cdux said:I understand that there may be no answer to the question "Why is Pauli Exclusion Principle not applied beyond a Neutron Star's mass?" since there may not be a full quantum gravity theory yet, however, I'm thinking, what if Pauli Exclusion Principle is not really a principle, but an indication that there is a force, a strong reactive force to the formation of Black Holes that can be overcome only under extreme masses?
what if Pauli Exclusion Principle is not really a principle, but an indication that there is a force, a strong reactive force to the formation of Black Holes that can be overcome only under extreme masses?
ZealScience said:Whereby, electrons are caught by protons and become neutrons via process similar to Beta reaction.
questionpost said:Hmm, that's what I use to think that too, but electrons can actually exist inside the nuclei of atoms without fusing with them due to their wave mechanics, and they are in a higher energy state if they are forced below their ground state.
What if Quark Stars are Black Holes and the Event Horizon coincides with the demolition of the Pauli Principle?ZealScience said:And theoretically, there are quark stars, but they are not discovered by any means.
ZealScience said:But I don't think that it is so in this case. Under immense gravity, this type of beta decay is very possible. And I think that this reaction is energy releasing (well, not quite sure); therefore, it more likely to happen.
cdux said:What if Quark Stars are Black Holes and the Event Horizon coincides with the demolition of the Pauli Principle?
Drakkith said:Inverse beta decay does not release energy. It takes an electron, combines it with a proton and forms a neutron, which is more massive than the proton and the electron, so it requires energy to create. My understanding is that under the pressures at neutron star density, it is simply more favorable to occur because it would require MORE energy for the electron to remain outside the nucleus in those conditions. In degenerate material, as the pressure increases the electrons are pushed closer together, but also acquire more energy, as the HUP says that since their position is constrained more and more then their momentum must become more uncertain. At a certain point the energy of the electrons become so great that inverse beta decay starts.
http://en.wikipedia.org/wiki/Degenerate_matter
As far as I know, a quark star would be more dense than a neutron star, but not have an event horizon yet. If it did, then it would be a Black Hole and not what we call a Quark Star.
ZealScience said:Oh, sorry, I didn't look upon those. But if electrons have higher energy out side the nucleus, does it mean that, in the situation, electrons' relativistic mass is greater than those in normal atoms?
And I don't think that quark stars have already become black holes, since inside the event horizon, particles cannot communicate; therefore, in my perspective, no repulsion is likely to build up between quarks.
Drakkith said:What do you mean? Particles inside the event horizon can and do communicate with each other. It is quite possible for you to fall inside the event horizon of a supermassive black hole and still be alive, as the gravitational gradient is very small.
But more to the point, even if the matter inside a black hole was in a quark degeneracy state, it would still be called a black hole, as it has an event horizon for light. If it did not have an event horizon then it would not be a black hole.
ZealScience said:Sorry, I mean near the singularity. In models schwarzschild black hole, the light cones end at the singularity point and therefore the particles near the singularity would collapse.
The standard theory of black holes emerging from stars assumes that the Pauli principle IS valid in black holes.cdux said:I understand that there may be no answer to the question "Why is Pauli Exclusion Principle not applied beyond a Neutron Star's mass?" since there may not be a full quantum gravity theory yet, however, I'm thinking, what if Pauli Exclusion Principle is not really a principle, but an indication that there is a force, a strong reactive force to the formation of Black Holes that can be overcome only under extreme masses?
The Pauli Exclusion Principle is a fundamental principle in quantum mechanics that states that no two fermions (particles with half-integer spin) can occupy the same quantum state simultaneously. This means that in a system of fermions, each particle must have a unique set of quantum numbers, including spin, energy, and momentum.
The Pauli Exclusion Principle plays a key role in the formation and behavior of black holes. As a star collapses under its own gravity, its core becomes incredibly dense, with a large number of particles occupying a very small space. According to the Pauli Exclusion Principle, these particles cannot have the same quantum state, so they must pile up on each other, creating immense pressure that prevents further collapse. This pressure is what supports the structure of a black hole.
No, the Pauli Exclusion Principle is a fundamental principle of quantum mechanics and cannot be violated. However, in extreme conditions such as those found in black holes, the principle can lead to some seemingly paradoxical effects, such as the existence of a singularity at the center of a black hole where the laws of physics break down.
The Pauli Exclusion Principle plays a crucial role in the behavior of matter near a black hole. As matter falls towards the black hole, it becomes increasingly compressed and heated due to the immense gravitational forces. At a certain point, the matter may reach a state known as a degenerate matter, where the particles are so tightly packed that they can no longer be compressed. This is due to the Pauli Exclusion Principle, which prevents the particles from occupying the same quantum state and therefore cannot be squeezed any further.
The Pauli Exclusion Principle is a key factor in understanding black hole thermodynamics, which describes the behavior of black holes in terms of temperature, entropy, and energy. The principle dictates that as matter falls into a black hole, its entropy (a measure of disorder) increases, which contributes to the overall entropy of the black hole. This helps explain the second law of thermodynamics, which states that the total entropy of a closed system always increases over time, including in the case of black holes.