High School Moving clock as seen by an observer at rest

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A moving clock appears to slow down for a stationary observer due to time dilation, which is influenced by the relativistic Doppler effect depending on the clock's direction of motion. When the clock moves towards the observer, it seems to tick faster, while it appears slower when moving away. However, once the observer corrects for light travel time, they conclude that the moving clock is indeed running slow compared to their own. This phenomenon is consistent across different frames of reference, as each observer perceives the other's clock as running slow. Ultimately, both observers will measure their own clocks accurately while perceiving the other's clock to be dilated.
  • #31
sweet springs said:
We should choose the frame where referred body is at rest and measure decay time in that frame. Thus observed value is "decay time".

More generally, it's called the proper time. It's the time that elapses between two events that occur at the same place. It's equal to the interval between the events, and is a relativistic invariant.
 
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  • #32
your simple act of distinguishing between "see" and "calculate" was immensely helpful and answered a question I had pondered for a long time. Thank you.
 
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