That explanation works as long as you are happy to ignore the acceleration phase and just consider "before and after". There are a number of complications during the acceleration.

Yes. Note that this is a highly unrealistic electron drift velocity. Typical speeds are around 10^{-5}m/s, yielding a separation change of around one part in 10^{26}.

I disagree. As was pointed out earlier, you needed other people (using the mathematical formulas) to tell you the strength of each interaction. Your approach can help you understand the math, but it simply cannot substitute for the math.

It is not only inefficient, it is also insufficient.

But I am not the one who said your graphs were wrong, that was you. I am just telling you why: they are wrong because they are the outcome of a fundamentally flawed approach.

Another fundamental flaw of this approach is that you are attempting to “explain electromagnetism with relativity” when you don’t know relativity. How does that make sense as an approach? In order to avoid learning electromagnetism directly you are now trying to learn general relativity, but general relativity is a substantially more difficult subject.

If an advanced second grader asked you to explain multiplication tables using logarithms when they don’t know logarithms, would you not recommend a different approach to multiplication?

DrGreg's diagram is not suited for my purposes since there are too many particles and also, not a simple ratio of electrons to protons in each frame. Is mine correct?

I have a question about the magnetic force. If the strength of the electric repulsion between two electrons co-moving at 87% the speed of light is 1 then is the strength of the magnetic attraction between them 0.5? And if the electrons are moving in opposite directions is the magnetic force repulsive or is it simply halved in strength and still attractive?

That gives me a formula but it doesn't answer the question for me. If you don't want to tell me just say you don't feel like figuring it out. jartsa was helpful but you are not

The formula answers the question. (I recognize your previously stated distaste for math, but it is undeniably essential for exactly this specific question and it does no good to berate someone for answering a mathematical question with math)

If you are asking us to check your working, post your working. If you are just guessing, all the tools are available on this thread for you to be able to answer your own question without guesswork. Try. Post your working or say where you get stuck.

I've just been told two co-moving electrons will not experience a magnetic force that pulls them towards each other. Is this true?? I thought this was like the main reason for two wires with identical currents attracting ...

It's hard to give a complete and correct description in words without math, but I'll say what I can. In a frame where the two electrons are moving, there is both an electric and a magnetic force. In a frame where the electrons are at rest (relative to the frame), there is only an electric force.

There are well defined transformation laws for how the components of the force transform, but it's hard to describe in non-technical language without mathematics. In technical language, we say that the forces transforms in a covariant manner.

In general, the difficulty in describe how things transformation when one changes frame is a limitation of your non-mathematical approach.

It's a bit like how length contraction works, but the details are different.

Yes, and from what I understood, your position was two co-moving electrons experience an attractive magnetic force towards each other. Or at least that's what I thought jartsa was telling me. And I thought I had it down until someone on another forum mentioned the argument I will elaborate on below.

The argument against this that was given me is if there is an attractive magnetic force and repulsive electric force in the frame where they are moving, but only a repulsive electric force in the frame where they are stationary, the frames do not agree on whether the electrons are moving towards each other or moving apart, or at least they don't agree on how fast they are moving apart. What is wrong with this argument? The only resolution I can think of is that the repulsive electric force in the frame where they are moving is stronger than it is in the frame where they are stationary, although I don't see why this should be the case that the electric force is stronger when the electrons are moving than when they are not.

They experience an attractive magnetic force in frames where they are moving and a repulsive electric force in all frames. The net force is repulsive in all frames

The frames all agree that the net force is repulsive. They do not agree on how fast they are moving apart