摘要
在黑洞蒸发的最后阶段其残余质量为Planck质量的量级,因而所对应的黑洞熵为2πk_B量级,在Bekenstein工作的基础上作者导出在吸积物质的过程中黑洞的最小熵增为2πk_B,这一最小熵增又限制能参与吸积物质的黑洞的质量下限为Planck质量的量级,因而所对应的最小黑洞熵也为2πk_B这一量级。作者进一步指出:黑洞的最小熵及最小熵增不受引力常数G变化的影响,因此上述结论在极早期宇宙中也能成立,在上述分析的基础上作者提出一个猜想:黑洞熵可以量子化,其量子单位为2πk_B。
The remnant mass of black holes is in the order of the Planck mass in the last stages of evaporation, therefore the corresponding black-hole entropy increase of black holes is in the Order of 2πkB. It is derived that the minimum entropy increase of black holes is 2πkB in the process of absorbing exterior matter on the basis of Bekenstein's work. This minimum entropy increase gives constraint on the lower bound of black-hole mass, which is in the order of the Planck mass, therefore the corresponding minimum black-hole entropy is also in the order of 2πkB. In addition, it is proved that the minimum entropy and the minimum entropy increase of black holes are not affected by the variation of gravitation constant, so the above consequences are also correct in the case of the very early universe. A conjecture is proposed based on the above analysis: black-hole entropy can be quantized and its quantum unit is
关键词
黑洞
黑洞熵
Black holes-Black-hole entropy
