论文标题
宽度悖论和黑洞的内部结构
The Width Paradox and the Internal Structure of a Black-Hole
论文作者
论文摘要
在黑洞热力学的早期，Bekenstein计算了宏观黑洞的质量分散，这是由于它发出的热辐射的随机性而导致的 - 事实证明，它对于巨大的黑孔而言是负面的，而不是$ M \ stackrel {>} {>} {>} {\ sim} {\ sim} {\ sim} {\ sim} 10^{30} {30} g $。他将其命名为{\ it“质量宽度悖论”}。在这里，我们以一种更经济的假设并得出相似的结论，以一种公理的方法来重新审视他的早期计算。我们认为，质量悖论是由于将黑洞视为经典系统而没有内部量子结构而导致的。事实上，当我们考虑到面积水平的离散性，并在连续量子状态\ cite {bekenstein}之间假设概率过渡时，悖论就会消失。在此过程中，我们获得了在给定平均区域中某些区域本征态中找到黑洞的概率。作为副产品，量子场景还指向黑洞信息难题的可能解决方案。
In the early days of Black Hole Thermodynamics, Bekenstein calculated the mass dispersion of a macroscopic black hole that results from the stochasticity of the thermal radiation it emits -- it turned out to be negative for black holes massive than $M \stackrel{>}{\sim} 10^{30}g$. He named it the {\it "mass width paradox"}. Here we revisit his early calculation, in an axiomatic approach with a set of more economical assumptions and reach similar conclusions. We argue that the mass paradox results from considering a black hole as a classical system, without an inner quantum structure. As a matter of fact, when we take into account the discreteness of the area levels and assume identical probability transition between contiguous quantum states \cite{bekenstein}, the paradox disappears. In the process we obtain the probability of finding a black-hole in some area eigenstate for a given averaged area. As a by-product, the quantum scenario also points towards a possible solution of the black hole information conundrum.
