Mathematical Physics

    

Vortons in Fluid Mechanics, Magnetohydrodynamics, and Cosmology

Authors: Michael Isaac Aksman

The 3D Euler equations of incompressible inviscid fluid mechanics develop singularities on timescales on the order of vortex rotations. Solutions to the 3D Navier-Stokes equations for incompressible viscous flow are smooth for all time, but they bifurcate and are not unique [6-8]. The 3D Navier-Stokes equations have an inviscid attractor that exhibits inviscid turbulence and dissipation ref.[1- 5, 10]. The simplest solenoid vortex singularity is the vorton ref.[1-5]. Vortex tubes may be represented as superposition of vortons ref.[1- 5]. Magnetic vorton tubes reconnect ref.[3-5,14].The instability of vorton collapse in 3D and quasi 3D ref.[3-5] may explain the dimensionality of physical space, the dynamics of galaxies in the Universe, dark matter, and dark energy ref.[12, 15].

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[v1] 2023-04-14 01:47:16

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