system
Given the following post, respond as if you're commenting on Reddit:
human
Question concerning relativistic electromagnetism

My schoolyard chum and I have encountered a conondrum, and are curious if there is actually any answer. Let's say that in one relativistic frame of reference there are two stationary positive point charges. The two hypothetical charges should repell. Now let's say that in another frame of reference, both the charges are moving in the same direction, parallel to each other, with velocity V. Now, the charges should be repelling each other, like in the first case. But they should also create attractive magnetic fields (formed due to the motion of the particles), and converge together. In one frame of reference, it seems that the particles should diverge, but in the second, they would converge. This seems a bit contridactory. Does anyone know what would actually happen (and why)?
gpt
If you calculate, using Coulomb's and Ampere's laws, the speed at which the electrons must move in order for the magnetic attraction to balance the electric repulsion, you'll find that v^2 = 1/(epsilon x mu). That, of course, is the speed of light. So, there is no reference frame you can transform to in which the electrons attract.