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It is shown here that classical electrodynamics has some new points for development: based upon its spinor form and the active 0-cohomologies for the connections between the fields and inductions.

The dynamical influence of the classical experimental equipment at the electromagnetic field is described by the class of the Lorentz's transformations dependent on 0-cohomology group w(x). They act in the space of events SE, which is additional to the Newton's space.

This work suggests a physical mechanism of the dynamical transformation of the field inertia for Maxwell's electrodynamics without the velocity restriction. It is found, that two scalar cohomological groups govern the field inertia.

It is shown that Maxwell's electrodynamics without the velocity restriction has for the rest and the moving media an ?isometry? group. This the Lorentz group with generators and parameters depending on its 0-cohomologies, which governs the dynamics of the frequency and the velocity of an electromagnetic field in Newtonian space-time.

It is shown that Maxwell's electrodynamics without the velocity restriction has the spinor form for the group V(4), which is (U(1) x SU(2)) x (U(1) x SU(2)). In this model, Newton's space-time is used with Minkowski's space-time and with Euclid's super-light space-time, which follow from the dynamic equations and the connections between the fields and inductions.

This work finds a previously unknown dynamic mechanism for the transformation of the velocity that specifies the external inertia of an electromagnetic field into a proper frequency of the field. It is shown that a particle of non-zero rest mass can be limited to a speed equal to light speed in vacuum.

This work suggests for Maxwell's electrodynamics in moving media a generalization that 1) does not resort to Einstein?s special relativity theory, 2) bases its calculations and experiments on Newton's space, 3) naturally incorporates superluminal velocities and indicates the requirements for the latter to be discovered, and 4) describes in a unified manner the classical experiments of Bradley, Fizeau, Michelson, and Doppler.