标题： 黑洞、空腔和闪烁的岛屿 显示英文标题

标题： Black Holes, Cavities and Blinking Islands

摘要： 将黑洞置于腔内为探索引力尺度、热力学不稳定性以及有效引力理论提供了一个自然的框架。 本文研究了腔内施瓦茨希尔德黑洞双侧延拓中的纠缠熵和纠缠岛演化。 通过在永恒黑洞外部引入反射边界，我们调节了霍金辐射的红外模态，发现纠缠熵最终会饱和在一个常数值上。 这个值可以低于黑洞的热力学熵，从而避免信息悖论的Page公式。 对于纠缠岛，我们识别出由边界诱导的一种普遍效应，我们称之为“闪烁岛”——即纠缠岛暂时消失，导致短时间的信息悖论。 显示英文摘要

摘要： Placing a black hole in a cavity provides a natural framework for exploring gravitational scales, thermodynamic instabilities, and effective gravity theories. In this paper, we examine the evolution of entanglement entropy and entanglement islands in a two-sided extension of the Schwarzschild black hole in a cavity. By introducing a reflecting boundary in the eternal black hole exteriors, we regulate the infrared modes of Hawking radiation, finding that the entanglement entropy eventually saturates at a constant value. This value can be lower than the black hole thermodynamic entropy, thus avoiding the Page formulation of the information paradox. Regarding entanglement islands, we identify a universal effect induced by the boundary, which we term the ``blinking island'' -- where the entanglement island temporarily disappears, resulting in a short-time information paradox.