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中文摘要：
目前，人们对黑洞Bekenstein—Hawking熵的量子修正值产生了极大的兴趣，尤其是黑洞熵对数修正项的系数．在广义不确定关系（GUP）的基础上，通过引入了推广的广义不确定关系（EGUP），运用面积定理计算了3类时空的黑洞熵的修正值，得到的黑洞熵的修正项的系数是正的．这种计算方法不仅对单视界时空适用，而且对有内视界的黑洞时空依然成立，并且在EGUP基础上计算出黑洞熵的修正值．相比CUP基础上得到的黑洞熵，EGUP可以应用于大尺度时空下，所以应用范围更广．此计算方法简洁明了，物理意义明确，可为黑洞熵对数修正值系数的确定提供参考．
英文摘要：
Recently, great attention has been paid to the quantum correction value of black hole＇s Bekenstein-Hawking entropy, especially for the coefficient of the logarithmic correction term of the black hole entropy. On the basis of the GUP （Generalized Uncertainty Principle）, we introduced the EGUP （Extended Generalized Uncertainty Principle）, and calculated the correction value of three types of space-time by using the area theorem. The results showed that the coefficient of black hole entropy correction is positive. The calculation method is not only applied to the single horizon space-time, but also suitable for the double horizon space-time. The black hole entropy correction value was calculated based on the EGUP. Compared with the GUP, the EGUP can be applied in a large scale space-time, thus, its application scope 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 to the black hole entropy.
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