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arXiv · 2603.04326

A Hydrodynamics Formulation for a Nonlinear Dirac Equation

Joan Morrill i Gavarró·Michael Westdickenberg
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Abstract

We derive a hydrodynamics formulation for a modified Dirac equation with a nonlinear mass term that preserves the homogeneity of the original Dirac equation. The nonlinear Dirac equation admits a symmetric split into the left and right-handed spinor components. It is formulated using Clifford algebra tools. We prove global existence for a regularized equation.

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Joan Morrill i Gavarró, Michael Westdickenberg. 2026-03-04. A Hydrodynamics Formulation for a Nonlinear Dirac Equation. https://arxiv.org/abs/2603.04326

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