论文标题
来自加利利的洛伦兹，演绎
Lorentz from Galilei, deductively
论文作者
论文摘要
我认为，在拉格朗日的标准配方中，galilei-invariant牛顿力学有{\ em lorentz}不变性的微妙但具体的迹象。实际上，从本文中明确的特定意义上，牛顿力学比galilei-Invariant更具洛伦兹的不变性。因此，在有任何迹象之前，可以品尝地发现特殊的相对论 - 例如麦克斯韦方程式 - 必须修改Galilei相对论。为了使这种反历史运动减少学术性，我将某些依赖性速度校正得出了无旋点粒子之间的长距离相互作用。这样的校正是普遍的；特别是，它们不取决于介导这种相互作用的场的自旋或这种场的强烈耦合。我讨论了牛顿后一般相对论的潜在应用。
I argue that in the Lagrangian formulation of standard, Galilei-invariant Newtonian mechanics there are subtle but concrete signs of {\em Lorentz} invariance. In fact, in a specific sense made explicit in the paper, Newtonian mechanics is more Lorentz-invariant than Galilei-invariant. So, special relativity could have been discovered deductively, before there were any indications---such as Maxwell's equations---that Galilei relativity had to be modified. To make this anti-historical exercise less academic, I derive certain velocity-dependent corrections to long-range interactions between spinless point particles. Such corrections are universal; in particular, they do not depend on the spin of the field mediating such interactions or on how strongly coupled such a field is. I discuss potential applications to the post-Newtonian expansion of general relativity.
