# A quaternionic unification of electromagnetism and hydrodynamics - Physics > General Physics

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Abstract: We have derived energy conservation equations from the quaternionic Newton-slaw that is compatible with Lorentz transformation. This Newton-s law yieldsdirectly the Euler equation and other equations governing the fluid motion.With this formalism, the pressure contributes positively to the dynamics of thesystem in the same way mass does. Hydrodynamic equations are derived fromMaxwell-s equations by adopting an electromagnetohydrodynamics EMH analogy.In this analogy the hydroelectric field is related to the local acceleration ofthe fluid and the Lorentz gauge is related to the incompressible fluidcondition. An analogous Lorentz gauge in hydrodynamics is proposed. We haveshown that the vorticity of the fluid is developed whenever the particle localacceleration of the fluid deviates from the velocity direction. We have alsoshown that Lorentz force in electromagnetism corresponds to Euler force influids. Moreover, we have obtained Gauss-s, Faraday-s and Ampere-s -like lawsin Hydrodynamics.

Author: ** Arbab I. Arbab**

Source: https://arxiv.org/