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Synchronized clocks with respect to rest frame 
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#19
Feb2712, 07:05 AM

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#20
Feb2712, 07:14 AM

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If we bring the two clocks together to O. Is it synchronized or not? 


#21
Feb2712, 07:34 AM

P: 98

Let me give you the correct answer to your question: if the train was at rest and it starts moving, AS FAR AS WE CAN TELL UNDER THE AXIOMS OF SR, the clocks might stand on their heads and sing the Alleluliah Chorus. We have two axioms to go on and both explicity restrict themselves to inertial observers. If you are asking about accelerating objects, then you are outside of the scope of the 1905 paper. Anybody who disagrees should show me which part of that paper can answer manam's question. Four lines won't suffice.
Furthermore, there's no point talking about the train standing in the station because then they would be the same reference frame and you wouldn't need the station. Next, clocks are not synchronised or asynchronised per se, rather, they are synchronised FROM THE POINT OF VIEW OF A PARTICULAR OBSERVER. I'd hazard a guess that if you did sync the clocks while the train was in the station, then accelerated it very gradually, then the clocks would continue to be synced from the point of view of the station, but anybody on the train would think they were getting further and further out of sync as the train accelerated. The reason for that is not about the clocks though  it's about changes to the point of view of the people on the train. But this is just a guess  I can't prove it because I don't have an axiom to go on unless I jump to GR. If you really want to understand this, read my previous post. 


#22
Feb2712, 08:17 AM

P: 215

Hello All,
I still don't have satisfactory answer. Please, give me answer with reason Thanks 


#23
Feb2712, 08:28 AM

P: 98

You have several satisfactory answers. Just not in the form you expected. But I think perhaps you already understood it in your own terms:
You are right that as the train accelerates, the people on the train see a bigger and bigger discrepancy between the two clocks. Meanwhile, the guy on the platform continues to think the clocks on the train are in sync. 


#24
Feb2712, 08:57 AM

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τ = t√(1v^{2}/c^{2}) This equation computes the instantaneous Proper Time (or tick rate) on a clock moving at speed v with respect to an inertial frame with Coordinate Time t. So we can take any acceleration profile and either calculate by ordinary symbolic integration or by numerical analysis what the time on an accelerated clock will be. 


#25
Feb2712, 01:04 PM

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#26
Feb2812, 03:20 AM

P: 215

Ok, I asked like this
when train is stayed, both clocks is synchronized for both observer. But, when train starts moving clocks is very slightly asynchronous with respect to R. But, clocks is out of sync with respect to O, because of direction of motion. So, I am just trying to understand is if train will stop the clocks becomes again synchronous for both observer? If clocks brought near to O slowly, can O see decreasing difference of clock reading? 


#27
Feb2812, 05:42 AM

P: 3,187

 R can compare the clocks with its own reference clocks. For R the clocks will both be slightly behind.  O has no own valid reference clocks to compare the clocks with; however, according to O the clocks are again in synch with each other (exactly or very nearly so). Again: according to O, both clocks move exactly the same. How could one be affected differently from the other? I give up. Perhaps someone else wants to try? Good luck! 


#28
Feb2812, 06:00 AM

P: 215

Anyway, thanks for your replies and passion. 


#29
Feb2812, 06:50 AM

P: 249

I thought one of the postulates of SR is that on object in constant motion can't distingiush between that and being at rest. It would seem like that if A and B could be measured to not be in sync with O from O, then O could then conclude that it was in fact in motion. So then, only R could conclude that the clocks where not in sync but O would conclude that they are. This would be because O would measure the speed of light to be the same forwards and backwards through the train since it assumes it is at rest, and R concludes that the light traveling to the back of the train from O reaches first, since it observes the speed of light to be the same in both directions, but the velocity of the train itselfs shortens the distance it has to travel. But, does this actually puts the clocks out of sync from the frame of reference of R? All three clocks would have been seen from the frame of reference of R to all have gone the same speed that should calculate into them expereincing the same amount of time dialation. All it would meen is that a signal seen from R from O would hit A and B at different times. It would seem like each side of an object shouldn't experience different amounts of time dialation. I think it only means that a signal form O seen from R would reach A and B at two different times, but the clocks themselves would be in sync if you could check using some sort of action at a distance.



#30
Feb2812, 07:05 AM

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http://math.ucr.edu/home/baez/physic...eleration.html However, although neither postulate explicitly mentions noninertial reference frames, from an inertial reference frame it is simply a mathematical transform to obtain the physics of a noninertial reference frame. Thus, SR can deal with noninertial reference frames as well. The two postulates do not apply directly, but the physics can nevertheless be derived from the postulates in a mathematically rigorous way. The sufficiency of the treatment has nothing to do with the length. If a correct result is derived or explained in a few words, then that is a credit to the treatment, not a detraction. In this case, Einstein succinctly and clearly extended the time dilation of an inertial clock to the case of an accelerating clock. It is clearly part of the 1905 paper, and trying to pretend otherwise really weakens your credibility. The Pound Rebka experiment is a classic example of this. You can analyze the Pound Rebka experiment as an experiment on an accelerating rocket far from gravity using SR. You then know immediately the result you expect in the stationary lab under gravity using GR. 


#31
Feb2812, 08:04 AM

P: 215

This is what exactly I want to describe. Somehow I could not explain myself. One way speed of light is same for all, then clocks is synchronized with respect to O. And if R can see the clocks by sending light pulse. R can also conclude that the both clock is synchronized with each other, but the clocks is behind of his own clock due to time dilation. 


#32
Feb2812, 08:44 AM

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#33
Feb2812, 09:17 AM

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I'm learning about "debate logic", AdrianMay you should do the same. The comment "Four lines. Hardly a sufficient treatment." I'd class as nonsequitor (lines of text has nothing to do with suffucient treatment") &/or it begs the question. I'm not too sure just learning still. 


#34
Feb2812, 10:00 AM

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Thanks nitsuj. I like this site for learning about logical fallacies:
http://www.fallacyfiles.org/ I agree with your classification as a nonsequitor. The fallacyfiles site calls it the "red herring" fallacy. I wouldn't classify it as begging the question because begging the question means that the conclusion (Einstein's treatment is insufficient) is contained in the premises (Einstein's treatment is 4 lines long) or that the argument assumes some point not conceded by the other side (I concede the length of the treatment). In this case, the conclusion is not contained in the premise and the premise is not controversial in the discussion, it is simply that the premise (length) is completely irrelevant to the conclusion (sufficiency). 


#35
Feb2912, 01:40 PM

P: 249

The trains acceleration, unlike Earths gravitational pull, would act equally on the whole train if it was rigid. 


#36
Feb2912, 09:18 PM

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