%0 Book Section
%T A model of topological quantization of the electromagnetic field
publisher Kluwer Academic Publ.
%D 1995
%U 0-7923-3670-4
%@ https://hdl.handle.net/20.500.14352/60824
%X A recently proposed topological model of the electromagnetic field is described, which is based in the existence of electromagnetic knots, standard solutions of the Maxwell equations, characterized by the linking numbers n and m of the electric and magnetic vectors, the magnetic and electric helicities having the values h_(mag) = 2nћ, h_(e)l = 2mћ. The model coincides locally with the classical Maxwell standard theory, but it is globally nonequivalent because its topological properties imply what is called a hidden nonlinearity: the fields span only a nonlinear subset of the solutions of a linear equation. Two consequences of the topological structure are important: the classical expression for the difference between the numbers of right handed and left handed photons is equal to n + m, having thus a topological interpretation, and the electric charge is quantized, the fundamental value being close to 14/3 times de electron charge.
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