In this case I think we see an illustration of the fact that the notion of a particle as a mathematical point in space - something with zero dimensions - is an abstraction; an approximation that works well enough because we can't in that much detail any way, and it makes the equations so much easier.
All that we ever really measure after all is interactions (not exactly the same as 'forces' but 'force' is the macroscopic equivalent.) Both the notion of particles as either something with zero dimensions, something with many dimensions, or perturbations in some theoretical 'field' is an abstraction.
Take the leptons such as the electrons. In our observations we frequently take several interaction measurements of 'an electron' that together happen to be consistent with a mathematical description of a 'distinct thing' but that doesnt make it so - all we actually witness are the interactions, and in actuality its the interactions many times removed that we are witnessing but thats another topic.
'Electron' is just a label to help describe some interactions that we observe. There is a difference between knowing somethings name and knowing what that somethings is. The most truthful statement that can be made is that the universe appears to preserve some quantities in between interactions. We have given names to these quantities (charge, mass, spin, momentum,
Richard Feynman cared about the interactions. He didnt bother with the notions of what particles actually are, or even what the quantities preserved actually are (or why they are preserved.). In one interview he notes, when talking about inertia, that there is a difference between knowing something and knowing the name of something. We have a word for a phenomenon we observe called inertia, but we havent a clue why it is so.
Particles are just labels.