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arXiv 2209.02763gr-qc
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具有冲击波奇点的声学时空的色散审查

Dispersive censor of acoustic spacetimes with a shock-wave singularity

Uwe R. Fischer, Satadal Datta

AI总结:

本文证明玻色-爱因斯坦凝聚体中的量子压力产生的跨普朗克色散会消除裸冲击波奇点的形成,从而在声学时空中实现一种不同于彭罗斯宇宙审查假说的奇点审查机制。

摘要:

无摩擦流体中的无色散冲击波会形成一个裸(不被视界隐藏)的声学时空奇点。我们证明,由于底层以太的微观结构以及由此产生的有效跨普朗克色散,这种裸的无色散冲击波奇点在玻色-爱因斯坦凝聚体中被禁止形成。在接近冲击时刻 $t_{\ m shock}$ 时,密度和速度的快速空间振荡在冲击位置周围发展,由于凝聚体中的量子压力,这些振荡在 $t_{\ m shock}$ 稍早之前就已开始出现。这些振荡使声学时空结构完全规则,从而导致时空奇点的消除(审查)。因此,与彭罗斯在爱因斯坦引力框架内提出的宇宙审查假说不同,玻色-爱因斯坦凝聚体中的量子压力审查(禁止)裸冲击波奇点的形成,而不是将其隐藏在视界之后。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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