2014-01-21
Electric and Magnetic Fields Due to Massive Photons and Their Consequences
By
Progress In Electromagnetics Research M, Vol. 34, 153-161, 2014
Abstract
Allowing photons to bear mass, the electric and magnetic fields of a steadily moving charge are not no longer perpendicular to each other, as anticipated from Biot-Savart law. The electric and magnetic fields of such a particle depend on the gauge potentials, φ and A. The orthogonality relations of the particle fields and the direction of motion depend on the mass of the photon. The non-relativistic correction to the particle fields was found to be related to the Lorenz gauge condition. It is shown that the existence of magnetic monopoles inside matter is inevitable when magnetic filed is applied in a conductor. Their existence is a manifestation of the massive nature of the photon inside matter. Neither electric nor magnetic current is separately conserved for photons, but their sum is. Massive photons are found to produce electric and magnetic fields. A force proportional to the square of the current is found to act along the wire, F = 1/2μ0I2, where μ0 is vacuum permeability.
Citation
Arbab Ibrahim Arbab, "Electric and Magnetic Fields Due to Massive Photons and Their Consequences," Progress In Electromagnetics Research M, Vol. 34, 153-161, 2014.
doi:10.2528/PIERM13111603
References

1. Vigier, J. P., "Evidence for nonzero mass photons associated with a vacuum-induced dissipative red-shift mechanism," IEEE Transactions on Plasma Science, Vol. 18, No. 1, 64-72, 1990.        Google Scholar

2. Tu, L., J. Luo, and G. T. Gillies, "The mass of the photon," Rep. Prog. Phys., Vol. 68, 77, 2005.        Google Scholar

3. Kar, G., M. Sinha, and S. Roy, "Maxwell equations, nonzero photon mass, and conformal metric fluctuation," Int. J. Theor. Phys., Vol. 32, No. 4, 593-607, 1993.        Google Scholar

4. Bass, L. and E. Schodinger, "Must the photon mass be zero?," Proc. Roy. Soc. London: Series A, Vol. 232, No. 1188, 1-6, 1955.        Google Scholar

5. Dvogeglazov, V. V. and J. L. Quintanar Gonzalez, "A note on the Lorentz transformations for the photon," Found. Phys. Lett., Vol. 19, 195-200, 2011.        Google Scholar

6. Proca, A., "Sur la theorie ondulatoire des electrons positifs et negatifs," J. Phys. Radium, Vol. 7, 347-353, 1936.        Google Scholar

7. Dvogeglazov, V. V., "The modified Bargmann-Wigner formalism for higher spin fields and relativistic quantum mechanics," Int. J. Mod. Phys. Conf. Ser., Vol. 3, 121-132, 2011.        Google Scholar

8. Arbab, A. I., "The analogy between matter and electromagnetic waves," EPL, Vol. 94, 50005, 2011.        Google Scholar

9. Arbab, A. I., "Derivation of Dirac, Klein-Gordon, Schrodinger, diffusion and quantum heat transport equations from a universal quantum wave equation," EPL, Vol. 92, 40001, 2010.        Google Scholar

10. Armour, R. S., "Spin-1/2 Maxwell field," Found. Phys., Vol. 34, 815-842, 2004.        Google Scholar

11. Dvoeglazov, V. V. and J. K. R. Murty Eds., "Fundamental physics: Contemporary thinking," Special Issue of ICFAI Journal of Physics, Vol. 2, No. 2-3, 1-196, 2009.        Google Scholar

12. Arbab, A. I., "Complex Maxwell's equations," Chinese Phys. B, Vol. 22, 030301, 2013.        Google Scholar

13. Silberstein, L., "Elektromagnetische Grundgleichungen in bivectorieller Behandlung," Ann. d. Phys., Vol. 22, 579, 1907.        Google Scholar

14. Majorana, E., "Teoria relativistica di particelle con momento intrinseco arbitrario," Nuovo Cimento, Vol. 9, No. 10, 335-344, 1932.        Google Scholar

15. Mignani, R., E. Recami, and M. Bxldo, "About a Dirac-like equation for the photon, according to Ettore Majorana," Nuovo Cimento, Vol. 11, No. 12, 568-572, 1974.        Google Scholar

16. Singh, P. and N. Dadhich, "The field equation from Newton's law of motion and absence of magnetic monopole," Int. J. Mod. Phys. A, Vol. 16, 1237-1247, 2001.        Google Scholar

17. Arbab, A. I., "Complex Maxwell's equation," Chinese Phys. B, Vol. 22, No. 3, 030301, 2013.        Google Scholar

18. Arbab, A. I. and Z. A. Satti, "The generalized Maxwell equations and the prediction of electroscalar wave," Progress in Physics, Vol. 2, 8, 2009.        Google Scholar

19. Aharonov, Y. and D. Bohm, "Significance of electromagnetic potentials in the quantum theory," Phys. Rev., Vol. 115, 485-491, 1959.        Google Scholar

20. Dirac, P. A. M., "The quantum theory of the electron," Proc. Roy. Soc. London: Series A, Vol. 117, No. 778, 610-624, 1928.        Google Scholar

21. Chereshko, V. P., et al. "Enhancement of the longitudinal magnetic moment of the exciton due to its motion," International Journal of Modern Physics B, Vol. 21, No. 08-09, 1350-1357, 2009.        Google Scholar

22. Gingras, M. J. P., "Observing monopoles in a magnetic analog of ice," Science, Vol. 326, No. 5951, 375-376, 2007.        Google Scholar

23. Cooper, L. N., "Bound electron pairs in a degenerate fermi gas," Phys. Rev., Vol. 104, 1189-1190, 1956.        Google Scholar

24. Bardeen, J., L. N. Cooper, and J. R. Schrieffer, "Theory of superconductivity," Phys. Rev., Vol. 108, 1175-1204, 1957.        Google Scholar

25. Dirac, P. A. M., "Quantised singularities in the electromagnetic field," Proc. Roy. Soc. London: Series A, Vol. 133, No. 821, 60-72, 1931.        Google Scholar

26. Graneau, P., "Longitudinal magnet forces?," J. Appl. Phys., Vol. 55, No. 6, 2598-2600, 1984.        Google Scholar