论文标题
宇宙学奇点,纠缠和量子极端表面
Cosmological singularities, entanglement and quantum extremal surfaces
论文作者
论文摘要
我们研究了各个空间家庭的纠缠和极端表面的各个方面,展示了宇宙学,大脆性,奇异性,特别是各向同性$ ads $ kasner。经典的极端表面浸入散装径向和时间方向。明确分析半经典区域中远离奇异性的极端方程,我们发现表面沿象征性的方向弯曲。在通过尺寸降低这些和其他奇异性获得的2-DIM宇宙学中,我们通过极大化广义熵研究了量子极端表面。最终的极端化表明,始终驱动到远离奇异性的量子极端表面。我们对我们的分析发表了一些评论和猜测。
We study aspects of entanglement and extremal surfaces in various families of spacetimes exhibiting cosmological, Big-Crunch, singularities, in particular isotropic $AdS$ Kasner. The classical extremal surface dips into the bulk radial and time directions. Explicitly analysing the extremization equations in the semiclassical region far from the singularity, we find the surface bends in the direction away from the singularity. In the 2-dim cosmologies obtained by dimensional reduction of these and other singularities, we have studied quantum extremal surfaces by extremizing the generalized entropy. The resulting extremization shows the quantum extremal surfaces to always be driven to the semiclassical region far from the singularity. We give some comments and speculations on our analysis.