- Apr 2008
- On the dance floor, baby!
...But \(\displaystyle v_g\) and \(\displaystyle v_p\) are, in general, not equal. So we do have to make a distinction. However if you are interested only in one frequency, then yes, they are the same.Actually, it’s not necessary to care too much about if c is phase speed or group speed or the specific value of c in SR.
What is it about speed that we are "mistreating?" I mean, any physical constant can never become infinite so why are you worried about the speed of light not becoming infinite?Actually, c ≈ ****** m/s is a very small value in planet scale. For the motion elements such as mass, force, acceleration, momentum, kinematic energy, etc, their values can trend to infinite theoretically. Why cosmos / physics mistreat speed? This problem can be solved in 4D space SR.