Axiomatic deduction of equations of motion in classical electrodynamics

Charges, monopoles and duality relations

“…Conclusion D is consistent with the charge-monopole equations of motion obtained in [4] under assumptions A and B, as presented in the introduction.…”

“…Many discussions on the subject can be found in the literature [1,2]. One unsettled point of many chargemonopole theories is the lack of a regular classical Lagrangian function from which the theory can be derived [3,4]. This shortcoming entails difficulties in a construction of a quantum mechanical theory of the system [5,6].…”

“…In addition to these postulates, several other self-evident ones are used. It is shown in [4] that one can construct a self-consistent theory on this basis. As postulated, this theory is derived from a regular Lagrangian function.…”

Inherent Differences between Bound and Radiation Fields

“…Indeed, if an addition of a divergenceless Let us turn to the main objective of the present work-the examination of differences between radiation fields and bound fields. The following article [13] proves that radiation fields directly yield the symmetric tensor (19), because in this case the correction term W µν of (19) vanishes identically. This result means that the unphysical properties of the energy-momentum tensor which are derived from the electromagnetic fields Lagrangian density are related to bound fields only, whereas radiation fields directly yield the correct energy-momentum tensor.…”

“…Conclusion A is obtained from a pure theoretical analysis [19] [20]. It turns out that it has a striking manifestation in physical data.…”