论文标题
在电动力相互作用的对称性上
On the symmetries of electrodynamic interactions
论文作者
论文摘要
高斯之后的关系电磁主义的发展似乎在1870年左右停止。麦克斯韦（Maxwell）认识到关系电磁学在数学上与他自己的公式相等，并呼吁解释为什么如此不同的概念有如此大的共同点。我们重建由无任意性原则指导的关系电磁主义。洛伦兹（Lorenz）的电磁波概念以及洛伦兹（Lorentz）提出的“最小动作原理”足以导致麦克斯韦方程，连续性方程和洛伦兹的力量。我们表明，电磁学中必须还有两个对称性：一种描述性的表达源/检测器关系，以及通过以不同（常数）相对速度移动的检测器对同一来源的另一个相关感知。 Poincar {é}组通过不同的接收器联系了感知的字段，Lorentz促进了弹性源/检测器感知。 We answer Maxwell's philosophical question showing how similar theories can be abduced using different inferred entities.绑架的每种形式都意味着对理论结构的解释和促进。
The development of relational electromagnetism after Gauss appears to stop around 1870. Maxwell recognised relational electromagnetism as mathematically equivalent to his own formulae and called for an explanation of why so different conceptions have such a large part in common. We reconstruct relational electromagnetism guided by the No Arbitrariness Principle. Lorenz' idea of electromagnetic waves, together with the "least action principle" proposed by Lorentz are enough to derive Maxwell's equations, the continuity equation and the Lorentz' force. We show that there must be two more symmetries in electromagnetism: a descriptive one expressing source/detector relations, and another relating perceptions of the same source by detectors moving with different (constant) relative velocities. The Poincar{é} group relates perceived fields by different receivers and Lorentz boosts elate source/detector perceptions. We answer Maxwell's philosophical question showing how similar theories can be abduced using different inferred entities. Each form of abduction implies an interpretation and a facilitation of the theoretical construction.
