This is just an interesting question that came up in another thread. Does Heisenberg's Uncertainty Principle have anything to say about matter inside a black hole?

How precisely can we define the location? I'm thinking in one sense, we can't define it precisely at all. But in another sense maybe the accuracy is too precise?

If we can locate the event horizon on more than one side of it, then we can determine the location of the center. We know all or at least most of the mass is confined to a tiny dot in that space.

However, I'm not overly confident that we can locate the event horizon to high accuracy. Even matter coming very near the horizon would have trouble leaving. If we use gravitational lensing then we're subject to the limitations of the "lens" in precisely directing the light.

If we can determine location to very high precision, then does the indeterminacy of the speed present a problem? Clearly no matter how fast the matter is moving, it is still stuck there. Would high enough indeterminacy allow the matter to exceed C? (Create a range of possibilities wider than 0 to C?)

If we can't determine the location to very much precision at all, does that place tighter constraints on the speed? Would it have to be moving at a specific, narrow, and/or predictable range of velocities?