I don't really see it. Aside from not doing anything (to my understanding) to go around non-locality posed by the black hole, the 'classroom case'[1] of where those two theories break is almost too mundane to hope for a clue here. I'd very much like to be wrong, though. [1] - In double slit experiment, if the electron goes through both slits at the same time, which point in space would be acted on gravitationally? I'm pretty sure the blueshift is finite until the very singularity, but I'm not savvy enough to estimate intensity.It seems like the spaghettification process could provide a good playground for reconciling [general] relativity and quantum mechanics
Damn, now I'm wondering if all the blue-shifted cosmic microwave background radiation would kill me on the spot, or just give me radiation sickness.