Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Oldofredi, Andrea, Calosi, Caludio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
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
_version_ 1784590959246311424
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
work_keys_str_mv AT oldofrediandrea relationalquantummechanicsandthepbrtheoremapeacefulcoexistence
AT calosicaludio relationalquantummechanicsandthepbrtheoremapeacefulcoexistence