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Related papers: Virtual Black Holes in Hyperbolic Metamaterials

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Cloaking devices are prescriptions of electrostatic, optical or electromagnetic parameter fields (conductivity $\sigma(x)$, index of refraction $n(x)$, or electric permittivity $\epsilon(x)$ and magnetic permeability $\mu(x)$) which are…

Analysis of PDEs · Mathematics 2009-11-13 Allan Greenleaf , Yaroslav Kurylev , Matti Lassas , Gunther Uhlmann

Superpositions of black holes can be described geometrically using a combined canonical formulation for space-time and quantum states. A previously introduced black-hole model that includes quantum fluctuations of metric components is shown…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Kallan Berglund , Martin Bojowald , Aurora Colter , Manuel Diaz

Artificially structured metamaterials have enabled unprecedented flexibility in manipulating electromagnetic waves and producing new functionalities, including the cloak of invisibility based on coordinate transformation. Here we present…

A modification to the time-energy uncertainty relation in quantum gravity has been interpreted as increasing the duration of fluctuations producing virtual black holes with masses greater than the Planck mass. I point out that such virtual…

High Energy Physics - Theory · Physics 2009-03-27 Paul H. Frampton

We will discuss selected physical effects of spacetime geometry fluctuations, especially the operational signatures of geometry fluctuations and their effects on black hole horizons. The operational signatures which we discuss involve the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. T. Thompson , L. H. Ford

Dynamical black-hole scenarios have been developed in loop quantum gravity in various ways, combining results from mini and midisuperspace models. In the past, the underlying geometry of space-time has often been expressed in terms of line…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Martin Bojowald

We study the quasinormal mode and stability of optical black holes in moving dielectrics. The results show that the real part of complex frequencies is inversely proportional to but the absolute value of an imaginary part is proportional to…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Yang Guo , Yan-Gang Miao

Optical space in metamaterials may be engineered to emulate four dimensional Kaluza-Klein theory. Nonlinear optics of such metamaterials mimics interaction of quantized electric charges. An electromagnetic wormhole is designed, which…

Optics · Physics 2016-07-08 Igor I. Smolyaninov

We study the evaporation of black holes in space-times with extra dimensions of size L. We first obtain a description which interpolates between the expected behaviors of very large and very small black holes and then show that the…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casadio , Benjamin Harms

In this paper we consider possible analogue Hawking radiation from a normal dielectric and metamaterial composite, having an analogue horizon where the dielectric parameters vanish and change sign upon crossing this transition zone. We…

High Energy Physics - Theory · Physics 2020-05-20 Avijit Bera , Subir Ghosh

Propagation of light in a metamaterial medium which mimics curved spacetime and acts like a black hole is studied. We show that for a particular type of spacetimes and wave polarization, the time dilation appears as dielectric permittivity,…

Optics · Physics 2015-11-26 Isabel Fernández-Núñez , Oleg Bulashenko

We consider how transformation optics and invisibility cloaking can be used to construct models in subsets $\mathbb{R}^3$ with a varying metric, where the time-harmonic waves for a given angular wavenumber $k$, are equivalent to the waves…

Analysis of PDEs · Mathematics 2021-03-26 Tracey Balehowsky , Matti Lassas , Pekka Pankka , Ville Sirviö

Black holes can be electromagnetically charged, or carry vector charge from new fundamental fields. Their response to small fluctuations is of paramount importance to study gravitational wave generation. However, the usual even and odd…

General Relativity and Quantum Cosmology · Physics 2023-10-25 David Pereñiguez

The definition of matter states on spacelike hypersurfaces of a 1+1 dimensional black hole spacetime is considered. The effect of small quantum fluctuations of the mass of the black hole due to the quantum nature of the infalling matter is…

High Energy Physics - Theory · Physics 2010-11-01 E. Keski-Vakkuri , G. Lifschytz , S. D. Mathur , M. E. Ortiz

We consider a possibility to construct a quantum-mechanical model of spacetime, where Planck size quantum black holes act as the fundamental constituents of space and time. Spacetime is assumed to be a graph, where black holes lie on the…

General Relativity and Quantum Cosmology · Physics 2007-06-20 Jarmo Makela

Large extra dimensions lower the Planck scale to values soon accessible. The production of TeV mass black holes at the {\sc LHC} is one of the most exciting predictions. However, the final phases of the black hole's evaporation are still…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sabine Hossenfelder , Benjamin Koch , Marcus Bleicher

Exotic phenomenon can be achieved in quantum materials by confining electronic states into two dimensions. For example, relativistic fermions are realised in a single layer of carbon atoms, the quantized Hall effect can result from…

We consider proton decay in theories that contain large extra dimensions. If virtual black hole states are allowed by the theory, as is generally the case, then proton decay can proceed via virtual black holes. The experimental limits on…

High Energy Physics - Phenomenology · Physics 2009-10-31 Fred C. Adams , Gordon L. Kane , Manasse Mbonye , Malcolm J. Perry

Lattices of topological defects, such as Abrikosov lattices and domain wall lattices often arise as metastable ground states in higher-dimensional field theoretical models. We demonstrate that such lattice states may be described as…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Igor I. Smolyaninov

A recent understanding on how quantum effects may affect black-hole evolution opens new scenarios for dark matter, in connection with the presence of black holes in the very early universe. Quantum fluctuations of the geometry allow for…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Francesca Vidotto