Gisin Nonlocality of the Doebner-Goldin 2-Particle Equation

TL;DR

This paper demonstrates that Gisin's nonlocality argument applies to all nonlinearizable forms of the Doebner-Goldin 2-particle equation, showing potential for instantaneous effects on a particle's probability distribution.

Contribution

It extends Gisin's nonlocality argument to the entire class of nonlinearizable Doebner-Goldin 2-particle equations, highlighting their nonlocal features.

Findings

Gisin's argument applies to all nonlinearizable Doebner-Goldin equations.

Instantaneous changes in potential can affect distant particle distributions.

Nonlocal effects are inherent in these nonlinear quantum equations.

Abstract

Gisin's argument against deterministic nonlinear Schroedinger equations is shown to be valid for every (formally) nonlinearizable case of the general Doebner-Goldin 2-particle equation in the following form: The time-dependence of the position probability distribution of a particle `behind the moon' may be instantaneously changed by an arbitrarily small instantaneous change of the potential `inside the laboratory'.