  We examine a generic field theory in which the field particle has two
couplings. It is of particular interest when these are the electroweak, e, and
the hypothetical magnetoweak, g. The new field operators are obtained by
replacing the field operators $\Psi (x)$ of the standard model or of similar
models by $\tilde{\Psi} (x) D^j_q (m,m')$ where $ D^j_q (m,m')$ is an element
of the $2j+1$ dimensional representation of the SLq(2) algebra, which is also
the knot algebra. The field is assumed to exist in two phases distinguished by
two values of $q$: $q_e = \frac{e}{g}$ and $q_g = \frac{g}{e}$ which label the
electroweak and magnetoweak phases respectively.
  We assume that the observed leptons and quarks are composed of e-preons and
are in agreement with the observed charge spectrum of leptons and quarks. It is
now proposed that there is also a g-phase where g-leptons and g-quarks are
composed of g-preons. It is assumed that the g-charge is very large compared to
the e-charge and the mass of the g charged particle is even larger since the
mass of all of these particles is partially determined by the eigenvalues of
$\bar{D}^j_q (m,m') D_q^j (m,m')$, a polynomial in $q$, that multiplies the
Higgs mass term and where \begin{equation*} \frac{q_g}{q_e} = \left (
\frac{\hbar c}{e^2} \right)^2 \approx (137)^2. \end{equation*}
  These values of $q$ indicate that particles in the g-phase are much more
massive, they should be harder to produce or to observe.
