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We've had a very similar conversation before, by the way. https://www.physicsforums.com/threads/time-dilation-and-2-identical-clocks.932643/
The discussion revolves around an observer's experiment involving egg timers in a moving spaceship to explore the concept of time in different frames of reference. Participants examine how the timing of flashes emitted by the egg timers varies between a stationary observer on Earth and those in the moving frame of the spaceship. The scope includes theoretical implications of time dilation and the relativity of simultaneity.
Participants express multiple competing views regarding the timing of flashes and the implications of time dilation. The discussion remains unresolved, with differing interpretations of the experiment and its outcomes.
Some limitations include assumptions about the effects of gravity on the egg timers, the role of light travel time in observations, and the complexity of the experimental setup. The discussion also reflects varying interpretations of relativistic effects based on different frames of reference.
This discussion may be of interest to those exploring concepts of time dilation, relativity, and the behavior of systems in different inertial frames, particularly in the context of physics and engineering.
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?Ross Arden said:the answer is very simple will the observer observe
ET1 < ET3
ET1 < ET4
ET4 = ET3
ET2 > ET4
yes/no
Ross Arden said:I would like a second opinion. Do others agree with this ?