An Illustration of the Regular Monopole Theory

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(For an access to scientific articles discussing the Regular Charge-Monopole Theory (RCMT), click here).

The simple illustration presented below proves the validity of the theoretical structure of RCMT.

Consider two planets called E and M respectively. For the simplicity of the discussion assume that the relative motion of E and M is small and can be ignored. Planet E is made of particles carrying electric charge e and planet M is made of particles carrying magnetic monopole g. Physicists on E have developed our well-known Maxwellian electrodynamics, which does not contain monopoles. On the other hand, Physicists on M have developed the dual electrodynamics which does not contain charges. Duality transformations of an electromagnetic system take the following form:

EB,   B → −E,   e → g,   g → − e.


A communication between E and M is established by means of an exchange of electromagnetic radiation (photons). The theoretical basis that enables this kind of communication is the fact that electromagnetic radiation on E and electromagnetic radiation on M satisfy the same homogeneous Maxwell equations:

Fμν = 0,    F*μν = 0.

Here Fμν and F*μν denote the tensor of the electromagnetic fields and its dual tensor, respectively.

Using the direction of a galaxy, scientists on E and M agree on a common set of x,z axes. The z axis is along the line connecting E and M. The x axis is perpendicular to z and is embedded in the plane that includes E, M and the chosen galaxy. An exchange of linearly polarized radiation between E and M proves to both parties that E is built of charges whereas M is built of monopoles. After that, scientists on M have decided to send a delegation to E. One assignment of this delegation is to carry out an experiment aiming to detect interaction of bound fields of charges with monopoles and vice versa. In so doing, the delegation of M wishes to experimentally find the structure of the unified theory of charges, monopoles and their fields.

Let us take the complementary task and examine this subject theoretically. At the beginning we have two subtheories. One subtheory is Maxwellian electrodynamics of bound fields of charges and of radiation fields. The second subtheory is the dual monopole theory. Both theories are regular. (Irregularities associated with point-like charges are not discussed here.) Now the process where the delegation from M approaches E is continuous. Hence, a change of the subtheories should also be continuous. Now, if one adopts Dirac's implicit assumption stating that bound fields of charges and bound fields of monopoles are identical then he must arrive at a combined charge-monopole theory which contains string irregularity. On the other hand, a transition from the two regular Maxwellian-like subtheories described above to a unified charge-monopole theory having string irregularities cannot be obtain in a continuous process. This conclusion disproves Dirac's irregular monopole theory and justifies the theoretical structure of RCMT. In RCMT, no assumption is used about the physical interactions of the bound fields. The main conclusion derived by RCMT is:

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.

Experimental data support this conclusion. In spite of a very long search for Dirac monopoles, the existence of these particles has not been established. On the other hand, experimental support of RCMT exists already. More details of this point can be found in other items of this overview.