Magnitude of 4-force within Minkowski’s space-time and the prohibition against transtime interactions
Keywords:special theory of relativity, Minkowski’s space-time, Minkowski’s force, zero 4-vector, transtime interactions
There is a consideration of possibility for transtime interactions of the particles located at different positions in the timelike dimension within Minkowski’s space-time. We introduce a concept of a 4-interval ?S (having nonzero time component (distance) ?) between the particles moving within Minkowski’s space-time. We also introduce a concept of transtime interactions of the aforesaid particles. It’s noted, that Minkowski’s force 4-vector in relativistic mechanics does not exercise the function, equal to the one that 3D space vector of force fulfills in the principal law of motion within the classical mechanics. It’s shown, that the force 4-vector must be introduced as a zero 4-vector of a special kind. A unique feature of such a force vector is in occurrence of a nonzero space component and a zero time component Ft ? 0. This implies the prohibition against transtime interactions within the flat Minkowski’s space-time.
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