Gravity-related wave function collapse: mass density resolution

TL;DR

This paper discusses gravity-related spontaneous wave function collapse, highlighting its implications for conservation laws, collapse times in condensed matter, and potential anomalies in superfluid helium.

Contribution

It provides a detailed analysis of gravity-related collapse models, proving collapse time independence from nuclear uncertainties and proposing possible anomalies in superfluid helium.

Findings

Collapse times are insensitive to nuclear position uncertainties.

Spontaneous collapse could violate conservation laws without environmental noise.

Superfluid helium may exhibit anomalously low collapse rates.

Abstract

Selected issues of the concept of spontaneous collapse are discussed, with the emphasis on the gravity-related model. We point out that without spontaneous collapses the Schr\"odinger cat states would macroscopically violate the standard conservation laws even in the presence of environmental noise. We prove that the collapse time of condensed matter c.o.m. superpositions is not sensitive to the natural uncertainty of the nuclear locations whereas we formulate the conjecture that superfluid He may show an anomalous low rate of spontaneous collapse compared to common condensed matter.