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Magnetic Vortex Filaments, Universal Scale Invariants, and the Fundamental Constants

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Abstract

An explanation for the observed scale invariants in the universe is presented. Force-free magnetic vortex filaments are proposed to play a crucial role in the formation of superclusters, clusters, galaxies, and stars by initiating gravitational compression. The critical velocities involved in vortex formation are shown to explain the observed constant orbital velocities of clusters, galaxies, and stars. A second scale invariant nr = C where n is particle density and r is average distance between objects, is also noted here and explained by our model. The model predicts a maximum size for magnetic vortices, which is comparable to the dimensions of the observable universe and a density for such vortices which is close to that actually observed, eliminating any theoretical need for missing mass. On this basis, we present an alternative cosmology to that of the "Big Bang," one which provides a much better fit to recent observations of large-scale structure and motion. The model suggests scale invariants between microscopic and cosmological scales, leading to the derivation of a simple analytical expression for the fundamental constants G, mp/me, and e2/hc. We conclude that these expressions indicate the existence of vortex phenomena on the particle level.
... The present author [34] added to the quantitative predictions of this structure-formation model by showing that the filaments had a characteristic velocity vc = (m/M) 3/4 c, which for hydrogen is 1,070 km/s. The concentration of plasma in the filaments can produce masses that can contract further gravitationally, but only if the plasmas are collisional-that is, if the mean free path is less than the radius of the filaments. ...
... The hypothesis that structure formation involves large-scale filamentary currents successfully predicted the existence of magnetic fields large enough to pinch together the largest-scale plasma concentrations. The author [34] predicted the field strength at the largest scales to be around 20 nG. While there still exist no actual measurements of magnetic field at scales of a Gpc, recent studies, [39] of the deflection of EeV cosmic rays show evidence for the existence of fields in excess of 10 nG on scales of at least 50 Mpc. ...
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