Extended Generalized Uncertainty Principle and the Correction Value to the Black Hole Entropy

Abstract

Abstract Recently, great attention has been paid to the quantum correction value of black hole's Bekenstein-Hawking entropy, especially the coefficient of the logarithmic correction term of the black hole entropy. On the basis of the GUP (generalized uncertainty principle), we introduced into the EGUP (extended generalized uncertainty principle), and calculated the correction value of black hole entropy for the three types of spacetime by using the area theorem. The results show that the coefficients of correction terms of black hole entropy are positive. This calculation method is suitable for not only the single horizon spacetime, but also the inner horizon spacetime of black hole, and the black hole entropy correction value has been calculated based on the EGUP. Compared with the GUP, the EGUP can be applied to a large scale spacetime, hence its applicability range is wider. The calculation method is concise, and the physical meaning is clear. It provides a reference for the determination of the coefficient of the logarithmic correction term of the black hole entropy.