精确证明了三维E和B的麦克斯韦方程组不是洛伦兹协变方程。新的洛伦兹不变场方程
The exact proof that Maxwell equations with the 3D E and B are not Lorentz covariant equations. The new Lorentz invariant field equations
摘要：
本文从几何代数和张量形式两个方面严格证明了通常的三维电场矢量E{bold}和三维磁场矢量B{bold}的麦克斯韦方程组不是洛伦兹协变方程组。因此，它们不等价于具有观察者独立量的场方程，电磁场张量Fsup{ab}（张量形式主义）或具有双向量场F（几何代数形式主义）。不同的4D代数对象被用来表示标准的观察者依赖和新的观察者独立的电场和磁场。标准电磁学和狭义相对论之间根本不一致的证明并不依赖于用来表示电场和磁场的四维代数对象的特征。用1-向量E和B，双向量Esub{HL}和Bsub{HL}以及抽象张量4-向量Esup{a}和Bsup{a}建立了Lorentz不变场方程。所有这些量都是在没有参考系的情况下定义的。这样的场方程与实验完全一致。
英文摘要：
In this paper it will be exactly proved both in the geometric algebra and tensor 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 covariant equations. Consequently they are not equivalent to the field equations with the observer independent quantities, the electromagnetic field tensor Fsup{ab} (tensor formalism) or with the bivector field F (the geometric algebra formalism). Different 4D algebric objects are used to represent the standard observer dependent and the new observer independent electric and magnetic fields. The proof of a fundamental disagreement between the standard electromagnetism and the special relativity does not depend on the character of the 4D algebric object used to represent the electric and magnetic fields. The Lorentz 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. Such field equations are in a complete agreement with experiments.
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