论文标题
$ sl(2,r)$ lattices作为信息处理器
$SL(2,R)$ lattices as information processors
论文作者
论文摘要
超越页面时间的黑洞应充当有效的炒扰和信息镜子。输入位的信息是由鹰量子中的旧黑洞迅速编码的,但是在页面时间熵中应该花费时间来解码内部。由近超级黑洞的碎片不稳定性的特征的动机,我们构建了黑洞的简单现象学模型,作为与近距离发电的重力发荷在晶格上传播的近$ ads_2 $ throats的晶格。我们研究微晶溶液及其对冲击的反应。冲击的能量几乎完全被$ ads_2 $喉咙的ADM质量完全吸收,但是在头发振荡中出现了它们位置和时间点的信息,这些信息从最终的微晶和完整系统迅速放松。我们讨论了Hayden-Preskill解码信息的协议。我们还构建了模型的概括,涉及通过虫洞及其类似物网络的$ ads_2 $ throats的晶格,以SYK SPIN-State的张量网络的形式进行。
Black holes past their Page times should act as efficient scramblers and information mirrors. The information of the infalling bits are rapidly encoded by the old black hole in the Hawking quanta, but it should take time that is exponential in the Page time entropy to decode the interior. Motivated by the features of fragmentation instability of near-extremal black holes, we construct a simple phenomenological model of the black hole as a lattice of interacting nearly $AdS_2$ throats with gravitational hair charges propagating over the lattice. We study the microstate solutions and their response to shocks. The energy of the shocks are almost wholly absorbed by the total ADM mass of the $AdS_2$ throats, but the information of their locations and time-ordering come out in the hair oscillations, which decouple from the final microstate to which the full system quickly relaxes. We discuss the Hayden-Preskill protocol of decoding infalling information. We also construct generalizations of our model involving a lattice of $AdS_2$ throats networked via wormholes and their analogues in the form of tensor networks of SYK spin-states.