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Originally Posted by Jeff Root
Do the amplitudes of the waves represent electric and magnetic field strengths, or extension in space of the fields? Or what?
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Field strengths.
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Originally Posted by Jeff Root
Does a photon have extension in space in *any* direction?
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Only in the same sense that other elementary particles have extension in space. That is, the position of a photon is "spread out" like any other particle. As to whether there's something physical occupying volume for any of these particles, I think that question remains unanswered.