Pauli Exclusion Principle

[woody3254]

So two identical fermions can't occupy the same quantum state. But if one is same except higher in energy then the quantum wave pattern is different so can occupy the same space. Are there any values on the amount of energy needed to make two neutrons exist in the same space?

I'm doing a research project into black holes and was wondering whether there was a possibility that the high density was due to the high energy allowing neutrons to overlap. If anyone also knew any other energy levels to do with black holes, neutron stars or collapsing stars??

 

[guguma]

An interesting idea indeed, you may or not know this but in the case of white dwarf's it is a degenerate electron gas fighting against the gravitational collapse and in the case of neutron stars it is a degenerate neutron gas, so assuming a break down of a degenerate fermion gas in the black holes is reasonable.

On the other hand there is the Pauli Exclusion Principle.

It is more likely for the hadronic structure to break down, rather than fermionic hadrons overlapping. The previous one does not violate Pauli Principle and the latter does.

So there is no more neutrons or protons in the black hole but only quarks and leptons doing some weird thing.

Black Holes are weird objects indeed, it may even be that quarks and leptons are concentrated on a single point, or maybe there is another fermion gas fighting against the gravity. I do not know.

Anyway good luck on your research