Gravitational quantum collapse in dilute systems

Franck Laloë

doi:10.5802/crphys.104

Research article

Gravitational quantum collapse in dilute systems

Franck Laloë ¹

¹ Laboratoire Kastler Brossel, ENS-Université PSL, CNRS, Sorbonne Université, Collège de France, 24 rue Lhomond 75005 Paris, France

Comptes Rendus. Physique, Volume 23 (2022), pp. 27-40.

Abstract

Penrose has suggested that large fluctuations of the gravitational energy of quantum systems, resulting from fluctuations of its density in space, may induce a quantum collapse mechanism [1], but he did not propose a precise dynamics for this process. We use the GBC (Gravitational Bohmian Collapse) model [2], which provides such a dynamics. The effects of collapse in dilute quantum systems are investigated, both in ordinary 3D space and in configuration space. We first discuss how a single result appears during a quantum measurement. The GBC model predicts a continuous but very fast evolution of the state vector that, at the end of the measurement, reproduces the von Neumann projection postulate. This ensures that the model remains compatible with the relativistic nosignaling constraint. In the absence of any measurement, we study the spontaneous effects of the GBC process, which depend on the quantum correlation function of observables with the spatial density operator. If the selected observable is the local current of the density fluid, we show that the collapse term leads to modifications of the Newton force, in a scalar or tensor form.

Received: 2022-01-25
Revised: 2022-02-21
Accepted: 2022-03-01
Published online: 2022-05-04

DOI: 10.5802/crphys.104

Keywords: quantum collapse, quantum measurement, modified Schrödinger dynamics, modified gravity, Penrose model
Keywords: mesure quantique, collapse dynamique, dynamique de Schrödinger modifiée, gravitation

Author's affiliations:

Franck Laloë ¹

¹ Laboratoire Kastler Brossel, ENS-Université PSL, CNRS, Sorbonne Université, Collège de France, 24 rue Lhomond 75005 Paris, France

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {Franck Lalo\"e},
     title = {Gravitational quantum collapse in dilute systems},
     journal = {Comptes Rendus. Physique},
     pages = {27--40},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {23},
     year = {2022},
     doi = {10.5802/crphys.104},
     language = {en},
}

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Franck Laloë. Gravitational quantum collapse in dilute systems. Comptes Rendus. Physique, Volume 23 (2022), pp. 27-40. doi : 10.5802/crphys.104. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.104/

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