黑洞熵的面积律到底特殊在哪里

WHAT’S THE SPECIAL OF BLACK HOLE AREA LAW ENTROPY

一般无引力系统熵的体积律是一个被广泛相信并常被用来论证黑洞熵面积律特殊性的重要说法,然而这个说法和论证都是错误的。事实是,一般热力学系统的熵跟其所占据的空间体积关系非常弱,可以说几乎无关,但是跟我们建立统计描述于其行为之上的基本/微观粒子的数量成正比。黑洞熵的面积律只是这一基本事实的一个正常案例,其特殊性在于,黑洞熵并不起源于构成黑洞的那些普通物质粒子的随机运动,而是起源于那些粒子在引力驱动下集体运动模式的随机性,是这些集体运动模式的质量正比于黑洞质量倒数因而数量正比于质量平方的事实导致了面积律。如果黑洞熵起源于构成黑洞的那些标准模型粒子的随机运动,粒子数正比律将导致熵的直径律而不是体积律或其他类型体积依赖性。

The volume law of entropy of general non-gravitational system is a commonly believed and frequently cited saying when emphasizing speciality of black hole entropy’s area law feature.However,we show in this work that dependence of the entropy of general multi-particle systems is very weak,at most logarithmic.Instead,the system’s entropy is proportional to the number of particles whose random motion forms just the fundamental degrees in our statistic mechanic description.The area law formula of black hole entropy is just one normal example of this particle number linearity instead of volume law.Its speciality hinges on the fact that,in black holes,the objects carrying fundamental degrees of freedom are not the standard model particles constituting black hole matter contents,but collective motion modes of them.It is because these collective motion modes’mass being proportional to the inverse of the black hole mass hence number proportional to the mass square that causes the area law.If the carrier of basic degrees of freedom is the standard model particles directly,we will get diameter-law instead of volume law.