Gravitation and quantummechanical localization of macroobjects

TL;DR

This paper introduces a nonlinear Schrödinger equation incorporating gravitational self-interaction, explores its properties, and finds soliton-like solutions, advancing understanding of quantum localization influenced by gravity.

Contribution

It proposes a new nonlinear Schrödinger equation with gravitational self-interaction and demonstrates the existence of soliton-like solutions.

Findings

Satisfaction of Bialynicki-Birula separability conditions asymptotically

Existence of soliton-like solutions in the proposed model

Potential implications for quantum localization of macroobjects

Abstract

We propose nonlinear Schr\"odinger equation with gravitational self-interacting term. The separability conditions of Bialynicki-Birula are satisfied in asymptotic sense. Solitonlike solutions were found.