Can High Energy Levels Allow Neutrons to Overlap in Black Holes?

[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

 

[denian]

The Pauli Exclusion Principle is a fundamental principle in quantum mechanics that states that two identical fermions (particles with half-integer spin) cannot occupy the same quantum state simultaneously. This principle plays a crucial role in understanding the behavior of matter at a microscopic level.

In regards to your question about whether there are any energy values at which two neutrons can exist in the same space, the answer is no. The Pauli Exclusion Principle applies to all energy levels, not just the ground state. This means that even if one neutron is in a higher energy state, it cannot overlap with another neutron in the same space due to their identical quantum properties.

As for your research project on black holes, it is important to note that the high density of black holes is not due to the overlap of neutrons, but rather the extreme gravitational pull that causes the collapse of matter into a singularity. Neutron stars, on the other hand, are formed from the collapse of a massive star's core, and their high density is due to the compression of neutrons within the star.

In terms of energy levels related to black holes, neutron stars, and collapsing stars, there are several interesting phenomena to explore. For example, the event horizon of a black hole is defined by the Schwarzschild radius, which is determined by the mass of the black hole. As the mass increases, the Schwarzschild radius also increases, leading to a stronger gravitational pull and a larger event horizon. Additionally, as matter falls into a black hole, it can release enormous amounts of energy in the form of radiation and jets.

In neutron stars, the intense gravitational pull causes the neutrons to be packed tightly together, creating a state of matter known as neutronium. This state is thought to be the densest form of matter in the universe.

Overall, there are many fascinating energy levels and phenomena associated with black holes, neutron stars, and collapsing stars that continue to be studied and researched by scientists. I hope this helps to provide some insight into your research project.