The paper argues that far from challenging-or even refuting-Bohm's quantum theory, the no-hidden-variables theorems in fact support the Bohmian ontology for quantum mechanics. The reason is that (i) all measurements come down to position measurements; and (ii) Bohm's theory provides a clear and coherent explanation of the measurement outcome statistics based on an ontology of particle positions, a law for their evolution and a probability measure linked with that law. What the no-hidden-variables theorems teach us is that (i) one cannot infer the properties that the physical systems possess from observables; and that (ii) measurements, being an interaction like other interactions, change the state of the measured system.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512900 | PMC |
| http://dx.doi.org/10.3390/e20050381 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Hilbert-style axiomatic completion: On von Neumann and hidden variables in quantum mechanics.
Stud Hist Philos Sci
October 2022
Department of History and Philosophy of Science, University of Pittsburgh, Pittsburgh, PA, USA. Electronic address:
In this paper I provide a detailed history of von Neumann's "No Hidden Variables" theorem, and I argue it is a demonstration that his axiomatization mathematically captures a salient feature of the statistical transformation theory (namely, that hidden variables are incompatible). I show that this reading of von Neumann's theorem is obvious once one recalls several factors of his work. First, his axiomatization was what I call a Hilbert-style axiomatic completion; indeed, it developed from work initiated by Hilbert (and Nordheim).
View Article and Find Full Text PDFObservables and Unobservables in Quantum Mechanics: How the No-Hidden-Variables Theorems Support the Bohmian Particle Ontology.
Entropy (Basel)
May 2018
Section de Philosophie, Université de Lausanne, 1015 Lausanne, Switzerland.
The paper argues that far from challenging-or even refuting-Bohm's quantum theory, the no-hidden-variables theorems in fact support the Bohmian ontology for quantum mechanics. The reason is that (i) all measurements come down to position measurements; and (ii) Bohm's theory provides a clear and coherent explanation of the measurement outcome statistics based on an ontology of particle positions, a law for their evolution and a probability measure linked with that law. What the no-hidden-variables theorems teach us is that (i) one cannot infer the properties that the physical systems possess from observables; and that (ii) measurements, being an interaction like other interactions, change the state of the measured system.
View Article and Find Full Text PDF"All versus nothing" inseparability for two observers.
Phys Rev Lett
July 2001
Departamento de Física Aplicada II, Universidad de Sevilla, 41012 Sevilla, Spain. adan.cica.es
A recent proof of Bell's theorem without inequalities [A. Cabello, Phys. Rev.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!