Famous quantum double-slit experiment shows symmetric wave pattern of distribution of electrons, light and matter particles coming through two slits. But what this experiment would show near a black hole or very heavy mass near one of slits? Due to extreme spacetime curvature we should expect an uneven distribution when particles would concentrate more behind a slit close to a black hole or even fall into it. The question is related to recent paper predicting shifting of quantum wavw distributions towards heavy mass
https://www.researchgate.net/publication/370283258_Quantum_Gravity_Based_on_Generalized_Thermodynamics
According to a thought experiment conducted by physicists from Princeton University and the University of Chicago, performing the famous double-slit experiment near a black hole will never work because its mere presence ruins all quantum states in its vicinity¹. Any quantum experiment done near a black hole could set up a paradox, in which the black hole reveals information about its interior — something physics says is forbidden. The way around the paradox is if the black hole simply destroys any quantum states that come close¹.
In this thought experiment, the team imagined a person performing the famous double-slit experiment in a lab orbiting a black hole. In this classic example of quantum physics, a scientist sends a particle, like an electron or a photon, toward a pair of slits in a solid barrier. If no one observes the particle’s progress, an interference pattern typical of waves appears on a screen on the other side of the barrier, as if the particle went through both slits at once. But if someone or some device measures the particle’s path, it will register as having gone through one slit or the other. The particle’s quantum state of apparently being in two places at once collapses¹.
(1) Black holes resolve paradoxes by destroying quantum states. https://www.sciencenews.org/article/black-hole-paradoxes-quantum-states.
(2) double slit experiment - Quantum phenomena near black hole event .... https://physics.stackexchange.com/questions/16038/quantum-phenomena-near-black-hole-event-horizon.
(3) The classic double-slit experiment, performed near a black hole. https://www.researchgate.net/figure/The-classic-double-slit-experiment-performed-near-a-black-hole_fig1_318671107.
(4) Black holes and quantum experiments: A strange paradox that destroys .... https://www.republicworld.com/science/space/black-holes-and-quantum-experiments-a-strange-paradox-that-destroys-quantum-states-articleshow.html.
The curvature outside the black hole horizon isn’t particularly large; it only becomes large ``close" to the singularity.
On the other hand the black hole spacetime is a classical spacetime, so, as long as the radius of curvature is much larger than the de Broglie wavelength, the effects on the interference pattern shouldn’t be noticeable.
It’s only when the quantum probe can interact with the black hole microstates, that something non-trivial will occur-and that’s around lengthscales of the order of the Planck length,``in the vicinity of the horizon" (the quotes are there since the horizon is a light-like surface).
So the answer is ``nothing out of the ordinary''. In particular, if the experiment is performed by an external observer, since that observer will never experience the singularity, nothing will occur, beyond a slight phase shift due to spacetime curvature.
The same, indeed, will occur for observers that do have the singularity in their future, since they can't notice anything until they hit it.
It's only if the observers can interact with the microstates that they can and will notice something.
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