An Overview of the Regular Monopole Theory

Home Contact Me

 



(For an access to scientific articles discussing the regular theory of Magnetic Monopoles, click here).

Duality transformations are used as the starting point for the construction of the regular monopole theory. These transformations are:

EB,   B → −E,   e → g,   g → − e.

Duality transformations of the electromagnetic fields can be put in a tensorial form:

Fμν → F*μν,   F*μν → −Fμν.

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:

F(e,w)μν =   − 4π j(e)μ,    F(e,w)*μν = 0.     maμ = e F(e,w)μνvν.

The subscripts (e,w) denote that these fields are bound fields of electric charges and free electromagnetic radiation, respectively. ( Click here 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:

F(m,w)*μν =   − 4π j(m)μ,    F(m,w)μν = 0.     maμ = e F(m,w)*μνvν.

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.