I agree with you Clinton. Unless there are absolute velocities, your argument shows that Lorentz-Einstein's time dilation is absurd. The theory of relativity is absurd.
Solution:

http://vixra.org/abs/0910.0033

Another question. Imagine that you start to spin (one revolution per second). From your point of view, you'll see that a body placed at 1 meter covers a circumference of 1 meter radius in a time of 1 second. A body placed at 50,000 meters covers a circumference of 50 000 m radius in a time of 1 second. And so on ad infinitum ... Obvious ...ly there are higher speeds c = 300,000 km / s !!! The theory of relativity is absurd.
Solution: http://vixra.org/abs/1009.0023

Any transformation between two observers is a space-time dialogue between two entities A and B about a third entity C. In the 'Galileo Transformation', the third entity C is understood, does not appear in the notation. But the 'Lorentz Transformation' completely ignores the entity C, and this is why the twin paradox.
I would like to introduce some new transformations that preserve the local velocity of light. Also resolve the twin paradox.
Relational Transformation: http://vixra.org/abs/0909.0022

More Information: http://21physics.blogspot.com/p/new-lorentz-transformation.html