Is Time-Reversal Symmetry Valid in Curved Spacetime?

  • Context: Graduate 
  • Thread starter Thread starter birulami
  • Start date Start date
  • Tags Tags
    Light Path
Click For Summary

Discussion Overview

The discussion centers around the validity of time-reversal symmetry in the context of curved spacetime, particularly within the framework of general relativity. Participants explore whether the path of light remains reversible when influenced by gravitational fields and spacetime curvature, considering both theoretical implications and practical observations.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant asserts that light paths are reversible in flat spacetime and questions if this holds in curved spacetime due to mass effects.
  • Another participant expands on the initial claim, suggesting that light from a source at one position can be traced back from another position, maintaining reversibility in general relativity, as the universe is isotropic for light.
  • A different viewpoint is introduced, noting that if spacetime curvature changes over time, the return path of light may not be the same, raising questions about the conditions under which reversibility holds.
  • Another participant emphasizes that the answer to the original question hinges on whether the spacetime is static and the observer is also static, citing the Sagnac effect as a significant factor in non-reversibility in practical scenarios.

Areas of Agreement / Disagreement

Participants express differing views on the implications of curvature and time-dependence on light path reversibility. There is no consensus on the conditions under which time-reversal symmetry is valid in curved spacetime.

Contextual Notes

The discussion highlights the complexity of the relationship between light paths and spacetime curvature, with limitations in assumptions about static versus non-static conditions and the effects of rotation on experimental setups.

birulami
Messages
153
Reaction score
0
Hi,

in high school I think we all learned that "the path of light is invertible (reversible?)". My interpretation would be that if a ray of light hits a flat mirror at [tex]90^{o}[/tex], it will trace its path exactly back.

Question: does this still hold in the general theory of relativity when space is bent by masses?

Harald.
 
Last edited:
Physics news on Phys.org
That's a rather restricted "interpretation". More generally, if a light beam from a given source, at position A, strikes a wall, at position B, then a light source at position B
will produce a beam that passes through position A. That light beam may strike any number of mirrors at any angles between A and B and a light source at position B will still produce a light beam that will pass through position A.

Yes, that is still true in general relativity- as far as light is concerned, the universe is isotropic.
 
HallsofIvy said:
Yes, that is still true in general relativity.
Why would that be true?

If the curvature changes in time, e.g. if we have a non stationary spacetime, the return path of the light signal after it bounces of the mirror may no longer be the same. No?
 
I think the OP's question was about time-reversal symmetry, not isotropy. The answer to the question actually depends on whether the spacetime is static and the observer is static. If the experiment is done on Earth, then the spacetime is static to quite a good approximation, but the lab frame is not static because it's rotating with the Earth, and we can tell this because the Sagnac effect doesn't vanish. The biggest relativistic non-reversibility effect you will see is precisely the Sagnac effect.
 

Similar threads

  • · Replies 27 ·
Replies
27
Views
8K
  • · Replies 230 ·
8
Replies
230
Views
22K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 0 ·
Replies
0
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 62 ·
3
Replies
62
Views
12K