Revision as of 17:35, 19 November 2024 edit XOR'easter (talk \| contribs) Extended confirmed users 33,333 edits →Von Neumann's no-hidden variables proof: qualify with "mostly"; Feyerabend, for example, was aware of Hermann's observation in 1955 Tag: Visual edit ← Previous edit		Revision as of 17:47, 19 November 2024 edit undo XOR'easter (talk \| contribs) Extended confirmed users 33,333 edits →Von Neumann's no-hidden variables proof: add reference, some tidying Tag: Visual edit: Switched Next edit →
Line 45: === Von Neumann's no-hidden variables proof === [[John von Neumann]] in his 1932 book [[Mathematical Foundations of Quantum Mechanics\|''Mathematical Foundations of Quantum Mechanics'']] had presented a proof that there could be no "hidden parameters" in quantum mechanics. The validity of von Neumann's proof was questioned by [[Grete Hermann]] in 1935, who found a flaw in the proof.~~<ref name="Becker Book" />~~ The critical issue concerned averages over ensembles.<ref>{{cite book\|first=Max \|last=Jammer \|author-link=Max Jammer \|title=The Philosophy of Quantum Mechanics \|pages=265–274 \|year=1974 \|publisher=John Wiley and Sons \|isbn=0-471-43958-4}}</ref><ref>{{Cite journal \|last1=Mermin \|first1=N. David \|author-link1=N. David Mermin \|last2=Schack \|first2=Rüdiger \|date=September 2018 \|title=Homer Nodded: Von Neumann's Surprising Oversight \|journal=Foundations of Physics \|language=en \|volume=48 \|issue=9 \|pages=1007–1020 \|arxiv=1805.10311 \|bibcode=2018FoPh...48.1007M \|doi=10.1007/s10701-018-0197-5 \|issn=0015-9018 \|doi-access=free}}</ref> However Hermann's work went mostly unnoticed until its rediscovery by [[John Stewart Bell]] more than 30 years later.<ref>Hermann, G.: Die naturphilosophischen Grundlagen der Quantenmechanik (Auszug). Abhandlungen der Fries’schen Schule 6, 75–152 (1935). English translation: Chapter 15 of “Grete Hermann — Between physics and philosophy”, Elise Crull and Guido Bacciagaluppi, eds., Springer, 2016, 239- 278. [Volume 42 of Studies in History and Philosophy of Science]</ref><ref>{{Cite journal \|last=Del Santo \|first=Flavio \|date=2022-01-02 \|title=Beyond Method: The Diatribe Between Feyerabend and Popper Over the Foundations of Quantum Mechanics ~~\|url=https://www.tandfonline.com/doi/full/10.1080/02698595.2022.2031430~~ \|journal=International Studies in the Philosophy of Science \|language=en \|volume=35 \|issue=1 \|pages=5–22 \|arxiv=2108.13121 \|doi=10.1080/02698595.2022.2031430}}</ref> === EPR paradox ===

Hidden-variable theory: Difference between revisions