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

Qiankai Yao^1,2

¹School of Physics and Engineering, Zhengzhou University, Zhengzhou, China.
²College of Science, Henan University of Technology, Zhengzhou, China.

DOI: 10.4236/oalib.1101955                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Helmholtz, H.V. (1858) Ueber Integrale der hydrodynamischen Gleichungen, welche der Wirbelbewegung entsprechen. Journal für die reine und angewandte Mathematik, 55, 25. (In German)
[2]	Maxwell, J.C. (1865) A Dynamical Theory of the Electromagnetic Field. Philosophical Transactions of the Royal Society of London, 155, 459-512. http://dx.doi.org/10.1098/rstl.1865.0008
[3]	Heaviside, O. (1893) Electromagnetic Theory. Chelsea Publishing Co., London.
[4]	Dirac, P.A.M. (1931) Quantized Singularities in the Electromagnetic Field. Proceedings of the Royal Society A, 133, 60. http://dx.doi.org/10.1098/rspa.1931.0130
[5]	Dirac, P.A.M. (1948) The Theory of Magnetic Poles. Physical Review Letters, 74, 817. http://dx.doi.org/10.1103/PhysRev.74.817
[6]	Preskill, J. (1984) Magnetic Monopoles. Annual Review of Nuclear and Particle Science, 34, 461-530. http://dx.doi.org/10.1146/annurev.ns.34.120184.002333
[7]	Milton, K.A. (2006) Theoretical and Experimental Status of Magnetic Monopoles. Reports on Progress in Physics, 69, 1637. http://dx.doi.org/10.1088/0034-4885/69/6/R02
[8]	Rajantie, A. (2012) Introduction to Magnetic Monopoles. Contemporary Physics, 53, 195-211.
[9]	Fryberger, D. (1985) Magnetic Monopole. IEEE Transactions on Magnetics, 21, 84-101. http://dx.doi.org/10.1109/TMAG.1985.1063877
[10]	Yao, Q.K. (2015) The Unified Theoretical Form of Massive Electrodynamics. Open Access Library Journal, 2, e1372. http://dx.doi.org/10.4236/oalib.1101732
[11]	Gonano, C.A. (2011) Estensione in N-D di prodotto vettore e rotore e loro applicazioni. M.S. Thesis. (In Italy) https://www.politesi.polimi.it/bitstream/10589/34061/1/2011_12_Gonano.pdf, Dec. 2011.
[12]	Schwinger, J. (1969) A Magnetic Model of Matter. Science, 165, 757-761. http://dx.doi.org/10.1126/science.165.3895.757
[13]	Barut, A.O. (1964) Electrodynamics and Classical Field Theory of Fields and Particles. Macmillan, New York.