标题： 质量膨胀与协变量子黑洞的强宇宙监督猜想 显示英文标题

标题： Mass inflation and strong cosmic censorship conjecture in the covariant quantum black hole

摘要： 近期，人们提出了处理经典量子引力中长久以来广义协变性问题的两种解法。由此产生了一个根本的问题：哪种解法更优越？考虑到一种具有柯西视界的解法，在此通讯文章中，我们探讨它是否表现出类似于雷斯勒-诺德斯特姆黑洞的性质。由于几何上的相似性，应用广义的德雷-胡夫特-雷德蒙关系揭示了质量膨胀的证据，表明柯西视界是不稳定的。虽然这与强宇宙审查猜想一致，但它暗示这种解法并不能代表一个规则的黑洞。此外，我们将度规扩展以包含宇宙常数，并研究强宇宙审查猜想在de Sitter时空中的量子黑洞的有效性。考虑到量子黑洞参数的合理范围后，我们发现强宇宙审查猜想成立。 显示英文摘要

摘要： Recently, two types of solutions to the long-standing issue of general covariance in canonical quantum gravity have been proposed. From the above, a fundamental question arises: which solution is superior? Considering one type of solution with a Cauchy horizon, in the present letter, we explore whether it exhibits properties similar to those of the Reissner-Nordstr\"{o}m black hole. Due to its geometric similarity, application of the generalized Dray-'t Hooft-Redmond relation reveals evidence of mass inflation, indicating that the Cauchy horizon is unstable. While this is consistent with the Strong Cosmic Censorship conjecture, it suggests that it does not represent a regular black hole. Furthermore, we extend the metric to include a cosmological constant and study the validity of the Strong Cosmic Censorship conjecture for the quantum black hole in de Sitter spacetime. After taking into account the reasonable ranges of parameters for the quantum black hole, we find that the Strong Cosmic Censorship Conjecture holds.