most initial conditions, cosmologically relevant physical modes were trans-planckian at the bounce time, often by many magnitude orders. We improve the usual loop quantum cosmology calculation of the primordial power spectra -- in the inflationary framework -- by accounting for those trans-planckian effects through modified dispersion relations. This can induce drastic changes in the spectrum, making it either compatible or incompatible with observational data, depending on the details of the choices operated.