No, classical gravity does not entangle quantized matter fields

Abstract

In their recent work [Nature,646,813(2025)], Aziz and Howl claim that classical (unquantized) gravity produces entanglement of quantized matter if matter is treated within quantum field theory which is, no doubt, our ultimate theory to use. However, an elementary quantum field re-calculation of the authors' example shows that there is no entangling effect.