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

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SUMMARY

The discussion centers on an observer conducting an experiment with four egg timers (ET1 to ET4) to analyze time perception in different frames of reference. ET1 emits green light, ET2 blue light, ET3 red light, and ET4 yellow light. The observer concludes that time in the moving frame (ET1) transpires faster than in the stationary frames (ET2-ET4) when the spaceship reaches a steady velocity of 100 km/hr. The results are reproducible, demonstrating the relativity of simultaneity and time dilation effects as described by Lorentz transformations.

PREREQUISITES
  • Understanding of time dilation and the relativity of simultaneity
  • Familiarity with Lorentz transformations
  • Basic knowledge of light travel time and its implications in physics
  • Concept of frames of reference in physics
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  • Study Lorentz transformations in detail to understand time dilation
  • Explore the concept of simultaneity in special relativity
  • Analyze simpler scenarios of relative motion to grasp time perception differences
  • Investigate the implications of light travel time on observational results in relativity
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Students of physics, educators explaining relativity concepts, and anyone interested in the implications of time perception in different frames of reference.

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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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