Theoretical Study Of Bekenstein-Hawking Entropy And Generalized Uncertainty Principl

Black hole is the core research object of quantum gravity.Exploring the nature of black hole can help us understand the relationship between quantum mechanics and general relativity better.The generalized uncertainty principle is one of the main theoretical models for revising the thermodynamics of black hole,and therefore researching the generalized uncertainty principle is necessary for us to further explore the internal characteristics of black hole.In this paper,based on the BekensteinHawking entropy of black hole,we research the calculation method,the parameter expression and the correction form of the generalized uncertainty principle.First of all,we improve the calculation method of modifying the black hole entropy by the generalized uncertainty principle,so that the black hole evaporation modified by the generalized uncertainty principle can be consistent with the characteristics described in most literatures.After that,by comparing the logarithmic terms of the corrected entropies,we derive a parameter expression of the generalized uncertainty principle,so that it can be explained clearly why the negative parameter will appear when we try to restore the divergent Chandrasekhar limit corrected by the generalized uncertainty principle.Finally,through the equivalent relation between the corrected entropy and the generalized uncertainty principle,we indirectly modify the generalized uncertainty principle from an entropy corrected by the back reaction,so that the modified generalized uncertainty principle can reflect a fixed and unified minimum length regardless of whether its parameter is positive or negative.