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

## TL;DR

This paper develops a unified theory for spinor fields on extended Weyl manifolds, incorporating self-interactions to describe relativistic dynamics on curved backgrounds, and examines graviton confinement on a de Sitter space at Planck scales.

## Contribution

It introduces a unified framework for spinor fields with self-interactions on Weyl manifolds, extending relativistic quantum geometry to curved spacetimes and analyzing graviton confinement.

## Key findings

- Confined gravitons on de Sitter background at Planckian scales.
- Unified treatment of massless and matter spinor fields.
- Extension of relativistic quantum geometry to curved manifolds.

## Abstract

We propose an 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 continuation of the Relativistic Quantum Geometry program, recently introduced. We focuss our attention separately on both, massless and matter fields. We study an example of confined gravitons on a de Sitter (dS) background at Planckian scales.