# Generalized uncertainty principle and extra dimensions

## TL;DR

This paper reviews the extension of the generalized uncertainty principle (GUP) to higher-dimensional spacetimes, focusing on its implications for black hole physics and nonlocal gravity modifications at Planck scales.

## Contribution

It critically examines existing literature on applying GUP to higher dimensions and discusses potential impacts on black hole and quantum gravity models.

## Key findings

- GUP modifications can influence black hole properties in higher dimensions
- Nonlocal gravity models are relevant for Planck scale physics
- The literature on higher-dimensional GUP is diverse and evolving

## Abstract

The generalized uncertainty principle (GUP) is a modification of standard quantum mechanics due to Planck scale effects. The GUP has recently been used to improve the short distance behaviour of classical black hole spacetimes by invoking nonlocal modifications of the gravity action. We present the problem of extending such a GUP scenario to higher dimensional spacetimes and we critically review the existing literature on the topic.