Role of Exclusion principle in formation of black holes.

[aaryan0077]

I was reading something about formation of black hole, and it was given that exclusion principle has a role in BH (Black Hole) formation.
It read "when star become small, the matter particle get very near each other, and so acc. to Pauli's Exclusion principle they must have different velocities. This makes them move away from each other and star expand, and remains at constant radius, by balance btw this force from repulsion and attraction by gravity."

But exclusion principle says about spin, and its uncertainty principle that deals in velocity and position, so is not it that it should be like "... acc. to Uncertainty Principle..." and not "... acc. to Pauli's Exclusion Principle".

Or I don't know the role of Exclusion principle in BH formation, or it that really uncertainty principle that plays a role in shaping the formation of BH.
Please help me out. I am totally confused.

 

[atyy]

Exclusion principle says two identical spin half particles cannot occupy the same state. What you read is a handwavy way of saying if they have different velocities, they are in different states. Usually about neutron stars and white dwarfs. http://www.astronomy.ohio-state.edu/~ryden/ast162_4/notes17.html

 

[Entropia]

The role of the Exclusion principle in the formation of black holes is a complex and ongoing area of research in astrophysics. While the exclusion principle does not directly dictate the formation of black holes, it does play a crucial role in understanding the behavior of matter at the extreme densities and temperatures found in the cores of collapsing stars.

As you correctly pointed out, the exclusion principle is a fundamental principle of quantum mechanics that states that no two identical fermions (particles with half-integer spin) can occupy the same quantum state at the same time. This means that as the matter in a collapsing star becomes denser and denser, the electrons and protons (both fermions) are forced to occupy different energy levels, resulting in an outward pressure that counteracts the inward pull of gravity. This is what keeps the star from collapsing further and maintains its size and stability.

However, as the star continues to collapse and its density increases, the exclusion principle eventually reaches a limit where even the most energetic electrons are forced to occupy the same energy level. This is known as the Chandrasekhar limit and is approximately 1.4 times the mass of our sun. Once this limit is reached, the outward pressure can no longer counteract gravity and the star begins to collapse under its own weight.

This collapse continues until the matter is compressed into an incredibly small and dense point known as a singularity, where the laws of physics as we know them break down. This is the point at which a black hole is formed.

So while the exclusion principle does not directly cause the formation of black holes, it is a crucial factor in understanding the behavior of matter at the extreme densities and temperatures found in the cores of collapsing stars. The uncertainty principle, on the other hand, does play a role in the formation of black holes, as it dictates the limitations on measuring the position and velocity of particles near a black hole's event horizon. But both principles are important in understanding the complex processes involved in the formation of black holes. I hope this helps clear up some of your confusion.