Spin and New Physical Field

TL;DR

This paper proposes a theory where fermion interactions with gravity are mediated by a torsion field, which is treated as a potential similar to electromagnetic and gravitational fields, and suggests experiments to test this theory.

Contribution

It introduces a covariant Lagrangian for a torsion-based gravitational field and derives field equations describing its interactions with known physical fields.

Findings

Derived field equations for torsion interactions

Proposed experimental tests for the torsion field

Established a covariant Lagrangian framework

Abstract

It is shown that the interactions between the fermion and the gravitational fields are due to the torsion field. The torsion field is considered to be a potential one, like the electromagnetic and gravitational fields. The field equations are obtained, which describe the interactions of the torsion field with the conventional physical fields. The general covariant Lagrangian of the gravitational field, based on the torsion field, is derived. Experiment is proposed to test the theory.