Genericness of inflation in isotropic loop quantum cosmology

TL;DR

This paper proves that loop quantum cosmology modifications universally induce exponential inflation in the early universe for a wide class of potentials, resolving the horizon problem without fine tuning.

Contribution

It demonstrates that LQC-induced inflation occurs generically for all positive potentials, independent of initial conditions and ambiguity parameters.

Findings

LQC modifications lead to exponential inflation at small scales.

Inflation occurs for all positive potentials without fine tuning.

The model naturally resolves the horizon problem.

Abstract

Non-perturbative corrections from loop quantum cosmology (LQC) to the scalar matter sector is already known to imply inflation. We prove that the LQC modified scalar field generates exponential inflation in the small scale factor regime, for all positive definite potentials, independent of initial conditions and independent of ambiguity parameters. For positive semi-definite potentials it is always possible to choose, without fine tuning, a value of one of the ambiguity parameters such that exponential inflation results, provided zeros of the potential are approached at most as a power law in the scale factor. In conjunction with generic occurrence of bounce at small volumes, particle horizon is absent thus eliminating the horizon problem of the standard Big Bang model.