We have made an attempt to reformulate the generalized field equation of
dyons in terms of octonion variables. Octonion forms of generalized potential
and current equations are discussed in consistent manner. It has been shown
that due to the non associativity of octonion variables it is necessary to
impose certain constraints to describe generalized octonion electrodynamics in
manifestly covariant and consistent manner
We have made an attempt to develop the quaternionic formulation of Yang -
Mill's field equations and octonion reformulation of quantum chromo dynamics
(QCD). Starting with the Lagrangian density, we have discussed the field
equations of SU(2) and SU(3) gauge fields for both cases of global and local
gauge symmetries. It has been shown that the three quaternion units explain the
structure of Yang- Mill's field while the seven octonion units provide the
consistent structure of SU(3)_{C} gauge symmetry of quantum chromo dynamics
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