On the effectiveness of the collapse in the Diósi–Penrose model

The possibility that gravity plays a role in the collapse of the quantum wave function has been considered in the literature, and it is of relevance not only because it would provide a solution to the measurement problem in quantum theory, but also because it would give a new and unexpected twist to...

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Main Authors: Laria Figurato, Marco Dirindin, José Luis Gaona-Reyes, Matteo Carlesso, Angelo Bassi, Sandro Donadi
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ad8c77
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author Laria Figurato
Marco Dirindin
José Luis Gaona-Reyes
Matteo Carlesso
Angelo Bassi
Sandro Donadi
author_facet Laria Figurato
Marco Dirindin
José Luis Gaona-Reyes
Matteo Carlesso
Angelo Bassi
Sandro Donadi
author_sort Laria Figurato
collection DOAJ
description The possibility that gravity plays a role in the collapse of the quantum wave function has been considered in the literature, and it is of relevance not only because it would provide a solution to the measurement problem in quantum theory, but also because it would give a new and unexpected twist to the search for a unified theory of quantum and gravitational phenomena, possibly overcoming the current impasse. The Diósi–Penrose model is the most popular incarnation of this idea. It predicts a progressive breakdown of quantum superpositions when the mass of the system increases; as such, it is susceptible to experimental verification. Current experiments set a lower bound $R_0\gtrsim 4$  Å  for the free parameter of the model, excluding some versions of it. In this work we search for an upper bound, coming from the request that the collapse is effective enough to guarantee classicality at the macroscopic scale: we find out that not all macroscopic systems collapse effectively. If one relaxes this request, a reasonable (although to some degree arbitrary) bound is found to be: $R_0\lesssim 10^6$  Å. This will serve to better direct future experiments to further test the model.
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spelling doaj-art-8844c59a40e141b19d9ee6dbd383fab12024-11-11T12:34:43ZengIOP PublishingNew Journal of Physics1367-26302024-01-01261111300410.1088/1367-2630/ad8c77On the effectiveness of the collapse in the Diósi–Penrose modelLaria Figurato0https://orcid.org/0000-0002-2225-0655Marco Dirindin1José Luis Gaona-Reyes2Matteo Carlesso3https://orcid.org/0000-0002-9929-7291Angelo Bassi4https://orcid.org/0000-0001-7500-387XSandro Donadi5Department of Physics, University of Trieste , Strada Costiera 11, 34151 Trieste, Italy; Trieste section, Istituto Nazionale di Fisica Nucleare , Via Valerio 2, 34127 Trieste, ItalyDepartment of Physics, University of Trieste , Strada Costiera 11, 34151 Trieste, ItalyDepartment of Physics, University of Trieste , Strada Costiera 11, 34151 Trieste, Italy; Trieste section, Istituto Nazionale di Fisica Nucleare , Via Valerio 2, 34127 Trieste, ItalyDepartment of Physics, University of Trieste , Strada Costiera 11, 34151 Trieste, Italy; Trieste section, Istituto Nazionale di Fisica Nucleare , Via Valerio 2, 34127 Trieste, ItalyDepartment of Physics, University of Trieste , Strada Costiera 11, 34151 Trieste, Italy; Trieste section, Istituto Nazionale di Fisica Nucleare , Via Valerio 2, 34127 Trieste, ItalyTrieste section, Istituto Nazionale di Fisica Nucleare , Via Valerio 2, 34127 Trieste, Italy; Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queens University , Belfast BT7 1NN, United KingdomThe possibility that gravity plays a role in the collapse of the quantum wave function has been considered in the literature, and it is of relevance not only because it would provide a solution to the measurement problem in quantum theory, but also because it would give a new and unexpected twist to the search for a unified theory of quantum and gravitational phenomena, possibly overcoming the current impasse. The Diósi–Penrose model is the most popular incarnation of this idea. It predicts a progressive breakdown of quantum superpositions when the mass of the system increases; as such, it is susceptible to experimental verification. Current experiments set a lower bound $R_0\gtrsim 4$  Å  for the free parameter of the model, excluding some versions of it. In this work we search for an upper bound, coming from the request that the collapse is effective enough to guarantee classicality at the macroscopic scale: we find out that not all macroscopic systems collapse effectively. If one relaxes this request, a reasonable (although to some degree arbitrary) bound is found to be: $R_0\lesssim 10^6$  Å. This will serve to better direct future experiments to further test the model.https://doi.org/10.1088/1367-2630/ad8c77collapse modelsmeasurement problemquantum foundationsquantum measurements
spellingShingle Laria Figurato
Marco Dirindin
José Luis Gaona-Reyes
Matteo Carlesso
Angelo Bassi
Sandro Donadi
On the effectiveness of the collapse in the Diósi–Penrose model
New Journal of Physics
collapse models
measurement problem
quantum foundations
quantum measurements
title On the effectiveness of the collapse in the Diósi–Penrose model
title_full On the effectiveness of the collapse in the Diósi–Penrose model
title_fullStr On the effectiveness of the collapse in the Diósi–Penrose model
title_full_unstemmed On the effectiveness of the collapse in the Diósi–Penrose model
title_short On the effectiveness of the collapse in the Diósi–Penrose model
title_sort on the effectiveness of the collapse in the diosi penrose model
topic collapse models
measurement problem
quantum foundations
quantum measurements
url https://doi.org/10.1088/1367-2630/ad8c77
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