Interrelations between Mathematics and Experiment in the Present Structure of Quantum Electrodynamics

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 = 16π em F F  − μν μν does not abide by these properties of electromagnetic fields, because F μν 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 em  .