von Neumann's Theorem Revisited

Simple item page
dc.contributor.authorAcuna, Pablo
dc.date.accessioned2024-08-01T08:00:05Z
dc.date.available2024-08-01T08:00:05Z
dc.date.issued2021
dc.description.abstractAccording to a popular narrative, in 1932 von Neumann introduced a theorem that intended to be a proof of the impossibility of hidden variables in quantum mechanics. However, the narrative goes, Bell later spotted a flaw that allegedly shows its irrelevance. Bell's widely accepted criticism has been challenged by Bub and Dieks: they claim that the proof shows that viable hidden variables theories cannot be theories in Hilbert space. Bub's and Dieks' reassessment has been in turn challenged by Mermin and Schack. Hereby I critically assess their reply, with the aim of bringing further clarification concerning the meaning, scope and relevance of von Neumann's theorem. I show that despite Mermin and Schack's response, Bub's and Dieks' reassessment is quite correct, and that this reading gets strongly reinforced when we carefully consider the connection between von Neumann's proof and Gleason's theorem.
dc.description.funderFONDECYT
dc.fechaingreso.objetodigital2024-12-18
dc.format.extent29 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1007/s10701-021-00474-5
dc.identifier.eissn1572-9516
dc.identifier.issn0015-9018
dc.identifier.urihttps://doi.org/10.1007/s10701-021-00474-5
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/87232
dc.identifier.wosidWOS:000664484000001
dc.information.autorucFacultad de Filosofía; Acuña Luongo, Pablo Thomas; S/I; 2468
dc.issue.numero3
dc.language.isoen
dc.nota.accesocontenido parcial
dc.revistaFOUNDATIONS OF PHYSICS
dc.rightsacceso restringido
dc.subjectQuantum mechanics
dc.subjectHidden variables
dc.subjectJohn von Neumann
dc.subjectGleason's theorem
dc.subjectHIDDEN-VARIABLES
dc.titlevon Neumann's Theorem Revisited
dc.typeartículo
dc.volumen51
sipa.codpersvinculados2468
sipa.indexWOS
sipa.trazabilidadCarga WOS-SCOPUS;01-08-2024
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
von Neumann's theorem revisited.pdf
Size:
2.54 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Artículos de revistas