As we all know time slows down the closer you get to the speed of light. The LHC speeds matter up to approximately .999 times the speed of light. What effect does time have in this experiment?

I believe it will take approximately 2 weeks to speed the matter up to .999 times the speed of light before the matter can be smashed together. A question to tide those people interested in mathematics over for a bit; I'm not exactly sure the rate at which the matter will speed up but if it takes 2 weeks for the matter to speed up to 99.9% how much time will pass for the matter as opposed to us?