Relation of a Unified Quantum Field Theory of Spinors to the Structure of General Relativity

TL;DR

This paper proposes a unified quantum field theory of spinors that derives the structure of spacetime and general relativity from fundamental matter fields, linking spinor properties to spacetime geometry.

Contribution

It introduces a novel approach where spacetime geometry emerges from a fundamental spinor-based quantum field theory, unifying matter fields and gravity.

Findings

Spacetime structure is constructed from a spinor basis within matter fields.

The Minkowski signature relates to the spinor space's symplectic structure.

The equivalence principle and background independence are derived from fundamental spinor fields.

Abstract

Based on a unified quantum field theory of spinors assumed to describe all matter fields and their interactions we construct the space time structure of general relativity according to a general connection within the corresponding spinor space. The tetrad field and the corresponding metric field are composed from a space time dependent basis of spinors within the internal space of the fundamental matter field. Similar to twistor theory the Minkowski signature of the space time metric is related to this spinor nature of elementary matter, if we assume the spinor space to be endowed with a symplectic structure. The equivalence principle and the property of background independence arise from the fact that all elementary fields are composed from the fundamental spinor field. This means that the structure of space time according to general relativity seems to be a consequence of a fundamental theory of matter fields and not a presupposition as in the usual setting of relativistic quantum field theories.