A note on the wedge reversion antisymmetry operation and 51 types of physical quantities in arbitrary dimensions

The paper by Gopalan [(2020). Acta Cryst. A76, 318 – 327] presented an enumeration of the 41 physical quantity types in non-relativistic physics, in arbitrary dimensions, based on the formalism of Clifford algebra. Gopalan considered three antisymmetries: spatial inversion, 1, time reversal, 1 ′ , and wedge reversion, 1 † . A consideration of the set of all seven antisymmetries (1, 1 ′ , 1 † , 1 ′ † , 1 † , 1 ′ , 1 ′ † ) leads to an extension of the results obtained by Gopalan. It is shown that there are 51 types of physical quantities with distinct symmetry properties in total.

Source: Acta Crystallographica Section A - June 5, 2023 Category: Chemistry Authors: Fabrykiewicz, P. Tags: multivectors wedge reversion antisymmetry Clifford algebra short communications Source Type: research