Forty-One Types of Physical Quantities in Arbitrary Dimensions

Venkatraman Gopalan

doi:10.1107/s205327332000217x

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arXiv · 1910.09286

Forty-One Types of Physical Quantities in Arbitrary Dimensions

Venkatraman Gopalan

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Abstract

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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Venkatraman Gopalan. 2019-09-30. Forty-One Types of Physical Quantities in Arbitrary Dimensions. https://doi.org/10.1107/s205327332000217x

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