标题： 黑洞有多特殊？ 与一般理论中的饱和子的对应关系 显示英文标题

标题： How Special Are Black Holes? Correspondence with saturons in generic theories

摘要： 黑洞因其时间演化和信息处理而被认为是特殊的。 然而，最近有人提出，这些性质对于达到幺正性允许的最大熵的物体——所谓的饱和态（saturons）来说是通用的。 在本文中，我们在一种可重正化的$SU(N)$不变量理论内验证了这一联系。 我们表明该理论的谱包含一系列代表$SU(N)$金石束缚态的气泡。 尽管没有引力，饱和束缚态表现出与黑洞惊人的对应关系：其熵由贝肯斯坦-霍金公式给出；半经典情况下，气泡以热速率蒸发，温度等于其半径的倒数；信息检索时间等于佩奇的时间。 这种对应通过庞加莱金石的跨理论实体实现。 黑洞/饱和态对应关系对基础和观测黑洞物理学都有重要意义。 显示英文摘要

摘要： Black holes are considered to be exceptional due to their time evolution and information processing. However, it was proposed recently that these properties are generic for objects, the so-called saturons, that attain the maximal entropy permitted by unitarity. In the present paper, we verify this connection within a renormalizable $SU(N)$ invariant theory. We show that the spectrum of the theory contains a tower of bubbles representing bound states of $SU(N)$ Goldstones. Despite the absence of gravity, a saturated bound state exhibits a striking correspondence with a black hole: Its entropy is given by the Bekenstein-Hawking formula; semi-classically, the bubble evaporates at a thermal rate with a temperature equal to its inverse radius; the information retrieval time is equal to Page's time. The correspondence goes through a trans-theoretic entity of Poincar\'{e} Goldstone. The black hole/saturon correspondence has important implications for black hole physics, both fundamental and observational.