The Rise and Fall of the Electromagnetic 4-Potential

doi:10.4236/oalib.1104979

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Open Access Library Journal 5 2018

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The Rise and Fall of the Electromagnetic 4-Potential

DOI: 10.4236/oalib.1104979, PP. 1-18

Eliahu Comay

Subject Areas: Quantum Mechanics, Theoretical Physics

Keywords: Special Relativity, Maxwellian Electrodynamics, The Variational Principle, Quantum Theories, 4-Potential

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Abstract

The Lienard-Wiechert 4-potential depends on local coordinates and on retarded coordinates of a charge at the source. Therefore, the 4-potential of incoming radiation fields (namely, a photon) cannot be written as a 4-vector which satisfies the locality requirement of fields of a Lagrangian density. This unsolvable problem is the underlying reason for the extremely unusual phenomenon where respectable textbooks make contradictory statements concerning whether the electromagnetic 4-potential is a 4-vector. Moreover, an analysis of well-established experimental data proves that radiation fields and bound fields are inherently different physical objects. These results indicate that the present form of quantum electrodynamics should be revised. It is further proved that in both cases the 4-potential is not a fundamental element of electrodynamics but an auxiliary quantity. For this reason, there are problems with some specific theoretical ideas that pertain to the 4-potential, like gauge transformations, the Dirac monopole theory and the Aharonov-Bohm effects.

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Comay, E. (2018). The Rise and Fall of the Electromagnetic 4-Potential. Open Access Library Journal, 5, e4979. doi: http://dx.doi.org/10.4236/oalib.1104979.

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