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arXiv physics/0406158physics.ed-phphysics.gen-ph
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物理学导论中的相对论

Relativity in Introductory Physics

William E. Baylis

摘要:

在爱因斯坦阐述了狭义相对论一个世纪之后,现在是时候将其纳入物理课程的早期了。这里所提倡的方法采用了向量形式主义的简单代数扩展,生成闵可夫斯基时空,显示协变对称性,并在没有矩阵或张量的情况下计算助推和空间旋转。该方法是一个全面的几何代数的一部分,在物理学的许多领域的应用,但只有一个直观的子集是需要在入门级。这里给出的方法和它的一些扩展,并说明了时空几何的见解。

英文摘要:

A century after its formulation by Einstein, it is time to incorporate special relativity early in the physics curriculum. The approach advocated here employs a simple algebraic extension of vector formalism that generates Minkowski spacetime, displays covariant symmetries, and enables calculations of boosts and spatial rotations without matrices or tensors. The approach is part of a comprehensive geometric algebra with applications in many areas of physics, but only an intuitive subset is needed at the introductory level. The approach and some of its extensions are given here and illustrated with insights into the geometry of spacetime.

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。

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