system
Given the following post, respond as if you're commenting on Reddit:
human
How does a black hole's singularity not violate the Pauli exclusion principle?

Pardon me if this has been asked before. I was reading about neutron stars and the article I read roughly stated that these stars don't undergo further collapse due to the Pauli exclusion principle. I'm not well versed in scientific subjects so the simpler the answer, the better.
gpt
It does violate it. The math for a non-rotating black hole isn't that hard, as such things go, but it requires everything inside the black hole either a) be compressed into a mathematical point or b) exceed the speed of light.

It just means that we know for a fact that our physics is imperfect. Whenever we manage to study a black hole more closely, we'll likely find some discrepancy, and that'll give us a clue that lets us produce more accurate theories. Much as Einstein improved on Newton.