## Time Contraction in Lorentz Transforms?

The question I have is to do with the Relativity of Simultaneity of the type described by Einsten; whereby two light emitters are placed pulsing once every millisecond on board a spaceship traveling at the speed of light. One of these lights faces forward and the other faces aft. If time dilates in order for the laws of physics to remain the same in all reference frames, shouldn't time in the aft part of the ship contract to deal with the fact that the light has arrived at the rear of the ship faster than intended (so to speak)?

Also if the space ship has undergone a length contraction, while the angle of the light remains constant in space-time, shouldn't the the light ray - that makes contact with the rear wall of the ship early - continue to move in time to account for the disparagement in the spatial dimension, resulting in it appearing to be frozen to the wall?

If you draw this out you will notice that the light will remain on the rear wall until the forward light reaches its destination, reinstating simultaneity, if only for a brief and, admittedly, lopsided time. Your thoughts on this?

Mentor
Blog Entries: 1
 Quote by cynopolis The question I have is to do with the Relativity of Simultaneity of the type described by Einsten; whereby two light emitters are placed pulsing once every millisecond on board a spaceship traveling at the speed of light. One of these lights faces forward and the other faces aft. If time dilates in order for the laws of physics to remain the same in all reference frames, shouldn't time in the aft part of the ship contract to deal with the fact that the light has arrived at the rear of the ship faster than intended (so to speak)?
No. Clocks anywhere in the moving ship will be seen as running slow by the same factor.

 Also if the space ship has undergone a length contraction, while the angle of the light remains constant in space-time, shouldn't the the light ray - that makes contact with the rear wall of the ship early - continue to move in time to account for the disparagement in the spatial dimension, resulting in it appearing to be frozen to the wall?
No.

 If you draw this out you will notice that the light will remain on the rear wall until the forward light reaches its destination, reinstating simultaneity, if only for a brief and, admittedly, lopsided time. Your thoughts on this?
Not sure what you are talking about.