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In a special theory of relativity we have a phenomenon known as time dilation. There is a simple explanation of this, with a thought experiment with a train and a flash light:

We flash a light in a moving train and it hits the top of the train and comes back again. What is the time needed for a light beam to do this in a moving train frame and in a still frame glued to the tracks?

In short, seen from a frame of a moving train there is no problem, because light simply moves straight up and deflects from the top of the train and then comes back again and is detected.

My question is this: If a train moves a bit, should not light hit the top a bit behind the spot directly ortogonal to the flash light on the floor? But then again, what is the fundamental difference between the moving train and one that is still? None! So light could not care less about this. And it will do exactly the same, hit the top directly orthogonal to the floor. But it is not from the same argument that you would use if we were talking about a bullet instead, right? Light is not a bullet, it is not safely placed inside of a barrel of a gun so it does not get the extra velocity component.

The only argument left is that it simply has to do it that way because there is no fundamental difference if the train moves with the constant velocity or just stands still. And now of course, as seen from a track-frame, emission and detection happen in two different places, so we have to assume that light traveled diagonally, moving on a triangle. This took it a bit longer because of a distance as seen from the track.

Could you please, if you understood this reasoning, tell me, is it correct and, if needed, give some insight?

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  • $\begingroup$ tnx :-) man.... $\endgroup$ – Žarko Tomičić Dec 28 '14 at 15:45
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    $\begingroup$ Your reasoning seems fine, but note that this type of reasoning should be regarded as providing evidence that time dilation must exist, but not an explanation of it. For a more thorough explanation see The real meaning of time dilation or search this site for similar questions. $\endgroup$ – John Rennie Dec 29 '14 at 7:32
  • $\begingroup$ Well, in many text books you only have mathematical derivations of Lorentz transformations. In my book, that is good enough explanation. Or? $\endgroup$ – Žarko Tomičić Dec 29 '14 at 7:59
  • $\begingroup$ The only really satisfactory explanation is to derive the time dilation from the invariance of the line interval. You will never achieve an intuitive understanding unless you appreciate that all the weird effects in SR stem from this symmetry principle. $\endgroup$ – John Rennie Dec 29 '14 at 8:11
  • $\begingroup$ cool...one thing...if you put yourself in one reference frame which is still and your friend in other, which is moving, and and then emit spherical wave in exact moment when your friend passes through, you should both see a spherical wave, regardless of his movement. But now everything else needs to be adjusted to this fact. What about this? So you have equation for a sphere in both coordinate systems :-) $\endgroup$ – Žarko Tomičić Dec 29 '14 at 8:33
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The way I think about this effect is as follows;

Suppose you are in a moving train (with respect to the ground) an have a laser in your hand. If you shine the laser towards the mirror then the light will hit the mirror and reflect backwards. This is because of law of reflection. If there is a person watching this from the ground he will see a similar thing the light is going to hit the mirror and reflect back. We justify the last conclusion by saying that all laws of physics are the same in all inertial frames of reference. This is true regardless of whether you were reflecting bullets or light. You can prove the fact that physical laws are invariant in inertial frames of reference, it is a postulate, which was shown to hold in all the cases we now of. However you can probably imagine the chaos that would exist if the laws depended on the frame of reference.

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  • $\begingroup$ of course, i had the same reasoning $\endgroup$ – Žarko Tomičić Dec 28 '14 at 22:50
  • $\begingroup$ Doesn't that postulate imply c=constant? $\endgroup$ – user56903 Feb 5 '15 at 9:19
  • $\begingroup$ The person on the platform will also see the orientation of the laser or flashlight as pointing straight up, but the light will come out of the flashlight at an angle? $\endgroup$ – Peter R Mar 8 '16 at 19:44

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