Abstract
The propagation of an electromagnetic pulse of the form of a fuzzy ball (or three dimensional gaussian type) in free space is strictly solved as an initial value problem. It is shown that an initial fuzzy ball separates into two stable pulses as time elapses when it has a large wave number relative to the inverse of the pulse width while in case of zero wave number it is not the case. A model of a circularly polarized photon of the form of a fuzzy ball is shown.
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