Vortons Revisited. Irreducible Inviscid Singular Representation of 3D Fully Developed Turbulence and Related Emergent Physics

Abstract

• Vortons introduced to approximate finite core vortex tubes and pass through Navier Stocks spontaneous singularities/reconnections without any additional assumptions.

• Vortons provide “singular decomposition” of vorticity field.

• Vortons have nonlocal 3D vorticity tails due to solenoid condition for vorticity. Superposition of vorticity in vorton chain produces finite core vortex tubes/filaments.

• They are not weak solutions of Euler or Navier Stokes equations. Being more flexible singularities designed to pass through NS “singular events” based on inviscid singular dissipation.

• Vortons provide an irreducible description of the inviscid attractor of 3D Navier Stocks equation solutions, with the number of vortons scaling with the Reynolds number at hand.

• Magnetic vortons provide irreducible description of magnetic vortex tubes in plasma with reconnections without any additional assumptions.

• Instability of quasi 3D/2D+ vorton collapse provides possible mechanism for explosive universe inflation/first order phase transition.

•3D space nature of our universe as a consequence of instability of 3D vortons collapse.

• “Dark matter” explained as a consequence of frisbee like quasi 3D/2D+ space in galaxies with corresponding stable rotational curves.

• “Dark energy” explained as a emergent result of vorton system 3D self amplification interaction energy “antigravity” effect.

• Probabilistic interpretation of quantum mechanics as a result of smooth test functions of fluid vacuum modified nonlinear Maxwell equations weak solutions.

• Baryon asymmetry explained as a instantaneous snapshot during exponential inflation of quark antiquark annihilation asymmetry/skewness and kurtosis terms in Edgeworth series expansion of instantaneous quantum GUP (generalized uncertainty principle) fluctuations.

• Quantum modified General Relativity QMOGER equations derivation physics proposed.

• Simple Early Bifurcation/Regime shift detection in nonequilibrium nonlinear statistical systems proposed using linear statistical moments/cumulants approximation/equivalents formulas.

Keywords: Vortons, solenoid dipole singularities, 3D turbulence, vortex reconnections, inviscid dissipation, Navier Stokes attractor, instability of 3D vorton collapse, universe inflation, dark matter, dark energy, 3D physical space, emergent antigravity, probabilistic interpretation of quantum mechanics, nonlinear Maxwell equations, baryon asymmetry, Edgeworth series expansion, GUP generalized uncertainty principle, hemispherical power anomaly, statistical moments, skewness and curtosis, quantum modified General Relativity QMOGER .