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Old 11-27-2008   #1 (permalink)
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arkain101
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Special Relativity Paradox

I believe this is an accurate expression of a paradox based on a specific conception of time. That is, "Time: Something a clock measures".

Scenario:
Three reference frames:

a)We have a person on earth with a digital clock (Person "E" / Clock "E")

b)We have a person in space orbiting earth 1000km away at a very high velocity. (Person "S" / Clock "S")

c)We have a star "The sun" (to actual scales)




Because of the simplicity of this paradox we can fast forward to some hypothetical results.

At the beginning of the experiment, Clock E and S are synchronized.

Then one year later:

When clock E strikes 12:00pm Person E observes clock S is 5 minutes behind and reads 11:55am.

Also,

When clock S strikes 12:00pm person S observes clock E is 5 minutes ahead and reads 12:05pm.


If this is true, then Person E has experienced 5 minutes more of "time" than person S.

This should suggest that when person E and S observe the sun they observe the sun over a 5minute time difference. This would suggest that the sun is now existing in two different realms of "time"; A realm of time for person S and a realm of time for person E.

This is the paradox. The sun does not and is not existing in two different realms of time. Especially understandable if person S returns to earth and shakes the hand of person E and they both observe the sun with their clocks differing by 5 minutes.

Again this is a paradox if we accept that (the digital) clocks measure time.



If we perform this thought experiment again, only, we do not use digital clocks, we use atomic clocks and get the same results, I believe we could conclude the following.

Time is not only something that a clock measures, but also strictly and independently an intimate part of electromagnetism.

Either way. Is this paradox correct, and if so, is it solvable?

Last edited by arkain101; 11-27-2008 at 06:03 PM..
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