Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Theoretical and Mathematical Physics

Von Neumann’s Theorem on the Impossibility of Introducing Hidden Parameters in Quantum Mechanics

N. A. Dmitriev

Published Jun 1, 2005• 6 citations
Publisher
DOI
10.1007/s11232-005-0110-1

Related papers

The Impossible Causality: The No Hidden Variables Theorem of John von Neumann

Roberto Giuntini, Federico Laudisa

Springer eBooks•Jan 1, 2001•5 citations

von Neumann’s theorem and hidden-variable models

Vincenzo Capasso, Donato Fortunato, F. Selleri

Rivista Del Nuovo Cimento•Apr 1, 1970•23 citations

Valuations on Functionally Closed Sets of Quantum Mechanical Observables and Von Neumann’s ‘No-Hidden-Variables’ Theorem

Jason Zimba, Rob Clifton

The Western Ontario series in philosophy of science•Jan 1, 1998•9 citations

Hilbert-style axiomatic completion: On von Neumann and hidden variables in quantum mechanics

Chris Mitsch

Studies in History and Philosophy of Science Part A•Aug 19, 2022•21 citations

What is wrong with von Neumann's theorem on "no hidden variables"

Elemér Elad Rosinger

It is shown that, although correct mathematically, the celebrated 1932 theorem of von Neumann which is often interpreted as proving the impossibility of the existence of "hidden variables" in Quantum Mechanics, is in fact based on an assumption which is physically not reasonable. Apart from that, the alleged conclusion of von Neumann proving the impossibility of the existence of "hidden variables" was already set aside in 1952 by the counterexample of the possibility of a physical theory, such as given by what is usually called the "Bohmian Mechanics". Similar arguments apply to other two well known mathematical theorems, namely, of Gleason, and of Kochen and Specker, which have often been seen as equally proving the impossibility of the existence of "hidden variables" in Quantum Mechanics.

arXiv:quant-ph/0408191•Aug 31, 2004•7 citations

IMPOSSIBILITY OF INTRODUCING THE ''HIDDEN'' PARAMETERS INTO QUANTUM MECHANICS.

Alexander I. Akhiezer, R.V. Polovin

•Jan 1, 1971•0 citations
It is shown that, although correct mathematically, the celebrated 1932 theorem of von Neumann which is often interpreted as proving the impossibility of the existence of "hidden variables" in Quantum Mechanics, is in fact based on an assumption which is physically not reasonable. Apart from that, the alleged conclusion of von Neumann proving the impossibility of the existence of "hidden variables" was already set aside in 1952 by the counterexample of the possibility of a physical theory, such as given by what is usually called the "Bohmian Mechanics". Similar arguments apply to other two well known mathematical theorems, namely, of Gleason, and of Kochen and Specker, which have often been seen as equally proving the impossibility of the existence of "hidden variables" in Quantum Mechanics.