> However, this figure [infinite perimeter] relies on the idea that space can be subdivided indefinitely. This fiction—which underlies Euclidean geometry and serves as a useful model in everyday measurement—almost certainly does not reflect the changing realities of 'space' and 'distance' on the atomic level.
A subatomic particle has a physical size of zero (the "size" of a particle is essentially the range of the forces it participates in, but the spatial size is zero), so depending on how you measure it (i.e. which forces) you can get an area that really is infinite.
> However, this figure [infinite perimeter] relies on the idea that space can be subdivided indefinitely. This fiction—which underlies Euclidean geometry and serves as a useful model in everyday measurement—almost certainly does not reflect the changing realities of 'space' and 'distance' on the atomic level.