- #1

Jyrioffinland

- 8

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- TL;DR Summary
- I'm wondering why QM does not deny singularities from happening (given they do exist).

I'm wondering about some aspects about black holes (BH) and singularities, but since all my questions have to do mostly with quantum mechanics, I placed this thread in here.

OK, let's assume there IS a singularity in the middle of a BH.

A) Pauli exclusion principle (PEP) says no two fermions can occupy the same quantum state (QS). Why can it be out-ruled by immense gravity? Shouldn't there be a non-singular stack/ball of fermions in different QS's instead of the singularity? How much gravity is enough to throw PEP in the thrash? Mathematically, it should not be possible.

B) The elementary particles are not point-like, but rather wave-package-like in spacetime. They do, and the singularity should also, obey the Heisenberg's uncertainty principle. Since its momentum is measurable to a pretty exact degree, there should be enough wiggle room spatially for it to have a non-zero volume. Why does it still vanish?

C) Also, those wave-packages should not have an infinite gravitational pull towards each other when they come close enough. When they completely overlap, the gravitational pull should go to zero (as then all gravity gets canceled out). Thus, there would be no gravitational pull in the middle of the BH if all matter were in an (all-but-)point-like singularity.

I wish you can show me why I'm wrong (or, hopefully, correct) here.

OK, let's assume there IS a singularity in the middle of a BH.

A) Pauli exclusion principle (PEP) says no two fermions can occupy the same quantum state (QS). Why can it be out-ruled by immense gravity? Shouldn't there be a non-singular stack/ball of fermions in different QS's instead of the singularity? How much gravity is enough to throw PEP in the thrash? Mathematically, it should not be possible.

B) The elementary particles are not point-like, but rather wave-package-like in spacetime. They do, and the singularity should also, obey the Heisenberg's uncertainty principle. Since its momentum is measurable to a pretty exact degree, there should be enough wiggle room spatially for it to have a non-zero volume. Why does it still vanish?

C) Also, those wave-packages should not have an infinite gravitational pull towards each other when they come close enough. When they completely overlap, the gravitational pull should go to zero (as then all gravity gets canceled out). Thus, there would be no gravitational pull in the middle of the BH if all matter were in an (all-but-)point-like singularity.

I wish you can show me why I'm wrong (or, hopefully, correct) here.