Physics Asked by Siddhant Sharma on December 4, 2020
If there are 2 observers in water moving relative to each other as well as to water, they measure different speeds of light. So does time dilation occur for them? (since Time dilation is based on constancy of speed of light)
Relativity just requires "constant speed of light in vacuum". It makes no claims about the speed of light in a medium.
When you are moving relative to water, you will observe a different speed of light depending on your relative velocity. But you will still have all the other effects of relativity at work - such as time dilation.
Answered by Floris on December 4, 2020
The opening statement "If there are 2 observers in water moving relative to each other as well as to water, they measure different speeds of light" is false. Both observers will measure the same speed for light, and therefore, relativistic effects will occur.
Unlike sound, light does not require a medium through which to travel, so the speed of the medium (in this case water) is irrelevant.
Search the web for "submarine paradox" for proof.
Answered by Elias on December 4, 2020
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