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arXiv 1910.09286physics.gen-ph
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四十一种任意维的物理量

Forty-One Types of Physical Quantities in Arbitrary Dimensions

Venkatraman Gopalan

摘要:

在Clifford代数的形式下,非相对论物理学中表示任意维物理量的多重向量有41种。分类是基于三个对称操作的一般多向量,即空间反演,时间反演,和第三个,在这里介绍,楔形反转的行动。结果表明,轴性和手征的特点是不好的基础上分类多向量在任意尺寸,并引入楔形反转将允许这样的分类。这些多矢量从非相对论物理的例子。

英文摘要:

It is shown that there are 41 types of multivectors representing physical quantitites in non-relativistic physics in arbitrary dimensions within the formalism of Clifford Algebra. The classification is based on the action of three symmetry operations on a general multivector, namely, spatial inversion, time reversal, and a third that is introduced here, wedge reversion. It is shown that the traits of axiality and chirality are not good basis for classifying multivectors in arbitrary dimensions, and that introducing wedge reversion would allow for such a classification. Examples of these multivectors from non-relativistic physics are presented.

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