Relativity and Cosmology


Special Relativity in Complex Space-Time. Part 2. Basic Problems of Electrodynamics.

Authors: Jozef Radomanski

This article discusses an electric field in complex space-time. Using an orthogonal paravector transformation that preserves the invariance of the wave equation and does not belong to the Lorentz group, the Gaussian equation has been transformed to obtain the relationships corresponding to the Maxwell equations. These equations are analysed for compliance with classic electrodynamics. Although, the Lorenz gauge condition has been abandoned and two of the modified Maxwell's equations are different from the classical ones, the obtained results are not inconsistent with the experience because they preserve the classical laws of the theory of electricity and magnetism contained therein. In conjunction with the previous papers our purpose is to show that space-time of high velocity has a complex structure that differently orders the laws of classical physics but does not change them.

Comments: 26 Pages.

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[v1] 2017-08-01 17:13:46

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