If we (I am talking about the human race right now) could master that technology then we would have major connundrom as you could theoretically conduct experiments at a faster pace then normal without the need to use large amounts of computing power. However it would/could cause major problems becuase anybody with enough money or influence to get into an area that would allow to happen.
I am forced to agree with Igge as the wikibook -- special relativity is a very heavy read but a very informing read. i would reccomend it to anyone who is interested in special relativity.