These can then be differentiated accordingly to obtain the complete field equations for a moving point particle.

I'd expect reality to fall into a probabilistic band around that predicted for a point particle.

Elementary particles are sometimes called "point particles", but this is in a different sense than discussed above.

In terms of size this concept is similar to that of point particles.

It is often a hypothetical simplified point particle with no properties other than mass and charge.

The center of mass of a composite object behaves like a point particle.

Except that this makes no sense if the electrons are thought of as point particles: they cannot fill the whole orbital at one time.

In mechanics, a point particle can move independently in the three directions of space.

The pilot wave guides the motion of the point particles as described by the guidance equation.

Another problem with your question is that an electron, as far as we know, is a point particle.