Does time dilate in sationary light clock?
Although it seems a pulse back and forth in between the mirrors separated by a distance L but in
reality the same pulse covered a greater distance than L in its progression of time and therewithal traces out a path equal to the apothem of light cone.
Please click on the animation “A race: There and Back two runners and a time-keeper, a meterstick”in the following link.
If this doesn’t work then click on the following link
Scroll down and then click on EVENTS and SPACETIME of PRIMEVAL RELATIVITY. Scroll down and then start playing animation of “A race: There and Back two runners and a time-keeper, a meterstick”
Let’s the two runners run in between two points A and B separated by distance L. Although they covered a distance of 2L in the physical space of three linear dimensions but in reality [4-dimenional space] it’s not 2L in their world lines as you can see clearly in the animation.
When they start running from point A to B
1- Each runner reaches B diagonally at later (in time) and
Similarly when they starts running from point B to A
2- Each runner reaches A diagonally at later (in time)
This means none of the runners returns to their original position (in past and this impossible) A or B but reach there at later (in time).
Now an example of this animation can give you a quick idea of a pulse moving from A to B and then from B to A in the aforementioned stationary light clock in the physical space of three linear dimensions as well as through space-time if you imagine one of the runners is a pulse.
Since a pulse never comes back to its original position (past) in its space-time continuum therefore is the distance of 2L appeared in stationary clock authentic and time dilates in aforesaid staionary clock?