论文标题
具有冲击波奇点的声学空间的分散审查员
Dispersive censor of acoustic spacetimes with a shock-wave singularity
论文作者
论文摘要
没有摩擦的流体中的无分散冲击波会形成赤裸裸的声学时空奇异性（不是地平线隐藏）。我们表明，由于基础$ {\ rm a} \！{\ rm e} $ ther和由此产生的有效的跨兰基分散剂的显微镜结构，这种裸露的非分散性冲击波奇异性被禁止在Bose-Einstein冷凝物中形成。接近冲击$ t _ {\ rm shock} $的瞬间，由于凝聚力中的量子压力，由于$ t _ {\ rm shock} $，震动位置周围的密度和速度的快速空间振荡就开始略微出现。这些振荡使声学时空结构完全规律，因此导致了时空奇异性的去除（检查）。因此，与爱因斯坦重力中配制的penrose的宇宙审查假设不同，Bose-Einstein Condensectes审查器中的量子压力（禁止）形成了裸性冲击波奇异性，而不是将其隐藏在水平面后面。
A dispersionless shock wave in a fluid without friction develops an acoustic spacetime singularity which is naked (not hidden by a horizon). We show that this naked nondispersive shock-wave singularity is prohibited to form in a Bose-Einstein condensate, due to the microscopic structure of the underlying ${\rm a}\!{\rm e}$ther and the resulting effective trans-Planckian dispersion. Approaching the instant of shock $t_{\rm shock}$, rapid spatial oscillations of density and velocity develop around the shock location, which begin to emerge already slightly before $t_{\rm shock}$, due to the quantum pressure in the condensate. These oscillations render the acoustic spacetime structure completely regular, and therefore lead to a removal (censoring) of the spacetime singularity. Thus, distinct from the cosmic censorship hypothesis of Penrose formulated within Einsteinian gravity, the quantum pressure in Bose-Einstein condensates censors (prohibits) the formation of a naked shock-wave singularity, instead of hiding it behind a horizon.
