# Noncommutative Gravity and the Standard-Model Extension

## TL;DR

This paper demonstrates that noncommutative gravity can be incorporated into the Standard-Model Extension framework, expanding the scope of noncommutative geometry in theoretical physics beyond the Standard Model.

## Contribution

It shows that noncommutative gravity, like noncommutative QED, can be formulated within the SME framework, providing a unified approach to these theories.

## Key findings

- Noncommutative QED fits within the SME framework.
- Noncommutative gravity can also be incorporated into the SME.
- The work broadens the applicability of the SME to include noncommutative gravity.

## Abstract

Noncommutative geometry has become popular mathematics for describing speculative physics beyond the Standard Model. Noncommutative QED has long been known to fit within the framework of the Standard-Model Extension (SME). We argue in this work that noncommutative gravity also fits within the SME framework.