AI 中文总结
该研究揭示黑洞准正规模式源于光子环上的热激发，通过微观世界面涨落与宏观因果响应函数极点结构两种视角推导了其谱。
AI 中文摘要
当黑洞在并合后产生振铃时，会以称为准正规模式（QNM）的特征频率发射引力波。在几何光学极限下，这些模式由形成光子环的不稳定圆光轨道控制。在本研究中，我们证明黑洞的振铃具有精确的热解释：在近环几何中传播的探测弦会在其世界面上获得诱导的伦德勒视界，其温度由光子环的李雅普诺夫指数设定。基于该结构，黑洞准正规模式作为热激发出现，因此黑洞的特征振铃是存在于光子环上的热系统的推迟响应。我们从两个互补视角明确推导了QNM谱：微观上通过不稳定的横向世界面涨落，宏观上通过开放热量子系统的因果响应函数的极点结构。
英文摘要
When a black hole rings after a merger, it emits gravitational waves at characteristic frequencies known as quasinormal modes (QNMs). In the eikonal limit, these modes are governed by the unstable circular light orbits that form the photon ring. In this work, we demonstrate that the ringing of a black hole has a precise thermal interpretation. A probe string propagating in the near-ring geometry acquires an induced Rindler horizon on its worldsheet, with a temperature set by the Lyapunov exponent of the photon ring. Out of this structure, the black hole QNMs emerge as thermal excitations, so that the characteristic ringing of a black hole is the retarded response of a thermal system living on the photon ring. We explicitly derive the QNM spectrum from two complementary perspectives: microscopically, via unstable transverse worldsheet fluctuations, and macroscopically, through the pole structure of the causal response function of an open thermal quantum system.
Comments27+1 pages
