What is the motion of a singularity

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Discussion Overview

The discussion centers on the nature of singularities, particularly in the context of black holes, and how to describe their motion or evolution in space-time. Participants explore theoretical implications, definitions, and the characteristics of singularities across different dimensions.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions how to describe the motion of a singularity if all four dimensions are considered to be zero.
  • Another participant argues that black hole singularities absorb gravity fields and move according to Newtonian theory, with potential relativistic corrections, suggesting that the singularity moves along with the event horizon.
  • Some participants express skepticism about the traditional view of singularities as points or having infinite density, indicating that there are ongoing discussions and revisions in the literature that challenge this notion.
  • It is noted that singularities may not be truly singular, as they can be characterized by their mass at the event horizon, which is observable from the outside world.
  • One participant clarifies that singularities can have extent in one or more dimensions, and provides examples of different types of singularities, including those with one-dimensional extent in the case of Schwarzschild black holes.
  • Another participant suggests that the original question may involve a misunderstanding related to time dilation and mixed frame references.

Areas of Agreement / Disagreement

Participants express differing views on the nature of singularities, with some challenging the traditional definitions and others defending them. There is no consensus on how to characterize singularities or their motion in space-time.

Contextual Notes

Participants reference various theories and papers that may not be universally accepted, indicating a lack of resolution regarding the definitions and properties of singularities.

Terry Giblin
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If all 4 dimensions of a singularity are zero.

How do you describe the motion or evolution of a singularity, in space-time?

For example the motion of a singularity, ie black hole at the centre of every Galaxy and Quasar as it evolves through space-time, if all it's 4 Dimensions are zero?

Regards

Terry Giblin
 
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Black hole singularities may not radiate gravity, but they certainly absorb gravity fields. The mass of the black hole, which resides largely in its singularity, moves in accordance to Newtonian theory, taking all outside sources of gravity into consideration, at least to second order. There may be relativistic corrections and mass inflation; but most of that information is trapped in the black hole. All the interaction with the outside world, except for absorption, happens at the event horizon. So gravity fields actually move the event horizon in space, and the singularity goes along for the ride.
 
yanniru said:
Black hole singularities may not radiate gravity, but they certainly absorb gravity fields. The mass of the black hole, which resides largely in its singularity, moves in accordance to Newtonian theory, taking all outside sources of gravity into consideration, at least to second order. There may be relativistic corrections and mass inflation; but most of that information is trapped in the black hole. All the interaction with the outside world, except for absorption, happens at the event horizon. So gravity fields actually move the event horizon in space, and the singularity goes along for the ride.
All of this only has to be considered if we still believe that a "singularity", as defined many years ago, is either a point, or Kerr ring with a depth of zero. I don't know if it is being discussed much here on PF, but there are now TONS (a lot) of papers/theories/revisions seeming to kick the "infinite density" singularity out on its butt. I don't remember when, but I think that Marcus provided a bunch of links on this within the last few weeks. I'm too lazy to look it up, and I have to finish another telescope for delivery next week. Busy, busy, busy...
 
We all know that singularities are not really singular. It is just a convenient way to characterize a location in space. The outside world still "sees" the mass of the black hole at the event horizon.
 
We all know that singularities are not really singular.
Not really. About every day someone answers BH questions by explaining the "infinite density" of the singularity but finite mass of the BH. I'm not one of those, though.
 
Terry Giblin said:
If all 4 dimensions of a singularity are zero.

Terry they don't all have to be zero!

a singularity can have extent in one or more of the 4 dimensions.
there can be a surface of singularity, or a 3D hypersurface of singularity,
or a singularity can be along a line------it can have a worldline.

In the case of ordinary Schw. black hole, the singularity is one dimensional.
It has extent in only one dimension.

But Black Hole singularities are not the only kind of singularity, so there are plenty of other possibilities.

Where did you see it said that "all 4 dimensions of a singularity are zero"?

Maybe I am missing something, this is news to me.
 
I assumed terry was talking about time dilation. That, of course, is a mixed frame reference and does not apply.
 

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