Applied Physics and Mathematics Annotation << Back SCIENTIFIC AXIOMATIC OF ELECTRODYNAMICS AND ITS CONSEQUENCES V.A. NIKEROV As the development of ideas of classics (R. Feynman, E. Purcell, I.V. Savelyev, etc.) the electrodynamics scientifi c axiomatic based on Coulomb's law, resulting from the three-dimensional Euclidean geometry and improved by the Lorentz transformations, resulting from the four-dimensional pseudo-Euclidean geometry is analyzed. The advantages and disadvantages of the various variants of the generalized relativistic Coulomb`s law, which is the fundamental law of not only electrostatics, but also electrodynamics, are shown. It is shown that twenty to thirty smallness orders of the square of the ratio of electron drift velocity to the speed of light are compensated by the smallness of the square of the ratio of characteristic electric charges in electrostatics and magnetism. The disadvantages of Maxwell's equations that prevent the development of scientifi c base of electrodynamics are analyzed. Among these disadvantages the complexity, the subjectivity of the magnetic fi eld, the provocation of erroneous associations (such as the pseudo-symmetry of the electric andmagneticfieldsandtheDiracmonopole). Thecomplexityofdouble vector product used in the magnetic force is shown. In fact it should be replaced by the diff erence between the two scalar products, so that one component of magnetic force is directed, as expected, along the straight line connecting the charges, and the other component gives a correction in the direction of motion of the acting charge, and allows for the relativistic change in the properties of space for moving body. The possibility of nonmagnetic electrodynamics creation and of dependence of charge on speed is discussed. Generalized Coulomb force between charges and elementary currents is calculated. The fallacy of the third law of Newton in electrodynamics is demonstrated and explained. The impossibility of the existence of a magnetic charge is shown. To verify the principles and limits of applicability of relativistic mechanics, relatively simple magnetic force researches are suggested - instead of complex researches of bodies moving close to the speed of light speed. The correction to the traditional defi nition of relativistic mechanics is proposed. The possibility of using the Lorentz transformations for the transition to the non-inertial systems moving with enormous accelerations, 20…30 orders of magnitude greater than the acceleration of gravity. Keywords: Coulomb force, Lorentz transformations, Lorentz force, relativistic Coulomb force, fallacy of the third law of Newton in electrodynamics, non-inertial reference system, electrodynamics axiomatic. Contacts: E-mail: n@wswr.ru Pp. 13-22.