发表机构
Zhejiang Normal University; Zhejiang Institute of Photoelectronics（浙江师范大学; 浙江光电子研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过Unruh量子噪声重构Schwarzschild几何，发现霍金场关联导致视界半径和表面引力温度参数以不同相对宽度涨落，并提供了可重现的有限分辨率描述。
AI 中文摘要
平均霍金通量并不能决定量子应力涨落如何扰动黑洞几何。该信息存在于场关联中，包括来自出射光度所缺失的真空贡献。这里我们将完整的外部Unruh Wightman函数与Schwarzschild几何的有限带宽随机重构联系起来。我们保留入射真空和两个出射频率分支，在角投影前形成连接的应力协方差，并通过密度驱动的径向响应传播其单极子。一个共享的高斯重构随后解析了lapse函数的值和导数如何控制不同的几何观测量。对于指定的协方差和噪声振幅，2200次实现给出了局部视界半径的相对宽度为0.0185，表面引力温度参数的相对宽度为0.0483，在直方图和重构检查中保持一致。协方差导数解释了这种不均匀的敏感性。该构造将量子态输入与引力闭合和空间采样假设分离，提供了霍金场关联如何影响视界位置和表面引力统计的可重现的有限分辨率描述。
英文摘要
The mean Hawking flux does not determine how quantum stress fluctuations perturb a black-hole geometry. That information resides in field correlations, including vacuum contributions absent from the outgoing luminosity. Here we connect the complete exterior Unruh Wightman function to a finite-band stochastic reconstruction of Schwarzschild geometry. We retain the incoming vacuum and both outgoing frequency branches, form the connected stress covariance before angular projection, and propagate its monopole through a density-driven radial response. A shared Gaussian reconstruction then resolves how the value and derivative of the lapse control different geometric observables. For the specified covariance and noise amplitude, 2,200 realizations give relative widths of 0.0185 for the local horizon radius and 0.0483 for the surface-gravity temperature parameter, consistently across histograms and reconstruction checks. Covariance derivatives explain this unequal sensitivity. The construction separates the quantum-state input from the gravitational closure and spatial sampling assumptions, providing a reproducible finite-resolution description of how Hawking-field correlations affect horizon positions and surface-gravity statistics.
Comments13 pages, 4 figures
