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

Some Reminiscences and Reflections

Abner Shimony

Published Jan 1, 2002• 4 citations
OpenAlex

Abstract

Section 5.1 considers the question, Why Was Bell the Discoverer of Bell's Theorem?, and proposes his moral character as an answer. Section 5.2 gives three reminiscences of encounters with Bell. Section 5.3 proposes that the nonlocality exhibited by Bell's Theorem and the Bell-inspired experiments is best understood in the framework of the pregeometry of Michael Heller and collaborators, which is based upon the noncommutative geometry of Alain Connes.

Related papers

Alain Aspect’s experiments on Bell’s theorem: a turning point in the history of the research on the foundations of quantum mechanics

Olival Freire

arXiv:2212.05535•The European Physical Journal D•Dec 1, 2022•4 citations

The Bell and GHZ theorems: a possible three-photon interference experiment and the question of nonlocality

Давид Николаевич Клышко

Physics Letters A•Jan 1, 1993•114 citations

PHILOSOPHICAL MOTIVATIONS OF BELL'S THEOREM AND THE EXPERIMENTER'S PROBLEM

John F. Clauser

•Apr 1, 1976•0 citations

A threshold for Bell violation under Lipschitz-restricted observables, and its critical exponent

Ilkka Linnas

Bell inequalities normally ask what correlations are possible once the available measurements have been chosen. This paper asks an earlier question: what determines which measurements are available in the first place? The proposed framework uses the Dirac operator of noncommutative geometry to assign a geometric cost to each dichotomic observable. A measurement is available only when its cost is within the apparatus budget. This restriction can create a sharp threshold: below it, the maximum CHSH value remains exactly classical, while above it, Bell violation becomes possible. The way the violation emerges reflects the local geometry around the least costly nonclassical measurements. The paper develops this threshold theory, examines the symmetry imposed by Connes’ real structure, studies the role of different observable components, and supports the analytical results with independent numerical verification and exact-arithmetic threshold certificates.

•Sep 2, 2026•0 citations

7th International Workshop DICE2014 Spacetime – Matter – Quantum Mechanics

Hans-Thomas Elze, Lajos Diósi, Leone Fronzoni +4 more

Presented in this volume are the Invited Lectures and the Contributed Papers of the Seventh International Workshop on Decoherence, Information, Complexity and Entropy – DICE 2014 , held at Castello Pasquini, Castiglioncello (Tuscany), September 15-19, 2014. These proceedings are intended to reflect the lively exchange of ideas during the meeting for the interested public and the wider scientific community, as well as to provide a document of the scientific works presented. The number of participants has continued to grow, which may correspond to an increasing attraction, if not need, of such conference: Our very intention has always been to bring together leading researchers, advanced students, and renowned scholars from various areas, in order to stimulate new ideas and their exchange across the borders of specialization. In this way, the series of meetings successfully continued from the beginning with DICE 2002, followed by DICE 2004, DICE 2006, DICE 2008, DICE 2010, and DICE 2012. This time, DICE 2014 brought together more than 120 participants representing more than 30 countries. It has been a great honour and inspiration that we had with us Nobel Prize laureate Gerard 't Hooft (Utrecht - Keynote Lecture ''The Cellular Automaton Interpretation and Bell's Theorem'' ), Fields Medal winner Alain Connes (Paris - Keynote Lecture ''Quanta of geometry'' ), Professor Avshalom Elitzur (Rehovot - Keynote Lecture ''Voices of silence, novelties of noise: on some quantum hairsplitting methods with nontrivial consequences'', in this volume) and Professor Mario Rasetti (Torino - Keynote Lecture ''The topological field theory of data: a possible new venue for data mining'' , in this volume). The opening Keynote Lecture ''History of electroweak symmetry breaking'' was presented by Sir Tom Kibble (London), co-discoverer of the Higgs mechanism, Sakurai Prize laureate and winner of, i.a., Dirac and Einstein Medals.

