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Fernández-Rañada, Antonio
(1995)
*A model of topological quantization of the electromagnetic field.*
In
Fundamental Problems in Quantum Physics.
Fundamental Theories of Physics
(73).
Kluwer Academic Publ., pp. 267-277.
ISBN 0-7923-3670-4

Official URL: http://dx.doi.org/10.1007/978-94-015-8529-3_26

## Abstract

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.

Item Type: | Book Section |
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Additional Information: | International Symposium on Fundamental Problems in Quantum Physics (1993. Oviedo). © 1995 Kluwer Academic Publishers. |

Uncontrolled Keywords: | Topological Quantization, Electromagnetic Fields, Knots. |

Subjects: | Sciences > Physics > Electricity Sciences > Physics > Electronics |

ID Code: | 24975 |

Deposited On: | 08 Apr 2014 10:46 |

Last Modified: | 10 Dec 2018 14:58 |

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