Why would the neutrinos travel faster than c? Don't they have mass, and aren't they therefore subject to Theory of Special Relativity?
Well, here are some of my brain farts :
It is an educated guess, but perhaps it is the interaction with the electrical field that is the limitation of c. But not the only one.
A photon interacts with the electrical field and the magnetic field and almost not with the gravitational field. I always wonder about how fast the communication is from a magnetic disturbance. For example, if i would have a magnetic field line the distance of the earth to the sun. This is ~ 150,000,000,000 meters and this takes light (and any EM) to travel to earth a minimum of about ~8 minutes when traveling through a true vacuum.
How could we know if a change at the sun would instantly be present at the earth ? Because everything we use to measure is electrical in nature. How could we test if we use magnetic field lines only, that magnetic field lines also obey the c limit ?
Another example is the gravitational field.
The famous disappearing earth experiment from Einstein would say that only 8 minutes later the sun would experience a gravitational change because the earth is gone. But is this really true ? Would this change not be experienced immediately in the magnetic field ? If that is the case,what would this mean for a gravitational change.
When looking from a distance at our solar system, you could say that everything interacts without the limitation of c. It reminds me of acceleration and inertia. Only a change in speed or direction transfers with the speed of c as a maximum. But that does not mean that you are not already going faster then c. Perhaps it is the acceleration that is limited to c. And a disturbance in an electrical field, can also be seen as a displacement.
How to accelerate something without speeding up ? Instead of increasing speed, increasing directional change ? I hope for the day that we can make an accelerator where we just as an ice skating dancer , can decrease the Circumference of the accelerator ring thereby increasing the rate of directional change. Will be fun for "particles" without a (net ?) charge.