Aziz and Howl's Gravity-Induced Entanglement Channel is Essentially Classical Mechanics

TL;DR

The paper critiques Aziz and Howl's claim that classical gravity can produce quantum entanglement, showing their effect is actually classical wavepacket motion and negligibly small.

Contribution

It clarifies that Aziz and Howl's proposed entanglement channel is better understood as semiclassical wave dynamics, not quantum entanglement, and corrects their computational approach.

Findings

Their effect is negligibly small when properly calculated.

The claimed quantum entanglement channel is actually classical wavepacket motion.

The initial wavefunction choice significantly affects the results.

Abstract

Aziz and Howl argued that a classical gravitational field can generate quantum entanglement through a quantum-field-theoretic channel mediated by virtual matter propagation. However, their claimed channel is more naturally and accurately understood as semiclassical wavepacket motion in an external gravitational field, rather than as a distinctively quantum-field-theoretic entangling effect. Moreover, the result of their perturbative computation is incorrectly magnified: they selected a discontinuous wavefunction with infinite kinetic energy as the initial state and simultaneously treated it as stationary. Once a correct treatment using Gaussian wavepacket is adapted, the resulting effect will be negligibly small.