This paper speculates on the possibility that a proton or an electron could have a hierarchical structure, consisting of quarks and infinite sub-quarks, which have fractional charge values. The charge of a proton or an electron could be seen as a collection fractional charge of quarks and infinite sub-quarks. On extremely small scales or at very high observational resolution equivalent to a very high energy, fractal charge might become foam-like, which can, however, be described using a continued fraction.
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