Dispersive censor of acoustic spacetimes with a shock-wave singularity
arXiv:2209.02763 · doi:10.1103/PhysRevD.107.084023
Abstract
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 ther and the resulting effective trans-Planckian dispersion. Approaching the instant of shock , rapid spatial oscillations of density and velocity develop around the shock location, which begin to emerge already slightly before , 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.
arXiv comment11 pages, 7 figures
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