A proposal for a new kind of spontaneous collapse model

TL;DR

This paper introduces a novel non-relativistic spontaneous collapse model that combines features of GRW and CSL models, addressing the measurement problem and integrating gravitational effects.

Contribution

It proposes a new collapse model based on fixed spacetime points, unifying properties of GRW and CSL, and incorporating gravity into the collapse mechanism.

Findings

Model reproduces GRW-like dynamics

Solves the measurement problem similarly to GRW

Incorporates Newtonian gravity as gravitational sources

Abstract

Spontaneous collapse models are modifications of standard quantum mechanics in which a physical mechanism is responsible for the collapse of the wavefunction, thus providing a way to solve the so-called "measurement problem". The two most famous of these models are the Ghirardi-Rimini-Weber (GRW) model and the Continuous Spontaneous Localisation (CSL) models. Here, we propose a new kind of non-relativistic spontaneous collapse model based on the idea of collapse points situated at fixed spacetime coordinates. This model shares properties of both GRW and CSL models, while starting from different assumptions. We show that it can lead to a dynamics quite similar to that of the GRW model while also naturally solving the problem of indistinguishable particles. On the other hand, we can also obtain the same master equation of the CSL models. Then, we show how our proposed model solves the measurement problem in a manner conceptually similar to the GRW model. Finally, we show how the proposed model can also accommodate for Newtonian gravity by treating the collapses as gravitational sources.