Journal of Physics Conference Series•Jul 3, 2015•0 citations

Quantum Nonlocality and Reality

Mary Bell, Shan 1970 or 1971- Gao

Combining twenty-six original essays written by an impressive line-up of distinguished physicists and philosophers of physics, this anthology reflects some of the latest thoughts by leading experts on the influence of Bell's theorem on quantum physics. Essays progress from John Bell's character and background, through studies of his main work, and on to more speculative ideas, addressing the controversies surrounding the theorem, and investigating the theorem's meaning and its deep implications for the nature of physical reality. Combined, they present a powerful comment on the undeniable significance of Bell's theorem for the development of ideas in quantum physics over the past 50 years. Questions surrounding the assumptions and significance of Bell's work still inspire discussion in the field of quantum physics. Adding to this with a theoretical and philosophical perspective, this balanced anthology is an indispensable volume for students and researchers interested in the philosophy of physics and the foundations of quantum mechanics.

Cambridge University Press eBooks•Aug 31, 2016•79 citations
Section 5.1 considers the question, Why Was Bell the Discoverer of Bell's Theorem?, and proposes his moral character as an answer. Section 5.2 gives three reminiscences of encounters with Bell. Section 5.3 proposes that the nonlocality exhibited by Bell's Theorem and the Bell-inspired experiments is best understood in the framework of the pregeometry of Michael Heller and collaborators, which is based upon the noncommutative geometry of Alain Connes.
Bell inequalities normally ask what correlations are possible once the available measurements have been chosen. This paper asks an earlier question: what determines which measurements are available in the first place? The proposed framework uses the Dirac operator of noncommutative geometry to assign a geometric cost to each dichotomic observable. A measurement is available only when its cost is within the apparatus budget. This restriction can create a sharp threshold: below it, the maximum CHSH value remains exactly classical, while above it, Bell violation becomes possible. The way the violation emerges reflects the local geometry around the least costly nonclassical measurements. The paper develops this threshold theory, examines the symmetry imposed by Connes’ real structure, studies the role of different observable components, and supports the analytical results with independent numerical verification and exact-arithmetic threshold certificates.
Presented in this volume are the Invited Lectures and the Contributed Papers of the Seventh International Workshop on Decoherence, Information, Complexity and Entropy – DICE 2014 , held at Castello Pasquini, Castiglioncello (Tuscany), September 15-19, 2014. These proceedings are intended to reflect the lively exchange of ideas during the meeting for the interested public and the wider scientific community, as well as to provide a document of the scientific works presented. The number of participants has continued to grow, which may correspond to an increasing attraction, if not need, of such conference: Our very intention has always been to bring together leading researchers, advanced students, and renowned scholars from various areas, in order to stimulate new ideas and their exchange across the borders of specialization. In this way, the series of meetings successfully continued from the beginning with DICE 2002, followed by DICE 2004, DICE 2006, DICE 2008, DICE 2010, and DICE 2012. This time, DICE 2014 brought together more than 120 participants representing more than 30 countries. It has been a great honour and inspiration that we had with us Nobel Prize laureate Gerard 't Hooft (Utrecht - Keynote Lecture ''The Cellular Automaton Interpretation and Bell's Theorem'' ), Fields Medal winner Alain Connes (Paris - Keynote Lecture ''Quanta of geometry'' ), Professor Avshalom Elitzur (Rehovot - Keynote Lecture ''Voices of silence, novelties of noise: on some quantum hairsplitting methods with nontrivial consequences'', in this volume) and Professor Mario Rasetti (Torino - Keynote Lecture ''The topological field theory of data: a possible new venue for data mining'' , in this volume). The opening Keynote Lecture ''History of electroweak symmetry breaking'' was presented by Sir Tom Kibble (London), co-discoverer of the Higgs mechanism, Sakurai Prize laureate and winner of, i.a., Dirac and Einstein Medals.
Combining twenty-six original essays written by an impressive line-up of distinguished physicists and philosophers of physics, this anthology reflects some of the latest thoughts by leading experts on the influence of Bell's theorem on quantum physics. Essays progress from John Bell's character and background, through studies of his main work, and on to more speculative ideas, addressing the controversies surrounding the theorem, and investigating the theorem's meaning and its deep implications for the nature of physical reality. Combined, they present a powerful comment on the undeniable significance of Bell's theorem for the development of ideas in quantum physics over the past 50 years. Questions surrounding the assumptions and significance of Bell's work still inspire discussion in the field of quantum physics. Adding to this with a theoretical and philosophical perspective, this balanced anthology is an indispensable volume for students and researchers interested in the philosophy of physics and the foundations of quantum mechanics.