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Dirac hydrodynamics in 19 forms

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arxiv 2309.00617 v1 pith:FB77BXN7 submitted 2023-09-03 quant-ph gr-qc

classification quant-phgr-qc
keywords fluiddiracdynamicsequationsspinspinorvariablesallow
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abstract

We consider the relativistic spinor field theory re-formulated in polar variables so to allow for the interpretation given in terms of fluid variables. After that the dynamics of spinor fields is converted as dynamics of a special type of spin fluid, we demonstrate that such conversion into dynamical spin fluid is not unique but it can be obtained through $19$ different rearrangements, by explicitly showing the $19$ minimal systems of hydrodynamic equations that are equivalent to the Dirac equations.

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