Scale--dependent Hayward black hole and the generalized uncertainty principle

TL;DR

This paper introduces a method to constrain the deformation parameter of the generalized uncertainty principle using a scale-dependent Hayward black hole model, linking quantum gravity effects with modified black hole solutions.

Contribution

It provides a novel approach to relate the GUP deformation parameter to scale-dependent gravity through the Hayward black hole metric.

Findings

Bounds on the GUP deformation parameter are derived.

The deformation parameter is interpreted as a running parameter in scale-dependent gravity.

The approach connects quantum gravity phenomenology with modified black hole solutions.

Abstract

In this work we present a technique to obtain bounds on the generalized uncertainty principle deformation parameter by using an improved Schwarzschild solution represented by the Hayward metric in the context of scale--dependent gravity. Specifically, this deformation parameter can be interpreted in terms of a running parameter which controls the deviation from the standard Einstein--Hilbert action in the scale--dependent scenario.