# Nonlocality amplifies echoes

## TL;DR

This paper demonstrates that nonlocal interactions can amplify echoes in wave reflection and transmission, with potential implications for detecting nonlocal effects in gravitational wave signals from ultra-compact objects or wormholes.

## Contribution

It provides the first analysis of how nonlocality weakens interactions and amplifies echoes in wave phenomena involving Dirac delta potentials.

## Key findings

- Transmission is less damped in nonlocal interactions
- Echoes are amplified due to weakened interactions
- Potential detectability in gravitational wave observations

## Abstract

In this paper we will provide smoking-gun signatures of nonlocal interactions while studying reflection and transmission of waves bouncing through two Dirac delta potentials. In particular, we will show that the transmission of waves is less damped compared to the local case, due to the fact that nonlocality weakens the interaction. As a consequence the echoes are amplified. These signatures can be potentially detectable in the context of gravitational waves, where two Dirac delta potentials can mimic the two potential barriers at the surface and at the photon sphere of an ultra compact object, or, at the two photon spheres of a wormhole, experiencing nonlocal interactions.