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

2023/07/19 by Matteo Lulli, Lulli, Matteo, Antonino Marcianò +3 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2307.10136

openalex publication_date 2023/07/19 · openalex created_date 2023/07/21 · openalex updated_date 2026/07/28

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 Diósi-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.

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