# Holographic bounce

## TL;DR

This paper explores how holographic principles can naturally lead to nonsingular bouncing cosmologies, with UV corrections controlling the bounce and connections to modified gravity models like F(R).

## Contribution

It introduces a holographic bounce model using IR cutoffs, UV corrections, and extended cutoffs that can replicate F(R) gravity scenarios.

## Key findings

- Horizon decrease increases holographic energy density at bounce scales.
- UV corrections enable nonsingular bounce solutions with controlled minimum scale factor.
- Extended IR cutoffs can reproduce F(R) gravity bounce scenarios.

## Abstract

We investigate the bounce realization arising from the application of the holographic principle in the early universe, inspired by its well-studied late-time application. We first consider as Infrared cutoffs the particle and future event horizons, and we show that the decrease of the horizons at early times naturally increases holographic energy density at bouncing scales, while we additionally obtain the necessary null energy condition violation. Furthermore, adding a simple correction to the horizons due to the Ultraviolet cutoff we analytically obtain improved nonsingular bouncing solutions, in which the value of the minimum scale factor is controlled by the UV correction. Finally, we construct generalized scenarios, arisen from the use of extended Infrared cutoffs, and as specific examples we consider cutoffs that can reproduce $F(R)$ gravity, and the bounce realization within it.