The Divergences in the Iteration Solution
If quantum electrodynamics were a complete and satisfactory theory, it would be a mathematically rigorous and logically consistent structure which allows—at least in principle—the calculation of all radiative processes. This cannot be said without qualifications of the theory in its present state of development. The equations of this theory seem to lead to mathematically inconsistent consequences. In spite of this defect, it has been possible to extract from this incomplete theory results which are in perfect agreement with empirical data. If we bear in mind that some of these results are far from simple in their analytical form, and that they can be derived from the basic equations of the theory so far developed without any further ad hoc assumptions, we are driven to the conclusion that the theory in its present form is essentially correct. There is not one single experimental fact known today concerning radiative processes which could not be quantitatively explained by this theory.
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