A rotating black hole drags spacetime along with it — the inertial frame dragging effect. Researchers showed that Cooper pairs (bound electrons in a superconductor) in this field acquire a phase shift, similar to the Aharonov-Bohm effect. For supermassive black holes Sgr A* and M87*, the phase shift is colossal: 10²⁴ and 10²⁷ radians. Tidal forces do not destroy the pairs at distances greater than 10 Schwarzschild radii, which in principle allows using quantum coherence to 'weigh' the spin of black holes. Such a gravimagnetic compass is still hypothetical, but it links superconductivity with the curvature of the Universe.
A spinning black hole drags spacetime with it, like a spoon swirling thick honey. This vortex is a manifestation of curved spacetime. But the key point: it can change the quantum rhythm of matter, even where there are no forces.
The culprit is an effect discovered by Yakir Aharonov and David Bohm: the “wave rhythm” of a quantum particle (called its phase) can shift under the influence of an invisible field. Scientists applied this idea to electron pairs—the main carriers of superconductivity. Near a supermassive black hole (like Sagittarius A* at the center of the Galaxy) the phase shift reaches 10²⁴ radians. For comparison: a full turn of a clock hand is only about 6 radians, while here the shift is equivalent to billions of rotations.
We can't test it directly yet, but the same effect, only much weaker, is already being captured in Earth-based experiments: there, space is twisted by our planet’s rotation.
🎯 This shift is so huge that it would correspond to 10²³ full turns — trillions of times more than the number of stars in our Galaxy.
🎬 In the movie Interstellar, the characters saw how the black hole Gargantua twists space itself.