标题： 白洞遗迹的寿命是$M^5$ 显示英文标题

标题： The lifetime of white hole remnants is $M^5$

摘要： 黑洞转变为白洞的情景是非微扰量子引力领域中关于黑洞蒸发最终阶段的一个有充分动机的提议。 在此框架下，初始质量为$M$的黑洞将在大约$M^3$时间尺度上通过霍金蒸发后隧穿形成一个长寿的白洞。 先前的估算表明，由此产生的白洞的寿命按比例为$M^4$。 在这篇简短的笔记中，我指出这些估算忽略了白洞内部动力学的关键方面，并且我证明了一个更一致的白洞寿命时间尺度应为$M^5$左右。 显示英文摘要

摘要： The black-to-white hole scenario is a well-motivated proposal from non-perturbative quantum gravity concerning the final stage of black hole evaporation. In this framework, a black hole of initial mass $M$ undergoes Hawking evaporation over a timescale of order $M^3$ before tunneling into a long-lived white hole. Previous estimates suggest that the lifetime of the resulting white hole scales as $M^4$. In this short note, I argue that such estimates neglect key aspects of the white hole's internal dynamics, and I demonstrate that a more consistent timescale for the white hole lifetime is of order $M^5$.