Synchronization of clocks

Since the fastest speed that information can travel is the speed of light, c, if we want to have spatially separated clocks at coordinates (x,y,z) synchronized to the clock at the origin we must have the condition:

(1)

And this equation must also be valid for a platform moving at speed v along the x axis with respect to the first platform:

(2)

where the following equations relate the primed coordinate system to the unprimed one when the relative velocity v is along the x axis:

Equations 1, letting y=z=0, indicates that the further the point x is from the origin, the larger should be its value of time, t= ±x/c.

The animation which follows shows how clocks could be set to agree with equation 1.