Mass-coupled relativistic spontaneous collapse models

TL;DR

This paper demonstrates the fundamental difficulties in formulating a relativistic spontaneous collapse model, showing that a Lorentz covariant mass-coupled collapse equation cannot meet key physical consistency conditions.

Contribution

It proves the impossibility of extending the non-relativistic CSL model to a Lorentz covariant form that avoids energy divergence and superluminal signaling.

Findings

Relativistic generalization of CSL is impossible under current conditions.

Lorentz covariant collapse equations cannot satisfy both energy and causality constraints.

Highlights fundamental limitations in relativistic spontaneous collapse theories.

Abstract

Currently there is not a satisfactory relativistic spontaneous collapse model. Here we show the impossibility of a simple generalization of the continuous spontaneous collapse (CSL) model to the relativistic framework. We consider a mass coupled model as in the non-relativistic limit this gives the CSL model. We show that a Lorentz covariant collapse equation cannot simultaneously satisfy the following conditions: i) To avoid a divergent rate of energy, ii) To prevent superluminal signaling.