Sigh, so many people commenting without knowing what they're talking about. It can be tricky to get your head around it, but you guys really need to read up on the Theory of Relativity. It'd answer many questions in this thread.
Anyway, cool OP. To observe a single photon is an awesome achievement. To add another piece of evidence to an already large pile in support of Relativity and C as a constant is no biggie, except that this is actual observational evidence! Very cool. Hoping for more articles with some dumbed down explanations as there are still some aspects of the experiment itself that I don't understand. Back to Google in the mean time.
[BTW the whole travelling forward in time but not backward was brought up a coupla times.
This isn't technically time-travel in the sense we see in movies etc. What you'd do is fly really fast, so time will slow down for you. So you do a loop around the (celestial) neighbourhood for, maybe a year, at let's say point something the speed of light. Time's going faster on earth, so when you get back, maybe 2 or 3 years have passed. Cool, you've gone into the future. Time travel. BUT, you can never go back. Meh. AND, you've still aged by a year. So you lose all the cool time-travel benefits we'd like to get, except for the whole seeing the future thing, which you can only really achieve if you are able to go fast enough. Otherwise you're only seeing the near future - boring.]