Question about GR - movement in space-time

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Discussion Overview

The discussion centers on the nature of movement in space-time as described by General Relativity (GR). Participants explore whether physical objects can be said to move in space-time and the implications of different perspectives on this movement, including the concept of a block universe and the relationship between curved space-time and gravitational fields.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant questions whether anything physical can move in space-time, suggesting that such movement may contradict the definitions of space and time.
  • Another participant asserts that movement in space-time is unavoidable as time progresses, challenging the notion of self-referential movement.
  • A different viewpoint emphasizes the utility of space-time diagrams in understanding Special Relativity, stating that everything moves in space-time and that events are represented as points in this framework.
  • One participant introduces the idea that perspectives on space-time can vary, with some arguing for a 4D view where time is an integral part of the space-time diagram, while others maintain that from a 3D perspective, movement is observable.
  • There is a discussion about the abstract nature of space-time as a mathematical entity, with some participants suggesting that the concept of curved space-time may not differ fundamentally from the gravitational field.
  • One participant argues that curved space-time is a mathematical abstraction, while another insists on its physical reality, stating that experiments can demonstrate the existence of gravitational fields.

Areas of Agreement / Disagreement

Participants express differing views on the nature of movement in space-time, the interpretation of curved space-time versus gravitational fields, and the implications of different perspectives on time and motion. No consensus is reached on these topics.

Contextual Notes

Participants highlight the importance of definitions and perspectives in discussing space-time, indicating that the discussion may be limited by varying interpretations and assumptions about the nature of time and movement.

X-43D
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Is it true that nothing physical can move in space-time?

As a layman in GR i really wondered whether anything physical can move in space-time because movement in space-time is self-referential and will contradict the basic definition of space and time.

Also check out this http://users.adelphia.net/~lilavois/Crackpots/physicists.htm.
 
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Where did you get the idea that moving in space_time is "self-referential". In fact, since time goes on, no matter what we do, we can't help moving in space-time!
 
Yes,space-time digrams are the most intuitive way to approach Special Relativity.What Halls said can be explained through a simple space-time driagram.

So yes,everything "moves in spacetime".Points in space-time are called events.


Daniel.
 
Hi X-43D, it is a matter of perspective.

SR encourages us to have a truly 4D perspective of space-time. As time itself is 'within' a space-time diagram, and our experience of movement requires a 'passing of time', then as that link of yours quotes 'nothing moves in space-time'. It is a 'block universe'.

However that is only an artefact of the diagram and its 4D perspective. As we are conscious beings we observe the universe from our own 3D+1 perspective and slice space-time into our own perception of space and time.

Different observers slice up space-time (foliate it) in different ways, so, for example, the plane of simultaneity is frame dependent. From our perspective, or that of any other observer, time does 'pass' and there is movement.

It is important not to confuse the two perspectives in describing the times and positions of different events in the universe. You just have to do it consistently.

Garth
 
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It dpend swhat ypou mean, you can't move through spacetime in the same way as you move through spacetime. You can look at objects in spacetime in such a way where to tlak about movemnt makes little sense (thisd is IMHO the best way as you look as your just using your intution from 3-D geometry in 3+1 dimensonal spaces) or you cna look at it in a way where there is soemthing analogus to movemnt (though all this 'movement' really represnts is the moevmnt of objects through space and time in diffeernt refenrce frames rather than through spacetime).
 
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Hall said:
Where did you get the idea that moving in space_time is "self-referential". In fact, since time goes on, no matter what we do, we can't help moving in space-time!

Ok but it's correct to say that space-time is an abstract mathematical entity. Also since the t-coordinate is invariant (time itself does not change), time travel through wormholes is physically impossible.

Garth said:
Hi X-43D, it is a matter of perspective.

SR encourages us to have a truly 4D perspective of space-time. As time itself is 'within' a space-time diagram, and our experience of movement requires a 'passing of time', then as that link of yours quotes 'nothing moves in space-time'. It is a 'block universe'.

Hi Garth,

So according to my understanding it depends on the definition. I couldn't find any mathematical difference between the thing that we call 'curved space-time' and the other thing that we call the gravitational field. Therefore it's not really space-time which is curved, it's the gravitational field under the influence of masses.

However that is only an artefact of the diagram and its 4D perspective. As we are conscious beings we observe the universe from our own 3D+1 perspective and slice space-time into our own perception of space and time.

Different observers slice up space-time (foliate it) in different ways, so, for example, the plane of simultaneity is frame dependent. From our perspective, or that of any other observer, time does 'pass' and there is movement.

It is important not to confuse the two perspectives in describing the times and positions of different events in the universe. You just have to do it consistently.

Therefore i guess it's correct to say that time itself does not change because motion/change is observed but time is never observed, it's abstract. Therefore time dilation (sometimes a misnomer) and process slowdown are basically one and the same.
 
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X-43D said:
Hi Garth,

So according to my understanding it depends on the definition. I couldn't find any mathematical difference between the thing that we call 'curved space-time' and the other thing that we call the gravitational field. Therefore it's not really space-time which is curved, it's the gravitational field under the influence of masses.

Nope.Curved space-time is just a mathematical abstraction,just like any other Lorentzian manifold.We humans use it in physics just as any other math.tool.While a gravity field is something whose existence is physically provable.You can do experiments to prove the existence of the gravity field.Space-time is curved.Period.


Daniel.
 

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