Hi Cat,
You cannot considere phase as information in this case, because if you change it at time to at place xo, it will not carry the modification at place x1 and time t1 if (x1,t1) canot be reached from (xo,to) with a speed smaller or equal to "c".
So basically it's like a wave: If you look at a wave on the lake, the small ripple on the top of the wave can go faster than wave itself... but it doesn't go as far as the wave goes as it is continuously replaced by a new ripple that starts at the end of the wave, overtakes it and dies at the front of the wave. The energy-mass-information is in the wave, not in the ripple.
You cannot considere phase as information in this case, because if you change it at time to at place xo, it will not carry the modification at place x1 and time t1 if (x1,t1) canot be reached from (xo,to) with a speed smaller or equal to "c".
So basically it's like a wave: If you look at a wave on the lake, the small ripple on the top of the wave can go faster than wave itself... but it doesn't go as far as the wave goes as it is continuously replaced by a new ripple that starts at the end of the wave, overtakes it and dies at the front of the wave. The energy-mass-information is in the wave, not in the ripple.
