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Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence
According to Relational Quantum Mechanics (RQM) the wave function [Formula: see text] is considered neither a concrete physical item evolving in spacetime, nor an object representing the absolute state of a certain quantum system. In this interpretative framework, [Formula: see text] is defined as a...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550433/ https://www.ncbi.nlm.nih.gov/pubmed/34720132 http://dx.doi.org/10.1007/s10701-021-00485-2 |
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author | Oldofredi, Andrea Calosi, Caludio |
author_facet | Oldofredi, Andrea Calosi, Caludio |
author_sort | Oldofredi, Andrea |
collection | PubMed |
description | According to Relational Quantum Mechanics (RQM) the wave function [Formula: see text] is considered neither a concrete physical item evolving in spacetime, nor an object representing the absolute state of a certain quantum system. In this interpretative framework, [Formula: see text] is defined as a computational device encoding observers’ information; hence, RQM offers a somewhat epistemic view of the wave function. This perspective seems to be at odds with the PBR theorem, a formal result excluding that wave functions represent knowledge of an underlying reality described by some ontic state. In this paper we argue that RQM is not affected by the conclusions of PBR’s argument; consequently, the alleged inconsistency can be dissolved. To do that, we will thoroughly discuss the very foundations of the PBR theorem, i.e. Harrigan and Spekkens’ categorization of ontological models, showing that their implicit assumptions about the nature of the ontic state are incompatible with the main tenets of RQM. Then, we will ask whether it is possible to derive a relational PBR-type result, answering in the negative. This conclusion shows some limitations of this theorem not yet discussed in the literature. |
format | Online Article Text |
id | pubmed-8550433 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer US |
record_format | MEDLINE/PubMed |
spelling | pubmed-85504332021-10-29 Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence Oldofredi, Andrea Calosi, Caludio Found Phys Article According to Relational Quantum Mechanics (RQM) the wave function [Formula: see text] is considered neither a concrete physical item evolving in spacetime, nor an object representing the absolute state of a certain quantum system. In this interpretative framework, [Formula: see text] is defined as a computational device encoding observers’ information; hence, RQM offers a somewhat epistemic view of the wave function. This perspective seems to be at odds with the PBR theorem, a formal result excluding that wave functions represent knowledge of an underlying reality described by some ontic state. In this paper we argue that RQM is not affected by the conclusions of PBR’s argument; consequently, the alleged inconsistency can be dissolved. To do that, we will thoroughly discuss the very foundations of the PBR theorem, i.e. Harrigan and Spekkens’ categorization of ontological models, showing that their implicit assumptions about the nature of the ontic state are incompatible with the main tenets of RQM. Then, we will ask whether it is possible to derive a relational PBR-type result, answering in the negative. This conclusion shows some limitations of this theorem not yet discussed in the literature. Springer US 2021-07-31 2021 /pmc/articles/PMC8550433/ /pubmed/34720132 http://dx.doi.org/10.1007/s10701-021-00485-2 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Article Oldofredi, Andrea Calosi, Caludio Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence |
title | Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence |
title_full | Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence |
title_fullStr | Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence |
title_full_unstemmed | Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence |
title_short | Relational Quantum Mechanics and the PBR Theorem: A Peaceful Coexistence |
title_sort | relational quantum mechanics and the pbr theorem: a peaceful coexistence |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550433/ https://www.ncbi.nlm.nih.gov/pubmed/34720132 http://dx.doi.org/10.1007/s10701-021-00485-2 |
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