Nonlinear Quantum Mechanics and Artificial Intelligence

TL;DR

This paper clarifies the correct criterion for relativistic covariance in nonlinear quantum field theories, highlighting that a recent proposal by GPT-5 tests Hamiltonian locality instead, and revisits foundational results by Gisin and Polchinski.

Contribution

It corrects a misconception about the criterion for relativistic covariance in nonlinear quantum theories and reformulates established results in a field-theoretic context.

Findings

The GPT-5 criterion tests Hamiltonian locality, not nonlinearity.

The correct covariance criterion was identified by Gisin and Polchinski.

Reformulation of foundational results in quantum field theory context.

Abstract

We examine a criterion for relativistic covariance of nonlinear quantum field theory recently proposed by GPT-5 and published in Physics Letters B. We show that this criterion inadvertently tests a different property -- locality of the Hamiltonian -- and is insensitive to whether the theory is nonlinear. We recall the correct criterion, identified by Gisin and Polchinski thirty-five years ago, and reformulate their result in field-theoretic language.