论文标题

四维图片I:点粒子的相对论力学的教学价值

The pedagogical value of the four-dimensional picture I: Relativistic mechanics of point particles

论文作者

Kosyakov, B. P.

论文摘要

我们概述了相对论力学的两个主题:(i)允许世界线的集合,以及(ii)动力学控制点粒子的相对论定律的起源。我们表明:(i)粒子和田地的经典理论中允许的世界界线是非常简单的几何对象,而不是相关的三维轨迹,(ii)牛顿的第二定律既不需要修改也不需要概括,它只能平稳地嵌入到Minkowski Spacement的四维几何学上,以产生动力学律,以使其具有元素的范围。

We outline two subjects of relativistic mechanics: (i) the set of allowable world lines, and (ii) the origin of the relativistic law of dynamics governing point particles. We show that: (i) allowable world lines in the classical theory of particles and fields are quite simple geometric objects as opposed to their associated three-dimensional trajectories, and (ii) Newton's second law requires neither modification nor generalization, it should be only smoothly embedded in the four-dimensional geometry of Minkowski spacetime to yield the dynamical law for relativistic particles.

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