论文标题
虫洞演算,复制品和熵
Wormhole calculus, replicas, and entropies
论文作者
论文摘要
我们研究了时空虫洞的贡献,描述了婴儿宇宙的发射和吸收,对熵和相关功能的计算,例如基于复制方法的贡献。我们发现,1980年代制定的“虫孔演算”的规则以及用于计算熵和相关器的标准量子机械处方,暗示着在简单计算中复制因素之间连接模式的确定规则。这些结果与假设所有连接副本的拓扑的假设相反,并质疑后者的解释。在“自由”近似值中,婴儿宇宙引入了耦合常数的概率分布,我们审查和扩展了参数,即“父”宇宙中连续实验越来越精确地修复了此类耦合,从而导致最终纯粹的进化。一旦发生了这种情况,就存在非平凡的问题,即改变拓扑的效果如何改变黑洞信息丢失的标准描述。
We investigate contributions of spacetime wormholes, describing baby universe emission and absorption, to calculations of entropies and correlation functions, for example those based on the replica method. We find that the rules of the "wormhole calculus," developed in the 1980s, together with standard quantum mechanical prescriptions for computing entropies and correlators, imply definite rules for $\textit{limited}$ patterns of connection between replica factors in simple calculations. These results stand in contrast with assumptions that all topologies connecting replicas should be summed over, and call into question the explanation for the latter. In a "free" approximation baby universes introduce probability distributions for coupling constants, and we review and extend arguments that successive experiments in a "parent" universe increasingly precisely fix such couplings, resulting in ultimately pure evolution. Once this has happened, the nontrivial question remains of how topology-changing effects can modify the standard description of black hole information loss.