English

Jackson's paradox and its resolution by the four-dimensional geometric quantities

General Physics 2007-05-23 v1

Abstract

In this paper it is shown that the real cause of Jackson's paradox is the use of three-dimensional (3D) quantities, e.g., E\mathbf{E}, % \mathbf{B}, F\mathbf{F}, L\mathbf{L}, T\mathbf{T}, their transformations and equations with them. The principle of relativity is naturally satisfied and there is no paradox when the physical reality is attributed to the 4D geometric quantities, e.g., to the 4D torque NN (bivector) or, equivalently, to the 4D torques NsN_{s} and NtN_{t} (1-vectors), which together contain the same physical information as the bivector NN.

Keywords

Cite

@article{arxiv.physics/0608054,
  title  = {Jackson's paradox and its resolution by the four-dimensional geometric quantities},
  author = {Tomislav Ivezic},
  journal= {arXiv preprint arXiv:physics/0608054},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T19:11:53.547Z