The Schroedinger-Newton model as N->Infinity limit of a N color model

TL;DR

This paper demonstrates that the Schroedinger-Newton model emerges as the infinite-color limit of a generalized non-unitary gravitational model in non-relativistic quantum mechanics, highlighting its localization features without decoherence.

Contribution

It proves the equivalence of the N->Infinity limit of a non-unitary N-color gravitational model to the Schroedinger-Newton model, clarifying their relationship.

Findings

Schroedinger-Newton model is the N->Infinity limit of the N-color model

The N-color model shares localization properties with the N=2 case

The model does not produce decoherence

Abstract

The generalization to N colors of a recently proposed non unitary two color model for the gravitational interaction in non relativistic quantum mechanics is considered. The N->Infinity limit is proven to be equivalent to the Schroedinger-Newton model, which, though sharing localization properties with the N=2 model, cannot produce decoherence.