Galilee-lorentz sygroup in relativistic electrodynamics
To prove that relaxation processes of the frequency and the velocity change in relativistic electrodynamics are coordinated with the parametrical system of the non isomorphic groups, which is named Galilee-Lorentz sygroup. To investigate the properties of the Galilee-Lorentz sygroup, containing these groups.
Physical aspects of the new approach
In Einstein kinematical model of the relativistic electrodynamics effects the behavior of the field is kinematical coordinated with the change of its frequency. The system of kinematical conditions is transitive under the influence of the Lorentz group.
In my dynamic model of the relativistic effects in electrodynamics the behavior of the field velocity is dynamical coordinated with the change of its frequency. Changes occur in the form of the relaxation process depending of the rate of refraction n and of the rate of relation w.
In this variant the phenomenon parameters vary from some initial values which symmetry at w=0 corresponds to the group Galilee, to some final values which correspond at w=1 to the Lorentz group.
Galilee-Lorentz sygroup gives dynamic dependence of the velocity from the velocity v if magnitudes n , w are changing:
Mathematical aspects of the approach
In a considered case the model of dynamic process symmetry connects the pair of the non isomorphic symmetries. In electrodynamics without the velocity limit this connection is provided by means of the rate of the refraction n and the rate of the relation w.
We can take the generalised transformations of coordinate differentials:
They include the relative velocity for the pair of the observers, the rate of the refraction and the rate of the relation.........Full text→