A Whirlpool Mimics Gravity express

Original: "Unified Hydrodynamic Analogue of Aharonov-Bohm and Lense-Thirring Effects"
arXiv:2604.21543 · 2026-04-23 · CC BY 4.0 · 1 min
A bathtub vortex bends waves the way a spinning Earth drags space around it.

Water going down the drain swirls into a vortex. An everyday sight in the kitchen. But this very vortex turned out to be able to reproduce two effects that physicists usually associate with black holes and the rotation of planets.

The first effect is the shift of a wave as it goes around an obstacle. A person walks around a pole, and their shadow on the wall shifts, even though they return to the starting point. Roughly in the same way, waves going around a vortex acquire a shift that depends on how much water flows through the drain. This shift is named after physicist Yakir Aharonov and his colleague Bohm, who described similar behavior of electrons in a magnetic field.

The second effect is even more striking. If you create standing waves on the water surface, like the ripple in a glass that hasn't been disturbed, their pattern will slowly start to rotate in the vortex. The rotation speed is set by the water flow, not by the wave itself. This is an exact replica of how the rotating Earth drags space along, causing gyroscopes to change their axis.

This coincidence is not accidental. The mathematics describing waves on water turned out to be almost the same as the equations for particles in curved spacetime. The only difference is that the role of gravity is played by the speed of the water flow. So a vortex in a tank is a miniature model of the universe, where you can touch with your hands what usually hides in equations.

The phase shift of a wave in a vortex persists even if the wave goes around it several times, like a clock hand that accumulates lag with each revolution.

In the movie 'Interstellar', the heroes see how the rotation of a black hole drags space — in a water vortex, this effect can be reproduced in a garage.

Scientists
Bernhard RiemannJoseph WeberKarl SchwarzschildKip ThorneRainer WeissAlbert Einstein
Concepts
frame dragging hydrodynamics fluid flow Aharonov–Bohm effect hydrodynamic simulation turbulence velocity wavefront superfluid vortex vorticity Kelvin-Helmholtz instability obstacle vortex lattice Water wind stress Navier-Stokes equations Lense–Thirring effect turbulent boundary layer wave Hovmöller diagram