Constraints on the Generalized Uncertainty Principle from black-hole thermodynamics

@article{Gangopadhyay2015ConstraintsOT,
  title={Constraints on the Generalized Uncertainty Principle from black-hole thermodynamics},
  author={Sunandan Gangopadhyay and Abhijit Dutta and Mir Faizal},
  journal={Europhysics Letters},
  year={2015},
  volume={112}
}
In this paper, we calculate the modification to the thermodynamics of a Schwarzschild black hole in higher dimensions due to the Generalized Uncertainty Principle (GUP). We use the fact that the leading-order corrections to the entropy of a black hole has to be logarithmic in nature to restrict the form of the GUP. We observe that in six dimensions, the usual GUP produces the correct form for the leading-order corrections to the entropy of a black hole. However, in five and seven dimensions a… 

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