The electromagnetic interaction of the hydrogen atom is used as an experimental device and the data prove that bound fields and radiation fields are different physical objects. A further analysis proves that there is no direct interaction between radiation fields and there is no self-interaction of fields of an elementary pointlike charge. Therefore, bound fields and radiation fields should be treated differently and radiation fields emitted from two different sources should be treated separately. The fields term of the electromagnetic Lagrangian density Lem=-Fuv Fuv/16π; does not abide by these properties of electromagnetic fields, because Fuv is the sum of all kinds of fields. This is the underlying reason for the infinities of quantum electrodynamics and for the erroneous energy-momentum tensor which is obtained from an analysis of Lem.
Cite this paper
Comay, E. (2015). Interrelations between Mathematics and Experiment in the Present Structure of Quantum Electrodynamics. Open Access Library Journal, 2, e2211. doi: http://dx.doi.org/10.4236/oalib.1102211.
Wigner, E. (1960) The Unreasonable Effectiveness of Mathematics
in the Natural Sciences. Comm. Communications
on Pure and Applied Mathematics, 13, 1-14. http://dx.doi.org/10.1002/cpa.3160130102
Comay,
E. (1991) Lorentz Transformation of Electromagnetic Systems and the 4/3
Problem. Zeitschrift für Naturforschung A, 46, 377-383. http://dx.doi.org/10.1515/zna-1991-0501