60 nanoseconds? That can't be right, it's an enormous amount of time in these scales. For now, I'd assume some error in the experiment itself. But if it's not an error, then what? Perhaps gravity is the cause (if there was something in the Earth core that would "compress" space much more than we assume, then perhaps this could influence neutrinos), or maybe FTL is really possible? For sure, this is very interesting.
I was thinking that mayhap gravity field is stronger at CERN location than on Gran Sasso, which would mean atomic clocks run faster on the recipient's end due to time dilatation (similar problem affected the GPS satellites when they were first put on orbit).
However, in an analysis of the required effect, the difference would need to be 60 nanoseconds in the time it takes for the neutrinos to get to their destination (assuming that the TRANSMIT TIME has been successfully synchronized in both locations and is accurate) - the total travel time for light would be 2,435,017.89 nanoseconds, and 2,434,957.89 for these neutrinos, or 2.435 milliseconds.
That means, for every 31,556,926 seconds that passes in a year at San Grasso, 31,557,703.596839672656537956644 seconds would pass at CERN. That's a time difference of a whopping 777.59684 seconds during a year - that's almost 13 minutes! There's no way that can be right! It would have been noticed a million times already, so I think that can be cast out of the possible reasons.
The second thing I was thinking was local variation of the fine structure constant that could vary the speed at which atomic clocks work at CERN and Gran Sasso, but again this would be something that definitely would have been noticed, and a variation of phi at such local concentration would be unprecedented (there have been speculation of FSC being a variable on cosmological scale rather than constant, but different on one location of a planet to another? No way.)
Those were the two "exotic" possibilities that came to mind first, bypassing all the myriads of systematic error resulting from the test rig itself.
Someone at Nature.com posted an interesting thing. Apparently, the speed of neutrinos is measured as 299,799,846 m/s (within rough margin of error) while speed of light is known as 299,792,458 m/s. That corresponds to velocity differential of about 7,388 m/s. Apparently at about sea level, orbital velocity around Earth would be about 7900 m/s which isn't exactly the same, but in the same ballpark of meaningful numbers.
Now that is probably just chance, but it got me thinking - maybe neutrinos travel straight, ignoring gravity (which would make them truly only affected by the weak interaction!), while the "light path" would be curved by gravity and therefore longer by a slight margin...

*
Which is a concept that sort of buggers everything we know about light moving along geodesic lines in space-time, and light traveling the shortest path between two spots in space...

It would also suggest that gravity indeed is a quantum phenomenon with a gauge boson (we can call it a graviton, or Higgs' boson maybe) rather than space-time curvature being the actual cause for gravity (albeit a very useful model in macrogravity scale).
The neutrino mass speculation is based on the observation of neutrino oscillations - a habit of neutrinos that they can change into each other while traveling. A massless particle would not be capable of experiencing such changes as the time for a massless, light-speed particle would be locked and invariable in its own reference frame (life-time = 0, travelled distance = 0 from, say, photon's perspective).
Monkey wrenches
monkey wrenches everywhere
*Yes I know, Earth's gravity is weak and wouldn't curve a light beam all that much at 730 km distance at sea level - however it WOULD be slightly curved and a "straight" line between A and B would be technically a bit shorter. CBA to actually calculate how much shorter though.
