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

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.

27 pages, 10 figures, 4 tables; v2: 30 pages, sections 3-6 substantially revised but conclusions unchanged; v3: 27 pages, clarifications added; v4: 29 pages, clarifications and references added, final version to appear in Advances in High Energy Physics

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Cited by in corpus (7)

• Hawking Radiation Under Generalized Uncertainty Principle
• Barrow black holes and the minimal length
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• Remark on Remnant and Residue Entropy with GUP
• Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP
• UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
• One-dimension quantum systems in the framework of the most general deformation GUP form