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The exact proof that Maxwell equations with the 3D E and B are not Lorentz covariant equations. The new Lorentz invariant field equations

机译：麦克斯韦方程与3D E和B的确切证明不是   洛伦兹协变方程。新的洛伦兹不变场方程

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摘要

In this paper it will be exactly proved both in the geometric algebra andtensor formalisms that the usual Maxwell equations with the three-dimensional(3D) vectors of the electric and magnetic fields, E{bold} and B{bold}respectively, are not, contrary to the general opinion, Lorentz covariantequations. Consequently they are not equivalent to the field equations with theobserver independent quantities, the electromagnetic field tensor Fsup{ab}(tensor formalism) or with the bivector field F (the geometric algebraformalism). Different 4D algebric objects are used to represent the standardobserver dependent and the new observer independent electric and magneticfields. The proof of a fundamental disagreement between the standardelectromagnetism and the special relativity does not depend on the character ofthe 4D algebric object used to represent the electric and magnetic fields. TheLorentz invariant field equations are presented with 1-vectors E and B,bivectors Esub{HL} and Bsub{HL} and the abstract tensors, the 4-vectors Esup{a}and Bsup{a}. All these quantities are defined without reference frames. Suchfield equations are in a complete agreement with experiments.
机译：在本文中，无论是几何代数还是张量形式，都可以精确地证明，分别具有电场和磁场的三维矢量（3D）E {bold}和B {bold}的常规Maxwell方程不是，与一般观点相反，洛伦兹协变量。因此，它们不等于具有观测者独立量的场方程，电磁场张量Fsup {ab}（张量形式主义）或双矢量场F（几何代数形式）。不同的4D代数对象用于表示标准观察者相关的电场和新观察者独立的电场和磁场。标准电磁学与狭义相对论之间存在根本分歧的证据并不取决于用来表示电场和磁场的4D代数对象的特征。用1个向量E和B，双向量Esub {HL}和Bsub {HL}以及抽象张量4个向量Esup {a}和Bsup {a}表示Lorentz不变场方程。所有这些数量的定义都没有参考系。这样的场方程与实验完全一致。

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    Ivezic, Tomislav;

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  • 年度 2003
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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