Classical characters of spinor fields in torsion gravity

Luca Fabbri

doi:10.1088/1361-6382/ad8d9e

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arXiv · 2411.09651

Classical characters of spinor fields in torsion gravity

Luca Fabbri

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Abstract

We consider the problem of having relativistic quantum mechanics re-formulated with hydrodynamic variables, and specifically the problem of deriving the Mathisson-Papapetrou-Dixon equations from the Dirac equation. The problem will be answered on a general manifold with torsion and gravity. We will demonstrate that when plane waves are considered the MPD equations acquire the form given in [1], but we will also see that in such a form the MPD equations become trivial.

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Luca Fabbri. 2024-11-14. Classical characters of spinor fields in torsion gravity. https://doi.org/10.1088/1361-6382/ad8d9e

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