Overcome the Pauli Exclusion Principle that neutrons cannot occupy the same space at the same time which would render one neutron (not a sigularity)?

I think you can have more than one neutron occupying the same energy state. It's just that they can't be in the same quantum state. As far as I know anyway.

It don't think this is a problem for neutron stars because the neutrons would just keep moving up to higher energy levels. Again, this is my understanding.

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Originally Posted by Tuttyd

I think you can have more than one neutron occupying the same energy state. It's just that they can't be in the same quantum state. As far as I know anyway.

It don't think this is a problem for neutron stars because the neutrons would just keep moving up to higher energy levels. Again, this is my understanding.

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I thoght neutrons (3-quarks each) were all the same (energy-level-wise) and are fundamental.

A neutron star is not one neutron, if that's what you're getting at. Think of it as a giant ball of neutrons squeezed togerther, with definite volume. The neutrons are each in their own position in the star, so no violation of the Pauli Exclusion Principle - just as the nucleus of a regular atom can have multiple neutrons.

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Originally Posted by ebaines

A neutron star is not one neutron, if that's what you're getting at. Think of it as a giant ball of neutrons squeezed togerther, with definite volume. The neutrons are each in their own position in the star, so no violation of the Pauli Exclusion Principle - just as the nucleus of a regular atom can have multiple neutrons.

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I wanted to know how 10^10 neutrons could collapse into one or nothing when gravity is external, like the restoring force of an elastic continuum trying to return to equilibrium, displaced by matter? With time, mass and length variant the stress tensor in EFE seems to be similar to that in continuum mechanics.

Please clarify - what do you mean by "collapse into nothing?" Neutron stars do not collapse into nothing. Are you asking about the formation of black holes?

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Originally Posted by ebaines

Please clarify - what do you mean by "collapse into nothing?" Neutron stars do not collapse into nothing. Are you asking about the formation of black holes?

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According to black-hole theory neutron stars collapse into siinguarities. For that to happen a sequence of events where neutrons occupy the same space at the same time need to occur until the last one is nothing.

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Originally Posted by nykkyo

According to black-hole theory neutron stars collapse into siinguarities. For that to happen a sequence of events where neutrons occupy the same space at the same time need to occur untill the last one is nothing.

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I don't think black hole theories postulate, "nothingness" unless you are referring to Hawking radiation whereby black holes eventually evaporate and explode.

The problem with gravitational singularity theories is pretty much the same problem with the Big Bang theory. The mathematics breaks down. This probably indicates that there is something wrong with the theory or there is a piece missing.

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Originally Posted by Tuttyd

I don't think black hole theories postulate, "nothingness" unless you are referring to Hawking radiation whereby black holes eventually evaporate and explode.

The problem with gravitational singularity theories is pretty much the same problem with the Big Bang theory. The mathematics breaks down. This probably indicates that there is something wrong

with the theory or there is a piece missing.

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Yes. If a hole is cored through the center of the Earth and a ball is droped in the hile, it will oscilate bak and forth across the center f the Earth. Gm0m1/r^2 is only vaiid when the minimum "r" is the radius of the Earth. The ensuing wave is the displacement of the ball with respect to time from the center of mass of Earth. In the case of the ball, the centers of mass above the ball and below reciprocate yielding a time-wave: R(cos wt), R is radius of Earth.

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Originally Posted by nykkyo

According to black-hole theory neutron stars collapse into siinguarities. For that to happen a sequence of events where neutrons occupy the same space at the same time need to occur untill the last one is nothing.

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Actually neutron stars can exist without collapsing into nothingness. You may be thinking of the process where a massive star experiences a nova and the remnant is so massive that it collapses through the neutron star stage into a black hole. Hence it's not an external force that causes the collapse of the neutron star phase, but rather internal gravity that is so intense that the neutrons can't sustain themselves.

I do agree that the standard theory of quantum mechanics falls apart at this stage, and that the Pauli Exclusion Principle is violated. We need more theoretical advancements to better understand what happens in the formation of black holes.

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Originally Posted by ebaines

Actually neutron stars can exist without collapsing into nothingness. You may be thinking of the process where a massive star experineces a nova and the remnant is so massive that it collapses through the neutron star stage into a black hole. Hence it's not an external force that causes the collapse of the neutrin star pahse, but rather internal gravity that is so intense that the neutrons can't sustain themselves.

I do agree that the standard theory of quantum mechanics falls apart at this stage, and that the Pauli Exclusion Principle is violated. We need more theoretical advancements to better understand what happens in the formation of black holes.

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Exactly!!

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Originally Posted by nykkyo

Exactly!!!!!

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If the neutrons are tightly packed without space between them how do they deform any space to produce gravity; since action at a distance (force between them) doesn't exist?

Action-at-a-distance is contrary to GR!!

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Originally Posted by nykkyo

If the neutrons are tightly packed without space between them how do they deform any space to produce gravity; since action at a distance (force between them) doesn't exist?

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Please clarify what you mean - this makes no sense as written. Why is space between neutrons required for them to exhibit gravity? Are you suggesting that neutrons and protons within the nucleus of a normal atom produce no gravity? (They too are packed tightly together.)

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Originally Posted by ebaines

Please clarify what you mean - this makes no sense as written. Why is space between neutrons required for them to exhibit gravity? Are you suggesting that neutrons and protons within the nucleus of a normal atom produce no gravity? (They too are packed tightly together.)

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GR states gravity is a consequence of the deformation of space. If there is no space surrounding the inner neutrons then from where does the internal gravity come,