Comment Re:Question about particle accelerators (Score 1) 305
Special relativty is completely self conistent in a mathematical view point. From a physical one it can get confusing I would suggest looking up the ladder "parradox" as one such example.
One way to simplify matters is to write down all of the space-time cooridinates of events in you problem in one frame, then peform lorentz boosts to get the result in the other frame and measure lengths etc in that frame rather than applying the time dilation and length contraction formulae blindly