Stochastic Ricci Flow dynamics of the gravitationally induced wave-function collapse

TL;DR

This paper introduces a stochastic Ricci flow approach to model wave-function collapse, connecting quantum mechanics and general relativity, and derives a collapse model incorporating gravitational noise and cosmological parameters.

Contribution

It develops a novel stochastic Ricci flow framework to unify quantum wave-function collapse with gravitational effects, extending previous phenomenological models.

Findings

Derivation of the Díosi-Penrose collapse model from stochastic Ricci flow.

Inclusion of temperature and cosmological constant as parameters influencing collapse.

Linking gravitational noise to wave-function collapse mechanisms.

Abstract

In order to reconcile the wave-function collapse in quantum mechanics with the finiteness of signals' propagation in general relativity, we delve into a stochastic version of the Ricci flow and study its non-relativistic limit in presence of matter. We hence derive the Di\'osi-Penrose collapse model for the wave-function of a quantum gas. The procedure entails additional parameters with respect to phenomenological models hitherto accounted for, including the temperature of the gas and the cosmological constant, in turn related to the stochastic gravitational noise responsible for the collapse.