Question on classical electron radius

[Jianphys17]

Hi at everyone, why on wiki there is written:
" According to modern understanding, the electron is a point particle with a point charge and no spatial extent. Attempts to model the electron as a non-point particle are considered ill-conceived and counter-pedagogic "
I don't understand this that mean..

 

[DuckAmuck]

It means it has 0 size in terms of volume, it's treated as a point, like a point on a graph. Whether or not that is actually true is unknown.

 

[Stavros Kiri]

What is known for sure is that it is an Elementary Particle ... (May be that's what they were aiming at expaining ... Not sure though)
Whether it is a point particle or not is a different story ... and a long story.
Two remarks to think about:
1. What about the Classical Radius of the Electron? ... (e.g. E&M-wise)
2. Quantum Mechanically it is described by a wave function, not a point ...

According to modern understanding

?!
Note: wiki is not always reliable.

 

[Stavros Kiri]

What is known for sure is that it is an Elementary Particle ... (May be that's what they were aiming at expaining ... Not sure though)

It may indeed be the case. See 'Point particle' in wiki. In particular:
"Elementary particles are sometimes called "point particles", but this is in a different sense than discussed above."
and
"In quantum mechanics, the concept of a point particle is complicated by the Heisenberg uncertainty principle, because even an elementary particle, with no internal structure, occupies a nonzero volume."

I think that explains a lot (by wiki itself).