Aspects of Non-local QED and the Weak Gravity Conjecture

TL;DR

This paper explores how the Weak Gravity Conjecture constrains the non-locality scale in non-local QED, suggesting it is below 87 TeV, with implications for future collider experiments and reformulating the WGC in this context.

Contribution

It introduces a novel application of the WGC to non-local QED, deriving bounds on the non-locality scale and reformulating the conjecture for this framework.

Findings

Non-local QED non-locality scale <= 87 TeV

Reformulation of WGC in non-local QED

Potential for future collider tests

Abstract

We use the Weak Gravity Conjecture (WGC) to investigate the impact of charge dequantization arising from non-local QED on the scale of non-locality of neutrinos. We find this scale to be <= 87 TeV, which could be probed in future colliders. We also investigate the electric force and potential in non-local QED and use them to reformulate the Weak Gravity Conjecture (WGC) in non-local QED.