Derivation of Einstein-Cartan Theory from General Relativity

This article presents a derivation of Einstein Cartan theory (EC) from general relativity. Part one derives translational holonomy around one Kerr mass and an integral version of torsion as holonomy/area with no additional assumptions or parameters. Part two computes the classical continuum limit of distributions of Kerr masses that converge to a continuum with constant densities of mass, angular momentum (a.m.), and charge. The limit generates torsion and the spin-torsion relationship of EC. This construction of curvature and torsion is equivalent to definition of curvature with Cartan forms on fiber bundles. The continuum limit assumes inequalities relating mass, a.m., loop radius, and charge. The inequality a^2 << r^2 restricts the derivation to scales larger than that of atoms. Advantages of EC include accommodating exchange of classical intrinsic and orbital a.m. (as in turbulence), and very likely providing a better classical limit for quantum gravity, where treatment of spin is more important than in classical physics. According to other research, EC generates inflation-like expansion in high density Friedmann cosmologies and eliminates singularities in Schwarzschild Kerr models.