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This research investigates how quantum noise from the Unruh effect induces stochastic fluctuations in black hole horizon geometry, moving beyond mean Hawking flux to analyze field correlations. By reconstructing Schwarzschild geometry from these vacuum contributions, the study quantifies specific perturbations to local horizon radius and surface-gravity temperature parameters across thousands of realizations. The work offers a reproducible framework for understanding how quantum-state inputs interact with gravitational closure in finite-resolution descriptions of black hole dynamics.
Black Hole Horizon Fluctuations from Unruh Quantum Noise
arXiv:2610.06223v1 Announce Type: cross Abstract: 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.
Abstract: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.
General Relativity and Quantum Cosmology (gr-qc); Astrophysics of Galaxies (astro-ph.GA); Quantum Physics (quant-ph)
arXiv:2610.06223 [gr-qc]
(or arXiv:2610.06223v1 [gr-qc] for this version)
https://doi.org/10.48550/arXiv.2610.06223 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 262 words
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