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
该研究构建有效准静态球对称模型，探究有效黑洞几何重根附近色噪声诱导的视界涨落，明确区分储库强度与近临界放大，为随机半经典研究提供测试平台。
AI 中文摘要
应力张量涨落携带平均半经典爱因斯坦方程中缺失的信息，但其可观测效应既取决于几何的响应，也取决于噪声本身。我们构建了一个由量子朗之万方程的响应-噪声结构组织的有效准静态球对称模型，其中规定的平均度规和局域于视界的色源可独立变化。对每个源实现，我们重构时移函数、定位其外俘获视界，并从该根处的斜率计算绝热Hayward-Kodama温度。当平均时移趋近于内-外根合并时，其逆斜率起到几何 susceptibility（ susceptibility 译为“响应度”）的作用：固定源协方差会产生增强的视界涨落、视界-温度协方差，以及正偏态的灰体滤波光度。本研究的具体进展在于建立了从色度规噪声到关联几何、热及辐射统计的单实现映射，同时明确区分了储库强度与近临界放大。该模型是一个随机半经典测试平台，而非对Unruh态响应和噪声核的微观评估。
英文摘要
Stress-tensor fluctuations carry information that is absent from the mean semiclassical Einstein equation, but their observable effect depends as much on the response of the geometry as on the noise itself. We formulate an effective, quasistationary spherical model organized by the response--noise structure of a quantum Langevin equation. A prescribed mean dressing and a horizon-localized colored source are varied independently. For every source realization we reconstruct the lapse, locate its outer trapping horizon, and evaluate the adiabatic Hayward--Kodama temperature from the slope at that same root. As the mean lapse approaches an inner--outer root merger, its inverse slope acts as a geometric susceptibility: a fixed source covariance produces enhanced horizon fluctuations, horizon--temperature covariance, and a positively skewed, greybody-filtered luminosity. The specific advance is a single-realization map from colored metric noise to correlated geometric, thermal, and radiative statistics, together with an explicit separation of reservoir strength from near-critical amplification. The model is a stochastic-semiclassical testbed, not a microscopic evaluation of Unruh-state response and noise kernels.
Comments5 pages, 3 figures
