# Gravity with spin and electromagnetism with a nonsymmetric metric tensor

## TL;DR

This paper explores a unified framework where the antisymmetric part of the metric tensor acts as a potential for the spin field, linking gravity, electromagnetism, and spin through a nonsymmetric metric approach.

## Contribution

It introduces a theory where the antisymmetric metric component represents the spin potential and demonstrates the theory's reduction to known physics in the weak field limit.

## Key findings

- Antisymmetric metric part acts as spin potential
- Weak field limit recovers symmetric metric with torsion
- Electromagnetic field arises from gauge invariance

## Abstract

It is shown the antisymmetric part of the metric tensor is the potential for the spin field. Various metricity conditions are discussed and comparisons are made to other theories, including Einstein's. It is shown in the weak field limit the theory reduces to one with a symmetric metric tensor and totally antisymmetric torsion. It is also shown, due to gauge invariance, the electromagnetic field must be present.