Black hole vortex shifts quantum rhythm express

Original: "Aharonov-Bohm Effect for Cooper Pairs in Kerr Spacetime: Gravitomagnetic Phase Shifts from Frame Dragging"
· Erdem Sucu, İzzet Sakallı
arXiv:2602.20337 · 2026-02-23 · CC BY 4.0 · 1 min
Calculations show that a black hole's spin can dramatically alter a superconductor's internal rhythm.

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.

\Delta\theta = \frac{4\pi m^* M a}{\hbar} \left(\frac{1}{r_2} - \frac{1}{r_1}\right)
Δθ — phase shift (wave rhythm shift), m* — mass of the electron pair flowing without resistance (twice the electron mass), M — black hole mass, a — its spin parameter, ħ — fundamental quantum constant, r₁ and r₂ — distances from the black hole to the measuring device.
Scientists
William UnruhRoger PenroseStephen HawkingJacob BekensteinHenri PoincaréFritz Zwicky
Concepts
Aharonov–Bohm effect kerr metric Cooper pair berry curvature geometric phase magnetism rotating black hole kerr black hole Birkhoff's theorem Berry phase quantum gravity effects kerr effect backreaction