发表机构
College of Physics, Sichuan University（四川大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
受宇宙学对撞机物理启发，提出准正则模对撞光谱学框架，通过分解非线性振铃的中间极点留数并重建其辐射，揭示黑洞非线性模间的相互作用结构。
AI 中文摘要
黑洞准正则模编码了并合残余体的性质，并为强场引力提供了强有力的检验。黑洞光谱学主要将这些模视为独立的线性振荡。非线性振铃还能进一步揭示这些模如何相互作用，以及哪些中间态介导了它们的相互作用。受宇宙学对撞机物理的启发，我们引入了准正则模对撞光谱学（QCS），这是一个用于组织和预测非线性黑洞响应的框架。我们建立了两个结构性结果。首先，在孤立的、非简并的中间极点处，三次应变留数可分解为激发振幅和二次转换系数。这种分解对输出通道和第二阶初始数据的选择施加了秩约束，为中间模描述提供了一致性检验。其次，中间极点留数可以从其视界和无穷远辐射中重建。在第一阶场和第三阶数据保持固定的情况下，这种重建可扩展到由改变第二阶初始数据所产生的完整三次波形差异。因此，QCS将低阶辐射与高阶可观测量联系起来，并为探测非线性振铃的相互作用结构提供了一个框架。
英文摘要
Black-hole (BH) quasinormal modes encode the properties of merger remnants and provide powerful tests of strong-field gravity. The BH spectroscopy has predominantly treated them as independent linear oscillations. Nonlinear ringdown can additionally reveal how these modes interact and which intermediate states mediate their interactions. Inspired by cosmological collider physics, we introduce quasinormal-mode collider spectroscopy (QCS), a framework for organizing and predicting nonlinear BH responses. We establish two structural results. First, at an isolated, nondegenerate intermediate pole, a cubic strain residue factorizes into an excitation amplitude and a quadratic conversion coefficient. This factorization imposes rank constraints across output channels and choices of second-order initial data, providing consistency tests of the intermediate-mode description. Second, the intermediate pole residue can be reconstructed from its horizon and infinity radiation. With the first-order field and third-order data held fixed, this reconstruction extends to the full cubic waveform difference generated by changing the second-order initial data. QCS thus connects lower-order radiation to higher-order observables and provides a framework for probing the interaction structure of nonlinear ringdown.
Comments16 pages, 5 figures; appendices included
