Analog Electromagnetic Black Holes Made of Water

Abstract

A novel analog black hole model is introduced, which is based on the divergent dielectric permittivity of water in the radio frequency range. An interesting aspect of this system is the possibility to study the appearance of surface electromagnetic modes in such an analog black hole model. The gravity-capillary waves on the water surface, which act as analogs of spacetime fluctuations, lead to appearance of gradient surface electromagnetic waves at the emulated horizon. Such models become especially interesting in the case of extreme Reissner-Nordstrom black holes which are shown to behave as spherical waveguide resonators, in which photons and gravitons acquire effective mass. Optical and gravitational wave lasing may be expected in such situations based on the analogy with optical whispering gallery mode lasers made of water droplets.

Keywords

analog black hole / water / extreme Reissner-Nordstrom black hole

References

[1] Leonhardt U.; Philbin T.G.; General relativity in electrical engineering. New J. Phys. 2006, 8, 247.

[2] Landau L.D.; Lifshitz E.M.; The Classical Theory of Fields; Pergamon Press: New York, NY, USA, 1971; Volume 2.

[3] Reznik B. Origin of the thermal radiation in a solid-state analog of a black hole. Phys. Rev. D 2000, 62, 044044.

[4] Smolyaninov I.I. Surface plasmon toy-model of a rotating black hole. New J. Phys. 2003, 5, 147.

[5] Cheng Q.; Cui T.J.; Jiang W.X.; et al. An electromagnetic black hole made of metamaterials. arXiv 2009, arXiv:0910.2159.

[6] Turimov B.; Smolyaninov I.I.; Curved spacetime as a dispersive multiferroic medium for an electromagnetic wave: Polarization and magnetization vectors in the Schwarzschild spacetime. Chin. J. Phys. 2023, 85, 186-195.

[7] Cai R.-G.; Yang R.-Q. Paramagnetism-ferromagnetism phase transition in a dyonic black hole. Phys. Rev. D 2015, 91, 026001.

[8] Nguenouho O.S.B.; Chevalier A.; Potelon B.; et al. Dielectric characterization and modelling of aqueous solutions involving sodium chloride and sucrose and application to the design of a bi-parameter RF-sensor. Sci. Rep. 2022, 12, 7209.

[9] Landau L.D.; Lifshitz E.M. Electrodynamics of Continuous Media; Pergamon Press: New York, NY USA, 1984; Volume 8.

[10] Smolyaninov I.I. Surface electromagnetic waves near a black hole event horizon and their observational consequences. Astronomy 2022, 1, 49.

[11] Smolyaninov I.I. Surface electromagnetic waves in lossy conductive media: Tutorial. J. Opt. Soc. Am. B 2022, 39, 1894.

[12] Zayats A.V.; Smolyaninov I.I.; Maradudin A. Nano-optics of surface plasmon-polaritons. Phys.Rep. 2005, 408, 131-314.

[13] Kukushkin A.V. On the existence and physical meaning of the Zenneck wave. Phys. Uspekhi 2009, 52, 755.

[14] Smolyaninov I.I.; Balzano Q.; Davis C.C.; et al. Surface wave-based underwater radio communication. IEEE Antennas Wirel. Propag. Lett. 2018, 17, 2503-2507.

[15] Smolyaninov I.I.; Balzano Q.; Smolyaninova V.N.; et al. Electromagnetic signal propagation through lossy media via surface electromagnetic waves. Nanophotonics 2024, 13, 1005-1015.

[16] Smolyaninov I.I. Effective photon mass in the presence of gravity gradient emulated by an electromagnetic medium. J. Opt. Soc. Am. B 2024, 41, 1901.

[17] de Broglie L. Problemes de Propagations Guidees des Ondes Electro-Magnetiques; Gauthier-Villars: Paris France, 1941.

[18] Witten E. Search for a realistic Kaluza-Klein theory. Nucl. Phys. B 1981, 186, 412.

[19] Emelyanov S. Effective photon mass from black-hole formation. Nucl. Phys. B 2017, 919, 110.

[20] Lin H.-B.; Huston A.L.; Justus B.L.; et al. Some characteristics of a droplet whispering-gallery-mode laser. Opt. Lett. 1986, 11, 614.

[21] Strelkov A.V.; Petrov G.A.; Gagarski A.M.; et al. Quantum states of neutrons in the Earth’s gravitational field. Nature 2002, 415, 297.

[22] Bessonov E.G. Grasers based on particle accelerators and on lasers. arXiv 1998, arXiv:physics/9802037.