伽利略的洛仑兹，演绎地说
Lorentz from Galilei, deductively
摘要：
我认为，在拉格朗日制定的标准，伽利略不变的牛顿力学有微妙的，但具体的迹象{ \em洛伦兹}不变性。事实上，在论文中明确的特定意义上，牛顿力学比伽利略不变量更具有洛伦兹不变量性。所以，狭义相对论可能是通过演绎发现的，在有任何迹象之前-比如麦克斯韦方程组-伽利略相对论必须被修改。为了使这个反历史的练习不那么学术化，我推导出无自旋点粒子之间长程相互作用的某些速度依赖修正。这种纠正具有普遍性;特别是，它们不依赖于介导这种相互作用的场的自旋，也不依赖于这种场的耦合强度。我讨论了广义相对论的后牛顿展开的潜在应用。
英文摘要：
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.
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。
