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The Unified Theoretical Form of Massive Electrodynamics

DOI: 10.4236/oalib.1101732    815 Downloads   1,148 Views   Citations
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ABSTRACT

Based on the mechanism of vacuum polarization, we here establish a set of new electromagnetic field equations (EFEs) in 5-dimensional Minkowski coordinate system, which can be used to consider some physical implications, such as the dispersion, the polarized states and the Hubble redshift of massive photon. It shows that, the effective mass of photon is related to the Hubble constant H, and finally determined by its unit spin h. Importantly, these obtained equations, working as a generalization of Maxwell’s equations (MEs), enable us to develop the special relativity into 5-dimensional form. In developed relativity, the particle spin will voluntarily go into the motion equation, since it plus the linear momentum and energy can just form a 5-dimensional covariant vector. Moreover, by reorganizing the conservation laws of generalized electrodynamics, we find that the Hamiltonian of massive photon is similar to the Dirac formation. This similarity allows us to construct a new Dirac typical equation to study the motion of massive photon from a standpoint of Dirac theory.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Yao, Q. (2015) The Unified Theoretical Form of Massive Electrodynamics. Open Access Library Journal, 2, 1-23. doi: 10.4236/oalib.1101732.

References

[1] Tu, L.C., et al. (2005) The Mass of the Photon. Reports on Progress in Physics, 68, 77.
http://dx.doi.org/10.1088/0034-4885/68/1/R02
[2] Zhang, Y.Z. (1998) Special Relativity and Its Experimental Foundations. World Scientific Press, Singapore.
[3] Feynman, R.P. (1949) The Space-Time Approach to Quantum Electrodynamics. Physical Review Letters, 76, 769.
http://dx.doi.org/10.1103/PhysRev.76.769
[4] Strocchi, F. (1967) Gauge Problem in Quantum Field Theory. Physical Review Letters, 162, 1429.
http://dx.doi.org/10.1103/PhysRev.162.1429
[5] Goldhaber, A.S. and Nieto, M.M. (1971) Terrestrial and Extra-Terrestrial Limits on the Photon Mass. Reviews of Modern Physics, 43, 277.
http://dx.doi.org/10.1103/RevModPhys.43.277
[6] Masood, S.S. (1991) Photon Mass in the Classical Limit of Finite-Temperature and -Density QED. Physical Review E, 44, 3943.
Mendonca, J.T., et al. (2000) Field Quantization in a Plasma: Photon Mass and Charge. Physical Review Letters, 62, 2989.
[7] Bay, Z. and White J.A. (1972) Frequency Dependence of the Speed of Light in Space. Physical Review D, 5, 796.
http://dx.doi.org/10.1103/PhysRevD.5.796
[8] Greiner, W. and Reinhardt, J. (1996) Field Quantization. Springer, New York.
http://dx.doi.org/10.1007/978-3-642-61485-9
[9] Eidelman, S., et al. (2004) Review of Particle Physics. Physics Letters B, 592, 1-5.
http://dx.doi.org/10.1016/j.physletb.2004.06.001
[10] Tu, L.C., et al. (2006) Test of U(1) Local Gauge Invariance in Proca Electrodynamics. Physics Letters A, 352, 267-271.
http://dx.doi.org/10.1016/j.physleta.2005.12.017
[11] Proca, A. (1930) Fundamental Equations of Elementary Particles. Comptes Rendus, 190, 1377.
[12] Singleton, D. (1996) Does Magnetic Charge Imply a Massive Photon. International Journal of Theoretical Physics, 35, 2419-2426.
http://dx.doi.org/10.1007/BF02085749
[13] Jackson, J.D. (1976) Classical Electrodynamics. John Wiley & Sons, Hoboken.
[14] Cheng, T.P. (2005) Relativity, Gravitation and Cosmology. Oxford University Press, Oxford.
[15] Jackson, J.D. (1987) The Impact of Special Relativity on Theoretical Physics. Physics Today, 40, 34.
http://dx.doi.org/10.1063/1.881108
[16] Hollweg, J.V. (1974) Improved Limit on Photon Rest Mass. Physical Review Letters, 32, 961.
http://dx.doi.org/10.1103/PhysRevLett.32.961
[17] Schaefer, B.E. (1999) Severe Limits on Variations of the Speed of Light with Frequency. Physical Review Letters, 82, 4964.
http://dx.doi.org/10.1103/PhysRevLett.82.4964
[18] Prokopec, T., et al. (2002) Photon Mass from Inflation. Physical Review Letters, 89, 101301.
http://dx.doi.org/10.1103/PhysRevLett.89.101301
[19] Wesson, P.S. (1984) An Embedding for General Relativity with Variable Rest Mass. General Relativity and Gravitation, 16, 193-203.
http://dx.doi.org/10.1007/BF00762447
[20] Gao, C.S. and Zeng, J.Y. (1990) Particle Physics and Nuclear Physics. Higher Education Press, Beijing.
[21] Greiner, W. and Reinhardt, J. (1996) Field Quantization. Springer, New York.
http://dx.doi.org/10.1007/978-3-642-61485-9
[22] Nieuwenhuizen, P. (1973) Radiation of Massive Gravitation. Physical Review D, 7, 2300.
http://dx.doi.org/10.1103/PhysRevD.7.2300
[23] Aharonov, Y. and Bohm, D. (1959) Significance of Electromagnetic Potentials in the Quantum Theory. Physical Review, 115, 485.
http://dx.doi.org/10.1103/PhysRev.115.485
[24] Aharonov, Y. and Casher, A. (1984) Topological Quantum Effects for Neutral Particles. Physical Review Letters, 53, 319.
http://dx.doi.org/10.1103/PhysRevLett.53.319
[25] Cimmino, A., et al. (1989) Observation of the Topological Aharonov-Casher Phase Shift by Neutron Interferometry. Physical Review Letters, 63, 380.
http://dx.doi.org/10.1103/PhysRevLett.63.380
[26] Fuchs, C. (1990) Aharonov-Casher Effect in Massive-Photon Electrodynamics. Physical Review D, 42, 2940.
http://dx.doi.org/10.1103/PhysRevD.42.2940
[27] Hubble, E. (1929) A Relation between Distance and Radial Velocity among Extragalactic Nebulae. Proceedings of the National Academy of Sciences of the United States of America, 15, 168-173.
http://dx.doi.org/10.1073/pnas.15.3.168
[28] Sandage, A., et al. (1996) Cepheid Calibration of the Peak Brightness of Type Ia Supernovae. The Astrophysical Journal Letters, 460, L15-L18.
http://dx.doi.org/10.1086/309973
[29] Yao, Q.K. (2015) The Spatial Relativity and Its Physical Consequences. Open access Library Journal, 2, e1286.
http://dx.doi.org/10.4236/oalib.1101286
[30] Itzykson, C. and Zuker, J.B. (1980) Quantum Field Theory, McGraw-Hill Inc., New York.

  
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