Emergence of non-abelian gauge theories and the ER-EPR duality

TL;DR

This paper explores how non-abelian gauge theories can emerge from entanglement phenomena, using topological and quantum error correction concepts, and relates this to the ER-EPR duality in quantum gravity.

Contribution

It demonstrates a novel connection between non-abelian gauge theories, entanglement, and topological maps, suggesting gauge theories emerge from entanglement-related phenomena.

Findings

Non-abelian gauge theories relate to entanglement via topological maps.

String compactification on a torus yields non-trivial fluxes linked to entanglement.

Supports the idea that low-energy gauge theories emerge from entanglement phenomena.

Abstract

Making use of the emergence of an entangling gate from the Mayer Vietoris maps generating a torus and employing the correspondence between quantum error correction codes and gauge symmetries I show that non-abelian gauge theories are related to the existence of entanglement. This observation is based on the fact that string compactification on a torus provide non-trivial fluxes (gaugings) when the twists are chosen such that the obtained torus matches the maps arising in the Mayer-Vietoris theorem which result in entangling gates. This observation adds new indications towards the fact that low energy non-abelian gauge theories emerge from entanglement related phenomena.