/sci/ - Science & Math

Am I correct in understanding that electron is inherently an electromagnetic field that spans the whole space, but since EM field strength is heavily dependent on distance from the source, most of it's energy is within a very small radius which we call "classical electron radius" and so in many cases we can view it as a particle?

Then what does it mean when they say it's considered a point particle? Isn't there a specific distance where if it goes any closer to a positron, two electrons are borne?

Or do we just call every elementary particle a point particle even though they are technically infinite?

Does classical electron radius (or any other radius) have any physical meaning or is it just a useful tool to solve problems within some error?


HELP ME.