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Motivated by recent work suggesting observably large spacetime fluctuations in the causal development of an empty region of flat space, we conjecture that these metric fluctuations can be quantitatively described in terms of a conformal…

High Energy Physics - Theory · Physics 2022-01-12 Thomas Banks , Kathryn M. Zurek

We study the gravitational phase space associated to a stretched horizon within a finite-sized causal diamond in $(d+2)$-dimensional spacetimes. By imposing the Raychaudhuri equation, we obtain its constrained symplectic form using the…

High Energy Physics - Theory · Physics 2025-08-29 Luca Ciambelli , Temple He , Kathryn M. Zurek

Verlinde and Zurek (VZ) have proposed that quantum gravity fluctuations in causal diamonds lead to observable effects. In particular, they argued that in quantum gravity causal diamonds have an uncertainty in their size that scales as…

High Energy Physics - Theory · Physics 2025-07-21 Lars Aalsma , Sang-Eon Bak

We study the propagation of null rays and massless fields in a black hole fluctuating geometry. The metric fluctuations are induced by a small oscillating incoming flux of energy. The flux also induces black hole mass oscillations around…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barrabes , V. Frolov , R. Parentani

We compute the metric fluctuations induced by a turbulent energy-matter tensor within the first order Post-Minkowskian approximation. It is found that the turbulent energy cascade can in principle interfere with the process of black hole…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Donato Bini , Stuart Kauffman , Sauro Succi , Pablo G. Tello

We propose a simple model of spacetime vacuum fluctuations motivated by AdS/CFT, where the vacuum is described by a thermal density matrix, $\rho = \frac{e^{-K}}{\mbox{Tr}(e^{-K})}$ with $K$ the modular Hamiltonian. In AdS/CFT, both the…

High Energy Physics - Theory · Physics 2022-01-26 Kathryn M. Zurek

We investigated the impact of metric fluctuations on the higher-dimensional black hole geometry. We generalized the four-dimensional model to higher dimensions to treat quantum vacuum fluctuations by the classical approach. A fluctuating…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Hyewon Han , Bogeun Gwak

The emergence of Hawking radiation from vacuum fluctuations is analyzed in conventional field theories and their energy content is defined through the Aharonov weak value concept. These fluctuations travel in flat space-time and carry…

General Relativity and Quantum Cosmology · Physics 2010-04-06 F. Englert , S. Massar , R. Parentani

Classically, black Holes have the rigid event horizon. However, quantum mechanically, the event horizon of black holes becomes fuzzy due to quantum fluctuations. We study Hawking radiation of a real scalar field from a fluctuating black…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Tomohiro Takahashi , Jiro Soda

We treat two aspects of the physics of stationary black holes. First we prove that the proportionality, d(energy) ~ d(area) for arbitrary perturbations (``extended first law''), follows directly from an extremality theorem drawn from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rafael D. Sorkin

In this paper, we consider angular momentum fluctuations of a Schwartzschild black hole in thermal equilibrium with radiation which, for the sake of simplicity is here modeled by a scalar field. Important, we do not set the black hole…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Marcelo Schiffer

Rapid fluctuation with a frequency dependence of $1/f^{\alpha}$ (with $\alpha \simeq 1 - 2$) is characteristic of radiation from black-hole objects. Its origin remains poorly understood. We examine the three-dimensional…

Astrophysics · Physics 2015-06-24 T. Kawaguchi , S. Mineshige , M. Machida , R. Matsumoto , K. Shibata

The quantum fluctuations of horizons in Robertson-Walker universes and in the Schwarzschild spacetime are discussed. The source of the metric fluctuations is taken to be quantum linear perturbations of the gravitational field. Lightcone…

General Relativity and Quantum Cosmology · Physics 2016-08-24 L. H. Ford , N. F. Svaiter

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole. We explain how the stochastic gravity formalism can be a useful tool for that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu , Albert Roura

Scale-invariant fluctuations and cold dark matter could originate from two different modes of a single scalar field, fluctuations from massless Goldstone oscillations and matter from massive Higgs modes. Matching the fluctuations and dark…

Astrophysics · Physics 2009-10-22 Craig J. Hogan

We compute a gravitational on-shell action of a finite, spherically symmetric causal diamond in $(d+2)$-dimensional Minkowski spacetime, finding it is proportional to the area of the bifurcate horizon $A_{\mathcal{B}}$. We then identify the…

High Energy Physics - Theory · Physics 2025-12-22 Kwinten Fransen , Temple He , Kathryn M. Zurek

Quantum fluctuations of a certain class of bulk operators defined in spatial sub-volumes of Minkowski space-time, have an unexpected area scaling property. We wish to present evidence that such area scaling may be ascribed to a boundary…

High Energy Physics - Theory · Physics 2009-11-10 Ram Brustein , David H. Oaknin , Amos Yarom

By using the minisuperspace model for the interior metric ofstatic black holes, we solve the Wheeler-DeWitt equation to study quantum mechanics of the horizon geometry. Our basic idea is to introduce the gravitational mass and the…

General Relativity and Quantum Cosmology · Physics 2017-02-01 K. Nakamura , S. Konno , Y. Shiro , A. Tomimatsu

We study how fluctuations of the black hole geometry affect the properties of Hawking radiation. Even though we treat the fluctuations classically, we believe that the results so obtained indicate what might be the effects induced by…

General Relativity and Quantum Cosmology · Physics 2009-10-31 C. Barrabès , V. Frolov , R. Parentani

The vacuum fluctuations that induce the transitions and the thermalisation of a uniformly accelerated two level atom are studied in detail. Their energy content is revealed through the weak measurement formalism of Aharonov et al. It is…

General Relativity and Quantum Cosmology · Physics 2009-09-25 S. Massar , R. Parentani
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