Another uncertainty question, this came up in another forum.
As I understand it an electron, for example, is a point-like particle. I take this to mean it exhibits dimensionless properties, but being only point-like, lacks a defined location. Instead of a location it has a wave equation.
I asserted this means that all of the properties (eg. charge and mass), of an electron would factually act in a manner that directly matched the wave equation, whatever it was at that moment. In other words, if the wave equation for the electron was an "electron cloud" in an atom, then the electron's properties would be that also. It would generate an electric field exactly as if it factually was a cloud around the nucleus until such time as it's wave equation changed.
The other poster insisted I was wrong. I am sure I can't explain their view exactly but they said electrons don't become "smeared out" (their term) like that and that the electron was just a point particle, we were just uncertain about where it was.
I just can't see it working that way, I believe that if the electron is in any wave equation state, all of it's properties and fields would have to be in the same wave equation state as well. Of course the location can be confined to a smaller location, different wave equation, but it can never be confined to a point. So as a practical matter, the properties of an point particle must always be spread over some finite area.
Is this wrong, and if so why?