Helmholtz, H.V. (1858) Ueber Integrale der hydrodynamischen Gleichungen, welche der Wirbelbewegung entsprechen. Journal für die reine und angewandte Mathematik, 55, 25. (In German)

has been cited by the following article:

• TITLE: Magnetic Monopole Cannot Be Incorporated into the Dual Framework of Electromagnetic Theory

  AUTHORS: Qiankai Yao

  KEYWORDS: Magnetic Monopole, 5-D Field Equations, Dual Symmetry, Dual Spin

  JOURNAL NAME: Open Access Library Journal, Vol.2 No.9, September 23, 2015

  ABSTRACT: Through reexamining the intention of duality in classical physics, we will develop the electromagnetic field equations (EFEs) into a new dualized form. In the process, we will see 1) the dual symmetry does not represent the counterpart of electricity and magnetism, but a technique of expression, that is, any dualized equation will be equivalent to its originality. This symmetry can naturally lead to a conserved quantity (called the dual spin), and meanwhile is responsible for charge quantization; 2) magnetic monopole is not compatible with the classical physical laws. Such an opinion can be summarized as no-reality theorem, namely, any Dirac typical dual object will have no reality, such as, no realities of magnetic monopole and permanent electrics, so that the final conclusion is magnetic monopole which does not exist.