Comment on "Canonical formalism for Lagrangians with nonlocality of finite extent"

TL;DR

This paper challenges the assumption that nonlocal Lagrangian systems of finite extent are inherently unstable by providing counterexamples that demonstrate their stability.

Contribution

It presents counterexamples to the common belief, showing that nonlocality of finite extent does not imply instability in Lagrangian systems.

Findings

Counterexamples demonstrate stability in nonlocal Lagrangians

Challenges previous assumptions about nonlocal system instability

Provides insights into the stability criteria of nonlocal Lagrangians

Abstract

We show by some counterexamples that Lagrangian sysytems with nonlocality of finite extent are not necessarily unstable.