Physics Mind Bender

[xenomorph64]

The contradiction comes from the falsehood of classical mechanics.

First of all, the electrical repulsion exists in both frames of reference, but in the frame that is not moving with the electrons, there is also a magnetic attraction (less than the electrical repulsion). So there is a net repulsive force between the electrons in both frames of reference, it is just less in the frame moving with the electrons.

So if you were to consider the amount of time it takes for the electrons to move a certain distance apart due to the repulsion, you would get two different values.

It turns out these values are related by the time dilation property in special relativity. Maxwell's equation are not invariant under Galilean transformations, they are invariant under Lorentz transformations (google it). This makes classical electromagnetism incompatible with the rest of classical mechanics. This incompatibility played a role in the discovery of special relativity.

So there is no contradiction, you're just using the wrong physics.

[Nostalgiia]

well, my thoughts on this, not knowing entirely what is being asked and having little experience in physics, is inertia. an object in motion tends to stay in motion unless acted upon by an outside force. the two particles are moving in the same direction, magnetic field is generated (outside force) and they are attracted to each other --> <-- but once they break their paths, they are no longer traveling in the same plane, in the same direction, therefore the magnetic field is no more and the to -'s or +'s repel each other and for the split second when they are in the same plane in the same direction, they attract, but the attraction doesn't last long enough, nor is it strong enough to cancel out the inertia of the two particles. they are no longer moving in relation to each other, they're on their merry way, doing their own thing.

go for it... tear it apart.