Regular Article

A model of quantum collapse induced by gravity

LKB, ENS-Université PSL, CNRS, 24 rue Lhomond, 75005 Paris, France

^a e-mail: laloe@lkb.ens.fr

Received: 6 September 2019
Received in final form: 10 December 2019
Published online: 6 February 2020

Abstract

We discuss a model where a spontaneous quantum collapse is induced by the gravitational interactions, treated classically. Its dynamics couples the standard wave function of a system with the Bohmian positions of its particles, which are considered as the only source of the gravitational attraction. The collapse is obtained by adding a small imaginary component to the gravitational coupling. It predicts extremely small perturbations of microscopic systems, but very fast collapse of QSMDS (quantum superpositions of macroscopically distinct quantum states) of a solid object, varying as the fifth power of its size. The model does not require adding any dimensional constant to those of standard physics.