Time Dilation Observed in Relative Frames: A Simple Question

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SUMMARY

The discussion centers on the concept of time dilation in special relativity, specifically addressing the apparent contradiction where two observers in relative motion perceive each other's clocks as running slow. It is established that this phenomenon is resolved through the principle of relativity of simultaneity. The twin paradox is referenced, highlighting that the asymmetry caused by acceleration leads to a definitive conclusion that the accelerated twin experiences time differently than the inertial twin. For further clarification, users are directed to additional resources and threads that elaborate on these concepts.

PREREQUISITES
  • Understanding of special relativity principles
  • Familiarity with the concept of time dilation
  • Knowledge of the relativity of simultaneity
  • Basic comprehension of the twin paradox scenario
NEXT STEPS
  • Study the relativity of simultaneity in detail
  • Explore the twin paradox through the FAQ at http://math.ucr.edu/home/baez/physics/Relativity/SR/TwinParadox/twin_paradox.html
  • Review additional threads on time dilation in physics forums
  • Learn about the implications of acceleration in relativistic contexts
USEFUL FOR

Students of physics, educators explaining special relativity, and anyone interested in understanding the nuances of time dilation and the twin paradox in relative motion scenarios.

rajeshmarndi
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There are only two frame moving relative with each other at certain velocity. One frame see the other going right and the other to the left.

Isn't it contradict that each see the other time running slow and both are correct?

And this isn't the case , where one twin leave Earth and each see each other leaving. In this one experience acceleration and rest other details explanation is existed.

Its a simple question, but I'm unable to answer.
 
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rajeshmarndi said:
There are only two frame moving relative with each other at certain velocity. One frame see the other going right and the other to the left.

Isn't it contradict that each see the other time running slow and both are correct?
There is no contradiction, as long as you also allow for the relativity of simultaneity. There are a number of other threads in this forum explaining how this works. For example www.physicsforums.com/showthread.php?t=729941 and https://www.physicsforums.com/showpost.php?p=4556116&postcount=16

And this isn't the case , where one twin leave Earth and each see each other leaving. In this one experience acceleration and rest other details explanation is existed.
In this case the situation is not symmetrical because one twin experiences acceleration and the other doesn't. Because the situation is not symmetrical, there's no reason to expect them both to believe that the other's clock is running slow, and indeed they will both agree that the accelerated twin is the slow one. You should carefully study the FAQ at http://math.ucr.edu/home/baez/physics/Relativity/SR/TwinParadox/twin_paradox.html, come back if after reading that you still have quations.
 

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