Abstract
On the basis of an exact solution for the field of a charge in a uniformly accelerated noninertial frame of reference (NFR) and formulated Equivalent Situation Postulate the nonlinear electrostatic theory of bound charges has been constructed. Proposed method is outside of the flat space-time, however the curvature is not directly connected with the Einstein gravitational theory. The method proposed eliminates divergence of the proper energy and makes classical electrodynamics consistent at any sufficiently small distances.
Highlights
The main difficulty of classic theory of electromagnetic field is the contradiction between assumption of charged particles stippling and their infinite own energy
The 4-acceleration, the strain rate tensor and the tensor of the angular velocity are the characteristics of the continuum in the four-dimensional space-time. 4-acceleration is entered into the law of motion and at the known plane metric the field of the 4-velocity and the main medium tensors are determined by the integration of the equation of motion
International Journal of Recent advances in Physics (IJRAP) Vol.3, No.2, May 2014 or which coincides with the expression for the field energy density outside the charged sphere in Minkowski space
Summary
The main difficulty of classic theory of electromagnetic field is the contradiction between assumption of charged particles stippling and their infinite own energy. The transition to Lagrange co-moving frame of reference (NRF) is connected in the general case with the construction of three-dimensional "physical space of the observers orthogonal to the world lines of the basis particles". In [8,9,10] the original formula for the known Bell paradox [11,12] taking into account the bending of the spatial length has been obtained It has been proved in [13] that the transition to the hard globally uniformly accelerated NRF results in cuvature of space-time. The identical physical situation, in which the charges are (identical constraint forces), results in the field with different symmetry! We try to solve this paradox in the present paper
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