Trying to clear up some confusion (clock synchronization)

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SUMMARY

This discussion centers on the complexities of clock synchronization and time dilation in the context of special relativity, specifically using a thought experiment involving a rotating space station and a rocket ship traveling at 0.6c. The participants clarify that while the space station measures a time difference of 2 seconds between two events, the rocket ship measures only 1.6 seconds due to time dilation effects. They emphasize that the clocks on the rocket ship and the space station are not synchronized from the perspective of the rocket, leading to different elapsed times. The conversation also touches on the implications of simultaneity and the one-way speed of light in different reference frames.

PREREQUISITES
  • Understanding of special relativity principles, including time dilation and simultaneity.
  • Familiarity with the concept of inertial reference frames.
  • Knowledge of the speed of light as a constant (300,000 km/s).
  • Basic grasp of spacetime diagrams and their interpretation.
NEXT STEPS
  • Study the implications of time dilation in special relativity using Lorentz transformations.
  • Learn about the concept of simultaneity in different inertial frames and its effects on measurements.
  • Explore the role of spacelike and timelike intervals in determining event relationships in spacetime.
  • Investigate the experimental evidence supporting the constancy of the speed of light in all directions.
USEFUL FOR

This discussion is beneficial for physicists, students of relativity, and anyone interested in the foundational concepts of time, space, and their interrelation in the framework of special relativity.

  • #31
Look. It is a good assumption, and it is silly to make any other assumption. But simply because an assumption is a good one doesn't make it not an assumption.

Here are the invariant facts:
A light pulse is emitted from side A when the pointer reaches side A
A light pulse is emitted from side B when the pointer reaches side B
Both light pulse are received at the same time in the middle

Those three facts are compatible with many explanations, not all of which include light going at C.
 
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  • #32
PeterDonis said:
You're arguing in a circle. If you want to prove that the pulses are sent simultaneously, you can't assume that they are sent simultaneously.

PAllen said:
In your case, an example of how tricky this is, is you say something like: I have pointer at rest, that is measured straight, and tips are equal distance from the pivot. I apply torque to the center. Without assuming isotropy, you cannot assume that the torque, leading to motion, propagates at the same speed towards booth pointer ends. It could be that motion reaches one tip earlier. You may say that you can detect this, but by anisotropic effects on how you propose to determine this, you can't. You have to come up with an experiment which cannot be reconciled with any conceivable anisotropic model. As I noted, that has actually been proven impossible, in that there is a known family of anisotropic models that are experimentally indistinguishable from standard SR.

DaleSpam said:
Here are the invariant facts:
A light pulse is emitted from side A when the pointer reaches side A
A light pulse is emitted from side B when the pointer reaches side B
Both light pulse are received at the same time in the middle

Those three facts are compatible with many explanations, not all of which include light going at C.

Right, I think I understand this now. Basically what it boils down to is that any test of simultaneity between two events, involves sending signals to verify the events were simultaneous is some frame of reference. (Or signals to synchronise clocks etc.) And any signals sent from the events are sent in just one direction, in which case there is no way to test for isotropy, as that would also involve sending more signals.

I'm not sure I have worded that very well, but it seems to make sense.

The only thing I would say is that taking my thought experiment as an example, there is a limit as to how far out any delay in the ends triggering the light sources simultaneously can be. I can test this statistically and find the process variation using a number of different set ups. (e.g. different materials, different lengths, alternating the pointer orientations etc. ) It wouldn't tell me exactly of course, but I should be able to agree a certain limit within a certain confidence interval.

Anyway, thanks again to everyone for their time, as always it is very much appreciated.
 

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