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:
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:
Here and 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.
