# Bilocal fields and gravity

## TL;DR

This paper demonstrates that a simple bilocal field theory, incorporating short-range action-at-a-distance effects, can naturally give rise to gravitational degrees of freedom, suggesting gravity may originate from bilocality.

## Contribution

It shows that bilocal field theories can reproduce gravitational perturbations, providing a novel perspective on the origin of gravity from non-local field interactions.

## Key findings

- Bilocal degrees of freedom can be interpreted as gravitational perturbations.
- Solutions at linear and second order include spacetime fluctuations.
- Bilocality may be fundamental to the origin of gravity.

## Abstract

We study a classical bilocal field theory perturbatively up to second order. The chosen theory is the simplest which incorporates action-at-a-distance, while keeping non-local effects short-ranged. We show that the new degrees of freedom introduced by bilocality can be interpreted as gravitational degrees of freedom in the following sense: solutions of the bilocal system at linear and second order contain as a subset, gravitational perturbations (spacetime fluctuations) also to that order. In other words, gravity can be thought to originate in a bilocal field theory. We examine potential implications.