Fundamental Theory of Torsion Gravity

In this work we present the general differential geometry of a background in which space-time has both torsion and curvature with internal symmetries being described by gauge fields, that is equipped to couple spinorial matter fields having spin energy as well currents: will turn out be equivalent an axial-vector massive Proca field because spinor can decomposed its two chiral projections, thought mediator keeps spinors stable configurations; justify claim studying some limiting situations. We then proceed second chapter, where material presented first chapter applied specific systems order solve problems seems affect theories without torsion: hence problem gravitational singularity formation positivity are most important, they also lead way for discussion about Pauli exclusion principle concept macroscopic approximation. third final going investigate light dynamics open standard models particles cosmology would not easily solvable otherwise.