Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole

Abstract

We provide an experimental demonstration that the circular hydraulic jump represents a hydrodynamic white hole or gravitational fountain (the time-reverse of a black hole) by measuring the angle of the Mach cone created by an object in the "supersonic" inner flow region. We emphasise the general character of this gravitational analogy by showing theoretically that the white hole horizon constitutes a stationary and spatial saddle-node bifurcation within dynamical-systems theory. We also demonstrate that the inner region has a "superluminal" dispersion relation, i.e., that the group velocity of the surface waves increases with frequency, and discuss some possible consequences with respect to the robustness of Hawking radiation. Finally, we point out that our experiment shows a concrete example of a possible "transplanckian distortion" of black/white holes.

5 pages, 5 figures. New "transplanckian effect" described. Several clarifications, additional figures and references. Published version

References in corpus (3)

• Measurement of stimulated Hawking emission in an analogue system
• Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
• Horizons and Ergoregions in Superfluids

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