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Time dilation?
This is similar to a question I posted previously; but hopefully this version is stated more clearly. I know the answer, but the best response deserves 10 pts. anyway.
Two spaceships pass each other at a relative speed of 1/2 c. At the moment they cross paths, they each synchronize their on-board clocks to read "12:00 PM."
The captain of Ship "A" knows that when his own clock reads "1:00", it's only 12:52 on Ship "B", due to time dilation. He can prove this by sending a signal to Ship "B" asking what time it is (and then accounting for the time it takes for the signal to return).
But the captain of Ship "B" knows that when his own clock reads "12:52", it's only 12:45 on Ship "A", due to time dilation. He can prove this by sending a signal of his own.
So here's the question: When it's 12:52 on Ship "B", what time is it on Ship "A"?
6 Answers
- SANLv 51 decade agoFavorite Answer
Your question implies there is a universal time, such that at a specific instant on ship B, there is a corresponding specific instant on ship A. No. There is no universal clock ticking away corresponding instants throughout space. All information gets communicated by light signals, so standing back and saying there is a specific instant you can apply to both ships is incorrect. You can only ask what conditions are when a ship sends or receives a light signal. Note that an observer "standing still" between both ships would always swear the clocks read the same from simple symmetry.
I think..
- whitakerLv 45 years ago
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- Anonymous1 decade ago
"1:00 PM"
Since the dilation of Ship "A" relative to B is 8 minutes, and the dilation of Ship "B" relative to A is 7 minutes, then that means that Ship "A" is actually moving faster, because of the greater dilation. Therefore, since Ship "A" has the true dilation, then it's true time at "12:52" is "1:00."
...i think
- Anonymous1 decade ago
You have already answered the question. If the observer is on ship B, then acordding to the q it is 12:45 on ship A.
If the observer is on ship A, then the time is 1:00.
The time on ship a could take a whole range of values depending on what frame of reference your in.
Time isn't absolute.
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- goringLv 65 years ago
Clock measure time the same way in same gravity field.
Time always indicates how fast an event took place.Hence time indicates the past.It would take a longer time for a distant observer to observe the process;nevertheless all clocks will measure the same time and does not care where one observer is or how fast its motion.
