Does time dilate in sationary light clock?

A stationary light clock is shown in the following link in which a light pulse traces out a path of length 2L in between the two mirrors separated by a distance L in the physical space of three linear dimensions. http://en.wikipedia.org/wiki/File:Time-dilation-001.svg Although it seems a pulse back and forth... show more A stationary light clock is shown in the following link in which a light pulse traces out a path of length 2L in between the two mirrors separated by a distance L in the physical space of three linear dimensions.

http://en.wikipedia.org/wiki/File:Time-d...

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.
Explanation:

Please click on the animation “A race: There and Back two runners and a time-keeper, a meterstick”in the following link.

http://physics.syr.edu/courses/modules/L...

If this doesn’t work then click on the following link

http://physics.syr.edu/courses/modules/L...

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?
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