Minimum length, extra dimensions, modified gravity and black hole remnants

TL;DR

This paper develops a quantum gravity framework with extra dimensions, revealing that black holes may leave stable remnants at the quantum scale due to modified gravitational effects.

Contribution

It constructs a Hilbert space representation of minimum-length uncertainty in extra dimensions and analyzes black hole remnants in a brane-world model.

Findings

Gravitational force approaches zero as r→0

Black hole horizons vanish near quantum gravity scale

Existence of zero-temperature black hole remnants

Abstract

We construct a Hilbert space representation of minimum-length deformed uncertainty relation in presence of extra dimensions. Following this construction, we study corrections to the gravitational potential (back reaction on gravity) with the use of correspondingly modified propagator in presence of two (spatial) extra dimensions. Interestingly enough, for $r \rightarrow 0$ the gravitational force approaches zero and the horizon for modified Schwarzschild-Tangherlini space-time disappears when the mass approaches quantum-gravity energy scale. This result points out to the existence of zero-temperature black hole remnants in ADD brane-world model.