论文标题
黑洞蒸发的概率分布
Probability distribution for black hole evaporation
论文作者
论文摘要
如果考虑到发射颗粒对黑洞时空的逆转或自我再生作用，则可以获得对黑洞颗粒的发射概率的非热校正。这些非热发射的颗粒保留了黑洞的熵，即在黑洞完全蒸发后，辐射颗粒系统的熵与黑洞的初始熵匹配。使用非热排放概率，我们确定了质量$ m $的黑洞的概率，使给定数量的粒子$ n $完全蒸发。这是通过首先评估通过排放$ n $粒子数量蒸发黑洞的可能数量的数量来完成的，然后可以蒸发黑洞的总数。这两个数量的比率为我们带来了期望的概率。从概率分布中，我们获得了耗尽黑洞的最可能数量的颗粒与初始黑洞的温度之间的位移关系。这种关系类似于Wien的黑体辐射定律。
Non-thermal correction to the emission probability of particles from black holes can be obtained if the backreaction or self-gravitational effects of the emitted particles on the black hole spacetime are taken into consideration. These non-thermally emitted particles conserve the entropy of the black hole, i.e, the entropy of the system of radiated particles after complete evaporation of the black hole matches the initial entropy of the black hole. Using the non-thermal emission probability, we have determined the probability for a black hole of mass $M$ to be completely evaporated by a given number of particles $n$. This is done by first evaluating the number of possible ways in which the black hole can be evaporated by emitting $n$ number of particles, and then the total number of ways in which the black hole can be evaporated. The ratio of these two quantities gives us the desired probability. From the probability distribution, we get a displacement relation between the most probable number of particles exhausting the black hole and the temperature of the initial black hole. This relation resembles Wien's displacement law for blackbody radiation.
