Bell's Theorem and Quantum Realism [electronic resource] : Reassessment in Light of the Schrödinger Paradox /
Hemmick, Douglas L.author.
Shakur, Asif M.author.
Quantum theory presents a strange picture of the world, offering no real account of physical properties apart from observation. Neils Bohr felt that this reflected a core truth of nature: "There is no quantum world. There is only an abstract mathematical description." Among the most significant developments since Bohr’s day has been the theorem of John S. Bell. It is important to consider whether Bell’s analysis supports such a denial of microrealism. In this book, we evaluate the situation in terms of an early work of Erwin Schrödinger. Doing so, we see how Bell’s theorem is conceptually related to the Conway and Kochen Free Will theorem and also to all the major anti-realism efforts. It is easy to show that none of these analyses imply the impossibility of objective realism. We find that Schrödinger’s work leads to the derivation of a new series of theoretical proofs and potential experiments, each involving “entanglement,” the link between particles in some quantum systems. .
Description based upon print version of record.
Bell's Theorem and Quantum Realism; Acknowledgments; Contents; 1 Introduction; 1.1 Quantum Realism and Bell's Theorem; 1.1.1 Opening Remarks; 1.1.2 David Bohm's Theory of Hidden Variables; 1.2 Topics to be Covered; 1.3 Review of the Formalism of Quantum Mechanics; 1.3.1 The State and its Evolution; 1.3.2 Rules of Measurement; 1.4 Von Neumann's Theorem and Hidden Variables; 1.4.1 Introduction; 1.4.2 Von Neumann's Theorem; 1.4.3 Von Neumann's Impossibility Proof; 1.4.4 Refutation of the Impossibility Proof; 1.4.5 Summary and Further Remarks; 1.4.6 Schrödinger's Derivation of Von Neumann's Proof
References2 Contextuality; 2.1 Gleason's Theorem; 2.2 Kochen and Specker's Theorem; 2.3 Contextuality and Gleason's, and Kochen  and Specker's Impossibility Proofs; 2.3.1 Procedure to Measure the Kochen  and Specker Observables; 2.4 Contextuality Theorems and Spectral Incompatibility; 2.5 Albert's Example and Contextuality; 2.5.1 Bohmian Mechanics and Albert's Example; References; 3 The Einstein--Podolsky--Rosen Paradox,  Bell's Theorem and Nonlocality; 3.1 Introductory Comments; 3.2 Review of the Einstein--Podolsky--Rosen Paradox
3.2.1 Rotational Invariance of the Spin Singlet State  and Perfect Correlations3.2.2 The EPR Incompleteness Argument  and Objective Realism; 3.2.3 The Einstein--Podolsky--Rosen Theorem; 3.3 Bell's Theorem; 3.3.1 Proof of Bell's Theorem; 3.4 Einstein--Podolsky--Rosen, Bell's Theorem, and Nonlocality; 3.4.1 Complex Arguments; 3.4.2 Conjunction of EPR Analysis with Bell's Theorem; 3.4.3 The `No-Superdeterminism' Assumption; 3.5 Summary; References; 4 Schrödinger's Paradox and Nonlocality; 4.1 Introduction; 4.2 Schrödinger's Generalization of EPR; 4.2.1 The Einstein--Podolsky--Rosen Quantum State
4.2.2 Schrödinger's Generalization and Maximal  Perfect Correlations4.3 Schrödinger's Paradox, and Incompleteness; 4.3.1 Perfect Correlations and Procedure of Measurement; 4.3.2 Schrödinger's Theorem; 4.4 EPR Quantum State and Other Maximally  Entangled States; 4.4.1 Generalized Form of the EPR State; 4.4.2 The General Form of a Maximally Entangled State; 4.4.3 Maximally Entangled State with Two Spin-1 Particles; 4.5 Schrödinger Nonlocality; 4.5.1 Schrödinger Paradox and Spectral  Incompatibility Theorems; 4.5.2 What is Proven by the Conway--Kochen  Free Will Theorem
4.6 Schrödinger's Paradox and Von Neumann's Theorem4.7 Summary and Conclusions; References
Includes bibliographical references.
Quantum theory presents a strange picture of the world, offering no real account of physical properties apart from observation. Neils Bohr felt that this reflected a core truth of nature: "There is no quantum world. There is only an abstract mathematical description." Among the most significant developments since Bohr’s day has been the theorem of John S. Bell. It is important to consider whether Bell’s analysis supports such a denial of microrealism. In this book, we evaluate the situation in terms of an early work of Erwin Schrödinger. Doing so, we see how Bell’s theorem is conceptually related to the Conway and Kochen Free Will theorem and also to all the major anti-realism efforts. It is easy to show that none of these analyses imply the impossibility of objective realism. We find that Schrödinger’s work leads to the derivation of a new series of theoretical proofs and potential experiments, each involving “entanglement,” the link between particles in some quantum systems. .
Quantum physics.
Atoms.
Physics.
Quantum Physics.
Atomic, Molecular, Optical and Plasma Physics.
History and Philosophical Foundations of Physics.
SpringerBriefs in Physics