The problem with this is that it oversimplifies the problem. We still have to overcome the chief issue, which is that it requires an impossible amount of energy to get up, rifle through the junk drawer, find a pencil that isn't busted, test it, and then push it through that paper.
The only correct answer you will ever receive: We don't know. Our understanding breaks down at the event horizon. With our current levels of physics and math it's literally impossible for us to know for certain. It'll require a massive breakthrough before we have an idea.
pretty sure what happens is go into a hell dimension and then your ship comes back haunted but this is mostly based on watching Event Horizon over and over
...and paper is small compared to the scale of the universe. If you could find a wormhole which collapsed the distance between two points from a thousand light years to a hundred light years it still doesn't get you anywhere.
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