Is the Center of a Black Hole a Point in Time or Space?

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Discussion Overview

The discussion revolves around the concept of whether the center of a black hole can be considered a point in time rather than a location in space. Participants explore theoretical implications, coordinate transformations, and the nature of singularities within black holes.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants question the idea that the center of a black hole is a point in time, seeking clarification on how this aligns with the physical reality of black holes.
  • One participant suggests that the singularity represents a future point for objects falling into the black hole, implying a temporal aspect to the singularity.
  • Another participant notes that within the event horizon of a Schwarzschild black hole, the roles of the Schwarzschild coordinates switch, with the radial coordinate becoming timelike and the time coordinate becoming spacelike.
  • A different perspective introduces the concept of spacetime diagrams, explaining how the singularity at r = 0 can be represented as a spacelike hyperbola or a jagged horizontal line, suggesting a relationship to an "instant in time."
  • Another participant mentions that near a black hole, the nature of spacetime coordinates reverses, indicating a potential connection to the idea of time and space interchanging roles.

Areas of Agreement / Disagreement

Participants express uncertainty about the original claim regarding the center of a black hole being a point in time. Multiple competing views are presented, and the discussion remains unresolved regarding the interpretation of singularities and the nature of spacetime within black holes.

Contextual Notes

Participants highlight the complexity of the Schwarzschild coordinates and the implications of singularities, indicating that the discussion is limited by the nuances of general relativity and the definitions of spacetime coordinates.

cangus
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Has anyone ever heard that the center of a black hole is a point in time rather than a place in space? If so, can someone please explain this to me? A Black hole in in physical reality (space) right? So, how is the center a point in time?
 
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cangus said:
Has anyone ever heard that the center of a black hole is a point in time rather than a place in space? If so, can someone please explain this to me? A Black hole in in physical reality (space) right? So, how is the center a point in time?
Sorry. Never heard that.

Pete
 
The singuliarity is the future for the people droped into the BH, but not another 3-space point with equal time. I think in this sense we say so.

regards
wangyi
 
cangus said:
Has anyone ever heard that the center of a black hole is a point in time rather than a place in space? If so, can someone please explain this to me? A Black hole in in physical reality (space) right? So, how is the center a point in time?

I haven't heard anyone say that either, and it doesn't make a lot of sene to me.

However, it is true that the Schwarzschild "R" coordinate (the radius) becomes timelike inside the event horizon of a Schwarzschild black hole - while the Schwarzschild 't' coordinate becomes spacelike. Possibly this is what someone was trying to say (not very well) with your original quote.

Note that in spite of the switch of the roles of the Schwarzschild r & t coordinates, there are still three space and one time coordinates inside a black hole, just as there are three space and one time coordiante outside a black hole.
 
cangus said:
Has anyone ever heard that the center of a black hole is a point in time rather than a place in space? If so, can someone please explain this to me? A Black hole in in physical reality (space) right? So, how is the center a point in time?

Forget relativity for a moment, and think about the x-y-z coordinates for the physical 3-dimensional space. Fix z = 3 and let let x and y roam over all possible values. This corresponds to a 2-dimensional plane in space - the z = 3 slice.

Now move to the spacetime of special relativity, and consider an inertial reference frame. Set t = 3 and let x, y, and z roam over all possible values. A 3-dimension spacelike hyperplane results that represents, for the chosen reference frame, the single instant in time t = 0. On a standard spacetime diagram, this is represented as a horizontal line because the x and z spatial dimensions are suppressed.

Finally, consider Schwarzschild coordinates for the spacetime of an 'eternal" black hole. As pervect has already noted, inside the event horizon r is a timelike coordinate. A singularity "occurs" at the "centre" r = 0. Since r is a timelike coordinate, the singularity is spacelike. With 2 dimensions supressed, the (future branch of the) singularity r = 0 is represented on: a Kruskal-Szekeres diagram by a spacelike hyperbola; a Penrose diagram by a jagged horizontal line. Very roughly, these lines (actually hypersurfaces) correspond to the "instant in time" r = 0.

OF course, because of of its singular nature, r = 0 is not actually allowed as part of the spacetime manifold.

Regards,
George
 
cangus said:
Has anyone ever heard that the center of a black hole is a point in time rather than a place in space? If so, can someone please explain this to me? A Black hole in in physical reality (space) right? So, how is the center a point in time?


Havent heard of something like that but I guess I will like to tell you that near a black hole , space-time coordinates reverse themselves.Like you cannot avoid next thursday in spacetime real universe , near a black hole, you cannot avoid hitting singularity, that is r-----> 0.

Maybe your ststement, though unheard of , might have have to do something with interchange of space-time coordinates , that is the job of 'time always moving forward' is exchanged by 'r--->0'

.BJ.
 

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