Black Hole Radius: Facts & Theory

AI Thread Summary
The discussion centers on whether a black hole has a radius or if it is effectively zero, focusing on the distinction between the singularity and the event horizon. While classical General Relativity (GR) suggests a singularity with zero radius, the complexities of gravity at such extreme scales lead to uncertainties about the nature of mass and area. The conversation highlights the challenge of reconciling GR with Quantum Mechanics (QM), particularly at the singularity where traditional concepts of mass and area may not apply. Participants emphasize that assumptions based on classical mechanics do not hold true at quantum scales, complicating the understanding of black holes. Ultimately, the nature of mass and area in black holes remains a profound question in modern physics.
delta_simon
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Does a black hole have a radius or is it zero?
I don't mean the event horizon, but the matter that have been squized down forming the black hole.
 
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Classically the radius would be zero. But that's why there is an event horizon - so we don't have to ask questions like this.
 
The classical GR black hole solution does not apply close to the singularity so we don't know what's going on there.
 
Why would the radius classically be zero? I mean it´s just matter squezed tight together? Would the gravity eliminate all neutrons into a single point?
 
Because in classical mechanics there is no limit to how small you can squeeze the particles. Basically all bets are off inside the event horizon.
 
Still, any point of mass must have some sort of area, and most spatial bodies are spherical in essence, so it would have a radius, or atleast a cross section of its center would.
 
If you believe GR, then the centre settles down to exactly zero radius. Anything less extreme would violate classical GR. (Hence, we suspect GR is wrong in that regime.)
 
madphysics said:
Still, any point of mass must have some sort of area
When you get that small you are in Quantum mechanics territory, anything that seems reasonable or obvious when talking about larger objects is wrong.

Getting GR ( the study of gravity and large classical objects ) and QM ( the study of small objects that aren't there if you don't observe them) to match up has been the main bit of physics for the last 80years. A singluarity is where they meet - so don't expect to understand it.
 
mgb_phys said:
When you get that small you are in Quantum mechanics territory, anything that seems reasonable or obvious when talking about larger objects is wrong.

Still, even in this case there is an area for all objects with mass. And objects with area and happen to be circular have a radius in their cross section.
 
  • #10
madphysics said:
Still, even in this case there is an area for all objects with mass. And objects with area and happen to be circular have a radius in their cross section.

reread his post. you cannot assume anything that you intuitively know to be true at this scale. so no not all objects with mass necessarily have an area
 
  • #11
madphysics said:
Still, even in this case there is an area for all objects with mass. And objects with area and happen to be circular have a radius in their cross section.

reread his post. you cannot assume anything that you intuitively know to be true at this scale. so no not all objects with mass necessarily have an area
 
  • #12
To quote one of the famous QM inventors (I can't rememebr which)
"The language developed by a 2m tall african ape to tell his friends where the ripe fruit is - is not necessarily ideal for understanding the properties of sub-atomic particles."
 
  • #13
madphysics said:
Still, even in this case there is an area for all objects with mass. And objects with area and happen to be circular have a radius in their cross section.

reread his post. you cannot assume anything that you intuitively know to be true at this scale. so no not all objects with mass necessarily have an area
 

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