Conceptual problem on black hole singularity

In summary, a black hole has a point of infinite density and zero volume due to the predictions of general relativity, but this could also suggest that general relativity may need to be extended to handle extreme conditions. Similar situations have occurred before in physics, such as the need for special relativity to handle objects moving at high speeds. The singularity in Coulomb's Law is another example of a theoretical limit that may require further understanding in physics.
  • #1
assassinsdoc
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I've read that there's a point in a black hole where matter is infinitely dense. There is zero volume but infinite density.
How is it possible for something to have zero volume but have an infinite density at the same time?
 
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  • #2
I've read that there's a point in a black hole where matter is infinitely dense.
Probably not, but we don't know.

How is it possible for something to have zero volume but have an infinite density at the same time?
The combination of both is way better than a finite volume with infinite density (which would have an infinite mass). There is no fundamental problem with such a singularity, it's just our knowledge of physics that does not work there.
 
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  • #3
assassinsdoc said:
I've read that there's a point in a black hole where matter is infinitely dense. There is zero volume but infinite density.

That is the result that general relativity predicts - if you assume that general relativity applies at arbitrarily small distances and high arbitrarily high densities. We could just as reasonably take this result as a hint that general relativity doesn't apply under such extreme conditions and that we'll need to extend GR with some new physics to handle this problem.

Similar things have happened before. Newtonian mechanics works just fine until you try applying it to objects moving at speeds near that of light, and then you have to extend it with special relativity to handle those extreme velocities.
 
  • #4
Nugatory said:
Similar things have happened before. Newtonian mechanics works just fine until you try applying it to objects moving at speeds near that of light, and then you have to extend it with special relativity to handle those extreme velocities.
Well, that's a bit different. Newtonian physics would work fine with arbitrary velocities - if there is a preferred reference frame. There is no theoretical issue with that theory, it just does not happen to be realized.
 
  • #5
mfb said:
Well, that's a bit different. Newtonian physics would work fine with arbitrary velocities - if there is a preferred reference frame. There is no theoretical issue with that theory, it just does not happen to be realized.

Fair enough... I was a bit uncomfortable with that example for exactly that reason, then decided that it was close enough to make the point about the limits of applicability of a theory even though it's not quite the same... What would be better example?
 
  • #6
Nugatory said:
What would be better example?
The singularity in Coulomb's Law as r -> 0?
 
  • #7
bapowell said:
The singularity in Coulomb's Law as r -> 0?

D'oh. Thanks.
 

Related to Conceptual problem on black hole singularity

What is a black hole singularity?

A black hole singularity is a point of infinite density and zero volume at the center of a black hole, where the laws of physics as we know them break down.

What is the cause of a black hole singularity?

The cause of a black hole singularity is the gravitational collapse of a massive object, such as a dying star, into an infinitely small point due to its own immense gravity.

Can anything escape a black hole singularity?

No, according to our current understanding of physics, nothing can escape a black hole singularity, not even light. The intense gravitational pull is too strong for anything to escape.

What happens to time and space at a black hole singularity?

At a black hole singularity, time and space become infinitely distorted. This means that time slows down and space is infinitely stretched, making it impossible to predict what happens at the singularity.

Is there a way to study or observe a black hole singularity?

Currently, there is no way to directly study or observe a black hole singularity. However, scientists can study the effects of a black hole singularity on its surroundings and make theoretical predictions based on the laws of physics.

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