Maximally localized states and quantum corrections of black hole thermodynamics in the framework of a new generalized uncertainty principle

TL;DR

This paper introduces a new generalized uncertainty principle (GUP) framework that modifies black hole thermodynamics, deriving maximally localized states and quantum corrections, highlighting the impact of UV/IR mixing on black hole evaporation.

Contribution

The paper proposes a novel GUP framework, derives maximally localized states, and calculates quantum corrections to black hole thermodynamics, emphasizing the role of UV/IR mixing effects.

Findings

Quantum corrections alter Hawking temperature, entropy, and heat capacity.

UV/IR mixing significantly prolongs black hole decay time.

Remnant mass of black hole at evaporation end is identified.

Abstract

As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states --- the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation.