Time Dilation: Clarifying the Concept for Pat

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SUMMARY

The discussion centers on the concept of time dilation as observed from two inertial frames, S and S'. In frame S', an observer measures the time for light to travel to a mirror and back as \Deltat'=2D/c. An observer in frame S perceives this event as taking longer, leading to the conclusion that time passes more slowly in S'. However, Eugene clarifies that this interpretation is a misrepresentation of the phenomenon, as all physical processes in S' appear slower to the observer in S, but this does not imply that time itself is running slower.

PREREQUISITES
  • Understanding of inertial frames in physics
  • Familiarity with the concept of light speed (c)
  • Basic knowledge of time dilation principles
  • Ability to interpret relativistic effects in physics
NEXT STEPS
  • Study Einstein's Theory of Special Relativity
  • Explore the Lorentz transformation equations
  • Investigate the implications of time dilation in GPS technology
  • Learn about the twin paradox and its relation to time dilation
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Students of physics, educators explaining relativity, and anyone interested in the implications of time dilation in real-world applications.

patapat
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I was reading about time dilation and say if we have an inertial S that moves with velocity v in the x-direction with respect to an inertial frame S'. In S' we shoot a light towards a mirror and measure the time from when the original flash takes place to when it returns to it's origin giving us [tex]\Delta[/tex]t'=2D/c. They said that since an observer in inertial frame S would measure these events to take longer than they do in S' that an observer in S can conclude that time passes more slowly in S'. Is this correct? When i think about it, if it took 7 seconds in S and 5 secs in S' then wouldn't time run "slow" in S since it took longer for the same event to take place than it did in S'? Clarification needed, thanks.

-Pat
 
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patapat said:
I was reading about time dilation and say if we have an inertial S that moves with velocity v in the x-direction with respect to an inertial frame S'. In S' we shoot a light towards a mirror and measure the time from when the original flash takes place to when it returns to it's origin giving us [tex]\Delta[/tex]t'=2D/c. They said that since an observer in inertial frame S would measure these events to take longer than they do in S' that an observer in S can conclude that time passes more slowly in S'. Is this correct? When i think about it, if it took 7 seconds in S and 5 secs in S' then wouldn't time run "slow" in S since it took longer for the same event to take place than it did in S'? Clarification needed, thanks.

-Pat

From the point of view of the observer S all physical processes in the laboratory S' proceed slower than identical processes in his own laboratory (S). So, observer S may think that "time runs slower" in the moving laboratory S'. I think, this is a bad abuse of language.

Eugene.
 

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