只有一个公理的电磁学的公理化几何表述：双矢量场F的场方程及对Trouton-Noble实验的解释
Axiomatic geometric formulation of electromagnetism with only one axiom: the field equation for the bivector field F with an explanation of the Trouton-Noble experiment
摘要：
在本文中，我们提出了一个公理化的，几何的电磁公式，只有一个公理：法拉第双矢量场F的场方程。这种F场公式是一个独立的、完整的和一致的公式，它既不需要电场和磁场，也不需要电磁势。所有的物理量都是在没有参考系的情况下定义的，绝对量，即，它们是几何四维（4D）量，或者当引入某个基时，每个量被表示为包括分量和基的基于4D坐标的几何量。从F的场方程直接导出了应力-能量矢量T（n）（1-矢量）、能量密度U（标量）、坡印廷矢量S和动量密度g（1-矢量）、角动量密度M（双矢量）和洛伦兹力K（1-矢量）的新的与观察者无关的表达式。局部守恒律也直接从该场方程导出。给出了F场作为四维绝对量的1-矢量拉格朗日量;相互作用项用F表示，而不是像通常那样用A表示。它表明，这种几何配方是在一个完全符合Trouton-Noble实验。
英文摘要：
In this paper we present an axiomatic, geometric, formulation of electromagnetism with only one axiom: the field equation for the Faraday bivector field F. This formulation with F field is a self-contained, complete and consistent formulation that dispenses with either electric and magnetic fields or the electromagnetic potentials. All physical quantities are defined without reference frames, the absolute quantities, i.e., they are geometric four dimensional (4D) quantities or, when some basis is introduced, every quantity is represented as a 4D coordinate-based geometric quantity comprising both components and a basis. The new observer independent expressions for the stress-energy vector T(n)(1-vector), the energy density U (scalar), the Poynting vector S and the momentum density g (1-vectors), the angular momentum density M (bivector) and the Lorentz force K (1-vector) are directly derived from the field equation for F. The local conservation laws are also directly derived from that field equation. The 1-vector Lagrangian with the F field as a 4D absolute quantity is presented; the interaction term is written in terms of F and not, as usual, in terms of A. It is shown that this geometric formulation is in a full agreement with the Trouton-Noble experiment.
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