Bell's nonlocality and gravity

TL;DR

This paper explores the possibility of formulating nonlocal gravitational theories inspired by Bell's nonlocality, aiming to bridge the conceptual gap between quantum mechanics and general relativity.

Contribution

It proposes three novel geometrical models of nonlocal gravity motivated by Bell's nonlocality, advancing the theoretical understanding of quantum-gravity interplay.

Findings

Three nonlocal gravity models constructed

Models align with Bell's nonlocality principles

Potential to reconcile quantum mechanics with gravity

Abstract

The experimental results that test Bell's inequality have found strong evidence suggesting that there are nonlocal aspects in nature. Evidently, these nonlocal effects, which concern spacelike separated regions, create an enormous tension between general relativity and quantum mechanics. In addition, by avoiding the coincidence limit, semiclassical gravity can also accommodate nonlocal aspects. Motivated by these results, we study if it is possible to construct geometrical theories of gravitation that are nonlocal in the sense of Bell. We propose three constructions of such theories, which could constitute an important step towards our understanding of the interplay between quantum mechanics and gravitation.