Electromagnetic Radiations as a Fluid Flow

TL;DR

This paper models electromagnetic radiation as a fluid-like medium by combining Maxwell's and Euler's equations, leading to new solutions including vortex structures and potential electron models.

Contribution

It introduces a novel fluid dynamics approach to electromagnetism, deriving explicit Einstein solutions and vortex configurations from combined equations.

Findings

Electromagnetic waves can form vortex structures.

Explicit Einstein solutions for wave phenomena are obtained.

Potential modeling of electrons as vortex rings.

Abstract

We combine Maxwell's equations with Eulers's equation, related to a velocity field of an immaterial fluid, where the density of mass is replaced by a charge density. We come out with a differential system able to describe a relevant quantity of electromagnetic phenomena, ranging from classical dipole waves to solitary wave-packets with compact support. The clue is the construction of an energy tensor summing up both the electromagnetic stress and a suitable mass tensor. With this right-hand side, explicit solutions of the full Einstein's equation are computed for a wide class of wave phenomena. Since our electromagnetic waves may behave and interact exactly as a material fluid, they can create vortex structures. We then explicitly analyze some vortex ring configurations and examine the possibility to build a model for the electron.