[naebother]

These particles don't have a volume; they're point-like. They don't exactly have an inside with other particles waiting to burst out. These are just mathematical abstractions after all, good at making some predictions. May or may not be actual reality.

[intricatedetail]

But when I picture a point, I can see it and since it has a visible area, then what's in it? That's my problem. I could picture it as nothing maybe? But then what's in the blank space? It has a volume...

[naebother]

Probably because we learn about points by drawing them on a graph at some point in math class, so we imagine them having an area. I think points are an abstract construct. Sort of like infinity - you can never truly reach it. Or imagine it.

[slowmovintarget]

That's more an issue with your mental model. These aren't points, they are fields with potentials.