Quaternionic approach to dual Magneto-hydrodynamics of dyonic cold plasma

TL;DR

This paper develops a quaternionic mathematical framework for dual magneto-hydrodynamics in dyonic cold plasma, incorporating new equations for dual fields, Dirac-Maxwell relations, and wave analogies, ensuring invariance under key symmetries.

Contribution

It introduces a novel quaternionic formulation for dual magneto-hydrodynamics of dyonic plasma, including new dual field equations and invariance properties.

Findings

Derived quaternionic dual field equations for dyonic plasma.

Formulated quaternionic Dirac-Maxwell equations for the system.

Established an analogy of Alfven wave in dyonic cold plasma.

Abstract

The dual magneto-hydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopoles. In this paper, we formulate the quaternionic dual fields equations, namely, the hydro-electric and hydro-magnetic fields equations which are an analogous to the generalized Lamb vector field and vorticity field equations of dyonic cold plasma fluid. Further, we derive the quaternionic Dirac-Maxwell equations for dual magneto-hydrodynamics of dyonic cold plasma. We also obtain the quaternionic dual continuity equations that describe the transport of dyonic fluid. Finally, we establish an analogy of Alfven wave equation which may generate from the flow of magnetic monopoles in the dyonic field of cold plasma. The present quaternionic formulation for dyonic cold plasma is well invariant under the duality, Lorentz and CPT transformations.