B Understanding Time in a Moving Frame: Observer's Experiment with Egg Timers

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An observer on Earth conducts an experiment with four egg timers, each emitting different colored flashes of light as grains of sand fall through them. When the observer places two timers in a spaceship moving at a constant velocity, they find that the time between flashes from the moving timer is shorter than from the stationary ones. This leads to the conclusion that time in the moving frame (the spaceship) appears to pass faster than in the stationary frame (Earth). However, the discussion reveals that the perception of time is relative, depending on the observer's frame of reference, and corrections for light travel time must be considered. Ultimately, the experiment illustrates the complexities of time dilation and the relativity of simultaneity in different frames.
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  • #32
Ross Arden said:
the answer is very simple will the observer observe
ET1 < ET3
ET1 < ET4
ET4 = ET3
ET2 > ET4

yes/no
The answer is simple but the question isn’t well enough specified to get any answer. You have tons of unnecessary details (mechanism of clocks, colors of lights etc) and you omit some necessary details. For example: what are these ET numbers supposed to represent? Are they the times between the corresponding flashes being received according to an Earth observer or a rocket observer, or are they the times between the flashes being emitted according to an Earth observer or a rocket observer, or something else?

The reason you are not getting a straightforward answer is because your question does not allow a straightforward answer. Relativity does not depend on the clock mechanism, so don’t specify it, just use a generic “accurate clock”. Any experiment depends on exactly what is measured, so specify what ET1 is. There is a difference between coordinate and proper times, so if possible specify that as well or ask for help determining it. In relativity many quantities are frame variant, so specify which reference frame they are determined in.
 
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  • #33
Ross Arden said:
I would like a second opinion. Do others agree with this ?

One the things you'll notice is that people will correct each others' errors on this forum. If someone disagrees with an answer you receive, you will see that disagreement right away and it will get corrected.
 
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  • #34
A lack of disagreement could have other causes. In this case some people (e.g. me) don’t feel that the problem is well enough specified to even have a clear answer. The question is not well enough specified for me to either agree or disagree with @Nugatory (although on good questions we usually agree historically)
 
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