Black hole vortex shifts quantum rhythm ⚡ экспресс
The gravimagnetic Aharonov-Bohm effect is investigated for Cooper pairs in Kerr spacetime. The black hole's spin, through the off-diagonal metric component $$g_{t\phi}$$, creates an effective vector potential that shifts the phase of the superconducting condensate. For an interferometer with arms at radii $$r_1$$, $$r_2$$, a gauge-invariant phase shift is obtained: $$\Delta\theta = (4\pi m^* M a/\hbar)(1/r_2 - 1/r_1)$$, where $$m^*=2m_e$$ is the Cooper pair mass, $$a$$ is the black hole spin parameter. Near Sgr A* and M87*, phases of order $$10^{24}$$ and $$10^{27}$$ rad are predicted, reflecting the colossal gravimagnetic flux of supermassive objects. Tidal disruption of pairs is shown to be negligible at $$r \gtrsim 10\,r_s$$, and a connection to the Berry geometric phase is established. Direct verification is currently impossible due to distances, but the theory links quantum coherence with spacetime curvature, generalizing observations of gravitational Aharonov-Bohm phases in atomic interferometry.
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.