(adsbygoogle = window.adsbygoogle || []).push({}); @Ibix : The points A and B are the extremities of a vetical line into (R'), i.e into the moving reference frame. You can have an illustration on the following figure : Ibix said: ↑@fab13 - am I right in thinking that you are describing the following experiment?

There is a train moving along the y axis. There are two observers, A and B, standing by the track. As the train passes A it emits a light pulse that A receives at time ##t_A##, after the pulse has travelled a distance ##d_A##. As the train passes B it emits a light pulse that B receives at time ##t_B##, after the pulse has travelled a distance ##d_B##. You later define ##d_A=0## and seem to start using ##L## in place of ##d_B##.

In my experiment, I only consider the first path, not the round trip, i.e I consider the path before the top reflection of mirror.

By taking my calculation, I am near to get the common relation of time dilation :

##L^{2}=c^{2}\Delta t^{2}-v^{2}\Delta t^{2}##

but someting is wrong; currently I get from previous reply post :

##L^{2}= c^{2}\Delta t_{reception}^{2} - \dfrac{2 c^{2} \Delta t_{reception}\,d}{v}+\dfrac{c^{2}d^{2}}{v^{2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\textbf{eq(1)}##

I think I have to do, between my relation and the common one, the assimilation :

##\Delta t = \Delta t_{reception}##

into : ##L^{2}=c^{2}\Delta t_{reception}^{2}-v^{2}\Delta t_{reception}^{2}##

But I am not sure about this assimilation : it may be actually ##\Delta t =\Delta t_{reconstruction}## ?

I hope you will better understand my issue

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# I Demonstration of time dilation

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