标题： 为什么不会无限产生黑洞？ 显示英文标题

标题： Why Aren't Black Holes Infinitely Produced?

摘要： 局域性和幺正性暗示信息问题有一个残留解，同时也暗示Reissner-Nordstrom黑洞有无限多的内部态。 对这类黑洞的粒子对产生进行了重新检查，包括这些态的贡献。 认为该速率与黑洞内部态上的迹Tr e^{-beta H}这一热力学量成正比；这与针对黑洞的有效场论估计一致。 这个量以及速率显然由于态的无限数量而为无限大。 一个明显的出路是黑洞的内部态数目是有限的。 显示英文摘要

摘要： Unitarity and locality imply a remnant solution to the information problem, and also imply that Reissner-Nordstrom black holes have infinite numbers of internal states. Pair production of such black holes is reexamined including the contribution of these states. It is argued that the rate is proportional to the thermodynamic quantity Tr e^{-beta H}, where the trace is over the internal states of a black hole; this is in agreement with estimates from an effective field theory for black holes. This quantity, and the rate, is apparently infinite due to the infinite number of states. One obvious out is if the number of internal states of a black hole is finite.