Colored-Noise-Induced Horizon Fluctuations Near a Double Root in an Effective Black-Hole Geometry
Abstract
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.
Related
- Stochastic Thermodynamics of Dynamical Thin-Shell Wormholes: Effective Temperatures, Fluctuations and Conditional Quasi-Horizon Unification
- Geometry-Induced Effective Tight-Binding Hamiltonians for Phononic Systems: Mode Conversion and SSH-Like Physics
- Horizon energy fluctuations beyond Einstein's gravity: Gauss-Bonnet, Lovelock and Quantum deformed frameworks
- Black Hole Horizon Fluctuations from Unruh Quantum Noise
- Nonequilibrium Apparent-Horizon Thermodynamics in Effective Loop Quantum Cosmology
BibTeX
@misc{yasir2026colorednoiseinduced,
title = {{Colored-Noise-Induced Horizon Fluctuations Near a Double Root in an Effective Black-Hole Geometry}},
author = {Kashif Ammar Yasir},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01063},
eprint = {2609.01063},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01063},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Colored-Noise-Induced Horizon Fluctuations Near a Double Root in an Effective Black-Hole Geometry
AU - Kashif Ammar Yasir
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01063
UR - https://arxiv.org/abs/2609.01063
AB - 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.
ER -