Towards unified spinor fields: confinement of gravitons on a dS background

Abstract

We propose a unified theory for spinor fields on extended Weyl manifolds taking into account self-interactions to obtain the relativistic dynamics on a general curved Riemannian background as a continuation of the relativistic quantum geometry program, recently introduced. We focus our attention separately on both massless and matter fields. We study an example of confined gravitons on a de Sitter background at Planckian scales.