[layer8]

Well, I was referring to the electron field, not to electrons. According to QFT, particles are excitations of an underlying quantum field. It’s the field that is fundamental, not the particle. See e.g. [0]. And those fields are continuous, not discrete, i.e. can only be described by an infinite number of points and values.

[0] https://www.quantamagazine.org/what-is-a-particle-20201112/

[danparsonson]

Great read, thanks. I think I see the point you're making now - any continuity necessarily requires an infinity by virtue of being continuous.