Extended real Clifford - Dirac algebra and bosonic symmetries of the Dirac equation with nonzero mass - Mathematical PhysicsReport as inadecuate




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Abstract: The 64-dimensional extended real Clifford - Dirac ERCD algebra isintroduced. On this basis the new pure matrix symmetries of the Dirac equationin Foldy - Wouthuysen representation are found: i the 32-dimensional A32algebra, which is proved to be maximal pure matrix symmetry of this equation,ii two different realizations of the 1-2, 0+0, 1-2 representation of theS1,3 algebra, iii reducible tensor-scalar 1, 0+0, 0 and irreduciblevector 1-2,1-2 bosonic S1,3-symmetries. Finally, spin 1 Poincare symmetriesboth for the Foldy - Wouthuysen and standard Dirac equations with nonzero massare found.



Author: V.M.Simulik, I.Yu.Krivsky

Source: https://arxiv.org/







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