On the no-gravity limit of gravity

TL;DR

This paper explores how the concept of Relative Locality could emerge in the limit where gravity's strength approaches zero, transforming gravity into a topological field theory and affecting particle dynamics.

Contribution

It proposes that the no gravity limit of gravity leads to a topological BF theory where particle interactions may be deformed, offering new insights into quantum gravity regimes.

Findings

Relative Locality may arise in the no gravity limit

Gravity becomes a topological BF theory in this limit

Discussion of alternative no gravity and ultra strong gravity limits

Abstract

We argue that Relative Locality may arise in the no gravity $G\rightarrow0$ limit of gravity. In this limit gravity becomes a topological field theory of the BF type that, after coupling to particles, may effectively deform its dynamics. We briefly discuss another no gravity limit with a self dual ground state as well as the topological ultra strong $G\rightarrow\infty$ one.