通道分辨的高阶准正则模解码黑洞内部的Kasner标度
Channel-Resolved High-Overtone Quasinormal Modes Decode Kasner Scaling inside Black Holes
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中文总结 AI 辅助
本文通过高阶准正则模谱的不同结构独立重建黑洞内部Kasner指数，无需全息或约束，并在多种黑洞中验证，为视界后几何提供谱探针。
中文摘要 AI 辅助
高阶准正则模谱编码了黑洞内部接近奇点的Kasner标度。我们表明，该谱中的不同结构独立地决定时间与空间Kasner指数，从而无需施加Kasner约束或借助全息原理即可重建相应的度规指数。我们在五维渐近平坦Schwarzschild和平面Schwarzschild--AdS$_5$的固定Kasner点上演示了这种独立重建，并将其推广到连续变化的Gibbons--Maeda黑洞族。重建后的指数事后满足Kasner关系，提供了非平凡的几何一致性检验。更一般地，高阶准正则模谱可分解为全局谱数据和局部代数修正，后者的分数幂由接近奇点的Kasner几何决定。因此，这些分数修正为视界后的局部几何提供了直接的谱探针。
英文摘要
The high-overtone quasinormal-mode spectrum encodes the near-singularity Kasner scaling of black-hole interiors. We show that distinct structures in this spectrum independently determine the temporal and spatial Kasner grades, allowing the corresponding metric exponents to be reconstructed without imposing Kasner constraints or invoking holography. We demonstrate this independent reconstruction at the fixed Kasner point of five-dimensional asymptotically flat Schwarzschild and planar Schwarzschild--AdS$_5$, and then extend it to a continuously varying Gibbons--Maeda black-hole family. The reconstructed exponents satisfy the Kasner relation a posteriori, providing a nontrivial geometric consistency check. More generally, the high-overtone spectrum separates into global spectral data and local algebraic corrections whose fractional powers are fixed by the near-singularity Kasner geometry. These fractional corrections therefore provide a direct spectral probe of the local geometry behind the horizon.
发表机构
- International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), University of Chinese Academy of Sciences（国际理论物理中心亚太分部，中国科学院大学）
- Institute of Theoretical Physics, Chinese Academy of Sciences（中国科学院理论物理研究所）
- Hangzhou Institute for Advanced Study, UCAS（中国科学院大学杭州高等研究院）
- School of Physical Sciences, University of Chinese Academy of Sciences（中国科学院大学物理科学学院）
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