I have never understood what is meant when scientists say a “single point” is it something physical like an atom or or a size like the plank length?
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When physicists talk about idealized particles, they sometimes call them “point particles” or “pointlike particles.” These are not necessarily real things; they are basically a way to say, “imagine you had a particle that took up no space whatsoever, but had other properties.” So you could imagine what the math of a pointlike particle that had only an electric charge would be. It is a simplifying abstraction that basically says, “for the point of this discussion, I am assuming that this particle has no size or volume.” There may be reasons to imagine that certain fundamental particles, like electrons or quarks, are actually pointlike particles. But whether they are or aren’t isn’t really necessary for a lot of the equations, so assuming they are makes the math a lot easier.
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