In this ( https://www.youtube.com/watch?v=1TKSfAkWWN0 ) specific video uploaded by Veritasium on YOUTUBE , we come to know about how special relativity makes magnets work. We observe that when a moving proton is brought near a magnetic field produced by electric current, the proton is repelled. Obviously it is supposed to happen.
But suppose that the proton is not moving. So now in that proton's frame of reference , that proton and the protons of the wire are motionless whereas the electrons are moving. According to special relativity the distance between two electrons will be contracted whereas the distance between two protons will expand. So the wire becomes negatively denser which means the proton will feel an attractive force.
But we know this is not possible. Because F = qvB sin(theta) and here v=0. But according to the explanation given by Veritasium, the motionless proton should feel an attractive force. I know I'm missing a point somewhere. Can anyone please point that out for me ? I really appreciate any help you can provide.