Duality transformations are used as the starting point for the construction of
the regular monopole theory. These transformations are:
Duality transformations of the electromagnetic fields can be put in a
tensorial form:
At present, Maxwellian electrodynamics is confirmed experimentally for
systems which consist of electric charges and their associated
electromagnetic fields. For this kind of systems,
Maxwell's equations and the Lorentz law of force are:
The subscripts (e,w) denote that these fields are bound fields of electric
charges and free electromagnetic radiation, respectively. (
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for a scientific Article showing how a
decomposition of the electromagnetic fields into their bound
and radiation components can be achieved.)
By applying duality transformations to the system of electric charges and
electromagnetic fields, one obtains the equations of motion
of magnetic monopoles and magnetoelectric fields:
At this point we still do not have a theory for the combined system of electric
charges, magnetic monopoles and their fields. Using self-evident postulates,
one obtains the following conclusions: charges do not
interact with bound fields of monopoles; monopoles do not interact with bound fields
of charges; radiation fields of the systems are identical and charges as well
as monopoles interact with them.
This conclusion is just a rephrasing of the data on electrons' and real photons'
interactions with hadrons. Therefore, it encourages a further investigation
of the implications of the regular monopole theory.