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So lately I was speculating why nature choose the number 2 in Coulomb's law like why not 2.$10^{100}$ trailing zeros and then 1 or anything else. I find 2 a bit arbitrary the given explanation being the cancellation of 2 while applying Gauss law in 3d space. So my question is, is there any fundamental explanation for this fact like from QED or something like that?

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