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Scale-dependent Hayward black hole and the generalized uncertainty principle

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.