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arXiv 0905.3561gr-qc
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电动力学作为最广义相对论力场的一个特例

Electrodynamics as a particular case of the most general relativistic force field

Stefano Re Fiorentin

摘要:

本文提出了一种新的经典电动力学方法,表明它可以被看作是最广义相对论力场的一个特例。特别是,首先证明了洛伦兹力的结构直接来自于三力变换定律的结构,并证明了E场和B场是可以定义的,它们一般不仅取决于时空坐标,而且还取决于作用于物体的速度。然后证明,如果力场以相对论速度极限c在空间传播,则这些场变得与物体速度无关。最后,场源被引入定义为扰动的领域本身,获得一个广义的麦克斯韦方程组,允许表达的领域中的术语源,如果这些最后是已知的先验。除了场以速度c传播的假设之外,电动力学简单地假设B场的标量源缺失,并且电荷是物质的不变特性,既充当场的源又充当传感特性。所提出的方法可能具有宝贵的教学效果,表明时空结构,定义的狭义相对论假设,是最终负责的电动力学定律的结构。

英文摘要:

A new approach to classical electrodynamics is presented, showing that it can be regarded as a particular case of the most general relativistic force field. In particular, at first it is shown that the structure of the Lorentz force comes directly from the structure of the three-force transformation law, and that E and B fields can be defined, which in general will depend not only on the space-time coordinate, but also on the velocity of the body acted upon. Then it is proved that these fields become independent from the body velocity if the force field propagates throughout space at the relativistic speed limit c. Finally, field sources are introduced by defining them as perturbations of the field itself, obtaining a generalization of Maxwell equations which allow to express the field in terms sources, if these last are known a priori. Electrodynamics follows simply assuming, in addition to the postulate of field propagation at the speed c, that scalar sources of the B field are missing and that electric charge is an invariant characteristic of matter, acting both as source of the field and sensing property. The presented approach may have valuable didactic effectiveness in showing that space-time structure, as defined by Special Relativity postulates, is the ultimate responsible of the structure of electrodynamics laws.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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