论Relativistic Mass的滥用与使用
On the Abuse and Use of Relativistic Mass
摘要:
本文讨论了速度相关质量的概念,即相对论质量,发现它与狭义相对论的几何表述不一致。这并不是一个新的结果;然而,许多人继续使用这个概念,有些人甚至试图将它作为狭义相对论的基础。有人认为,经常持有的观点,公式的相对论与不相对论质量是等价的是不正确的。作为一个启发式的装置,对第一次学习者的初步研究表明,当概念被引入时,误解可能会发展。为了衡量使用相对论质量的范围和性质,对相对论文献进行了调查。对这个概念的不同的、有时自相矛盾的使用表明,在相对论的表述上缺乏明确的共识。由于几何学是相对论的所有现代表述的核心,因此再次敦促人们放弃在各个层次上使用这个概念。
英文摘要:
The concept of velocity dependent mass, relativistic mass, is examined and is found to be inconsistent with the geometrical formulation of special relativity. This is not a novel result; however, many continue to use this concept and some have even attempted to establish it as the basis for special relativity. It is argued that the oft-held view that formulations of relativity with and without relativistic mass are equivalent is incorrect. Left as a heuristic device a preliminary study of first time learners suggest that misconceptions can develop when the concept is introduced without basis. In order to gauge the extent and nature of the use of relativistic mass a survey of the literature on relativity has been undertaken. The varied and at times self-contradicting use of this concept points to the lack of clear consensus on the formulation of relativity. As geometry lies at the heart of all modern representations of relativity, it is urged, once again, that the use of the concept at all levels be abandoned.
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