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The Philosophical Review

Particles and Paradoxes: The Limits of Quantum Logic.

R. I. G. Hughes, Peter Gibbins

Published Oct 1, 1990• 52 citations
Publisher

Abstract

Preface 1. Meta-physics Part I: 2. Quantum mechanics for natural philosophers (I) 3. Wave-particle duality 4. The Copenhagen interpretation (I) 5. The Copenhagen interpretation (II): Einstein versus Bohr Part II: 6. Quantum mechanics for natural philosophers (II) 7. Projection postulates 8. Nonlocality and hidden variables 9. A user-friendly quantum logic 10. Quantum logic: what it can and can't do Conclusion Notes References Index.

DOI
10.2307/2185625

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•Apr 20, 2009•31 citations
Preface 1. Meta-physics Part I: 2. Quantum mechanics for natural philosophers (I) 3. Wave-particle duality 4. The Copenhagen interpretation (I) 5. The Copenhagen interpretation (II): Einstein versus Bohr Part II: 6. Quantum mechanics for natural philosophers (II) 7. Projection postulates 8. Nonlocality and hidden variables 9. A user-friendly quantum logic 10. Quantum logic: what it can and can't do Conclusion Notes References Index.
The Italian Debate on Quantum Paradoxes.- 1. The Epistemological Roots of Quantum Paradoxes.- Waves, Particles and Complementarity.- Chance: Chaos or Logic?.- Some Critical Considerations on the Present Epistemological and Scientific Debate on Quantum Mechanics.- 2. Einstein Locauty, Separable Reality, and Quantum Correlations.- Physical Consequences of Reality Criteria for Quantum Phenomena.- Possible Link Between EPR Paradox and Waves.- A Criticism of Some Recently Proposed Models that Violate the Bell Inequality.- A Phenomenological Analysis of the EPR Argument.- 3. Causal and Deterministic Interpretations of Quantum Formausm.- Causal versus Orthodox Interpretation of Quantum Mechanics.- Perspectives of Physical Determinism.- Determinism, Separability, and Quantum Mechanics.- 4. Quantum Theory and Gravitation.- Can Singularities and Multidimensional Spaces Influence the Evolution of Quantum Mechanical Systems?.- Subquantum Mechanics and Graviton Blas.- 5. Logic and Probability in Quantum Mechanics.- Foundations of Quantum Mechanics. A Quantum Probabilistic Approach.- On the Adequacy of a Nonclassical Logic for Quantum Theory.- Remarks on the Hypothesis of Hidden Variables.- 6. Historical Developments of the Einstein-Bohr Controversy.- Historical Considerations on the Conceptual Experiment by Einstein, Podolsky and Rosen.- Continuity and Discontinuity: The Einstein-Bohr Conflict of Ideas and the Bohr-Fock Discussion.- How Italian Philosophy Reacted to the Advent of Quantum Mechanics in the Thirties.- Italian Studies in the Foundations of Quantum Physics. A Bibliography (1965-1985).
Preface to the 2nd edition. Preface. Acknowledgements. Reality in the quantum world: The quantum revolutions External reality The potential barrier and the breakdown of determinism The experimental challenge to reality Summary of chapter one. Quantum theory: The description of a particle in quantum theory The wavefunction The potential barrier according to quantum mechanics Interference Other applications of quantum theory Summary of chapter two. Quantum theory and external reality: Review of the problem The ensemble interpretation of quantum mechanics The wavefunction as a measure of our knowledge The wavefunction as part of external reality Measurement in quantum theory Interference and macroscopic objects Can quantum mechanics be changed so that it will reduce wavefunctions? Summary of chapter three. Consciousness: The relevance of conscious observers: What is a conscious observer? Does wavefunction reduction require conscious observers? God as the conscious observer The many-worlds interpretation Summary of chapter four. Hidden variables and non-locality: Review of hidden-variable theories The pilot wave The Einstein-Podolsky-Rosen thought experiment Bell's theorem Experimental verification of the non-local predictions of quantum theory Can signals travel faster than light Summary of chapter five. The mysteries of the quantum world: Where are we now? Quantum theory and relativity Where do we go next? Early history and the Copenhagen interpretation A bibliography and some recent opinions A final plea for reality A last look at the wavefunction Conclusions. Recent developments: Models with explicit collapse The Bohm model Many worlds Time and quantum theory A peculiarly quantum measurement Locality. Appendices. Index.
Acknowledgements Part I. Measurment in Quantum Theory: 1. Role of the observer in quantum theory 2. Approximate measurement in quantum mechanics with Mary H. Fehrs 3. Proposed neutron interferometer test of some non-linear variants of wave mechanics 4. Desiderata for modified quantum mechanics 5. Filters with infinitely many components 6. Proposed neutron interferometer observation of the sign change of a spinor due to 2? precession with Michael A. Horne Part II. Quantum Entaglement and Nonlocality: 7. Experimental consequences of local hidden-variable theories 8. An exposition of Bell's theorem 9. Contextual hidden variables theories and Bell's inequalities 10. Controllable and uncontrollable nonlocality 11. Events and processes in the quantum world 12. An exchange on local beables: comment on Bell's theory with Michael A. Horne and John F. Clauser 13. Physical and philosophical issues of the Bohr-Einstein debate Part III. Complex Systems: 14. The methodology of synthesis: parts and wholes in low energy physics 15. Some proposals concerning parts and wholes 16. The non-existence of a principle of natural selection: reply to Sober Part IV. Time: 17. Towards a revision of the protophysics of time 18. The transient now Part V. The Mental and the Physical: 19. Quantum physics and the philosophy of Whitehead 20. Reflections on the philosophy of Bohr, Heisenberg and Schroedinger 21. Wave-packet reduction as a medium of communication with Joseph Hall, Christopher Kim, and Brian MecElroy Index.
Quantum theory confronts us with bizarre paradoxes which upset the logical edifice of classical physics. At the sub-atomic level, one particle seems to know what the others are doing (so-called 'non-locality'), and according to Heisenberg's 'uncertainty principle', there is a limit on how accurately nature can be observed. And yet the theory is amazingly accurate and widely applied, explaining all of chemistry and most of physics. This book takes us on a step-by-step tour with the key figures, including Planck, Einstein, Bohr, Heisenberg and Schrodinger. Each contributed at least one crucial concept to the theory. The puzzle of the wave-particle duality is here, along with descriptions of the two questions raised gainst Bohr's 'Copenhagen Interpretation' - the famous 'dead and alive cat' and the EPR paradox. Both remain unresolved at the beginning of the 21st century.
List of participants Preface Part I. Introduction: 1. The function of the colloquium - editorial 2. The conceptual problem of quantum theory from the experimentalist's point of view O. R. Frisch Part II. Niels Bohr and Complementarity: The Place of the Classical Language: 3. The Copenhagen interpretation C. F. von Weizsacker 4. On Bohr's views concerning the quantum theory D. Bohm Part III. The Measurement Problem: 5. Quantal observation in statistical interpretation H. J. Groenewold 6. Macroscopic physics, quantum mechanics and quantum theory of measurement G. M. Prosperi 7. Comment on the Daneri-Loinger-Prosperi quantum theory of measurement Jeffrey Bub 8. The phenomenology of observation and explanation in quantum theory J. H. M. Whiteman 9. Measurement theory and complex systems M. A. Garstens Part IV. New Directions within Quantum Theory: What does the Quantum Theoretical Formalism Really Tell Us?: 10. On the role of hidden variables in the fundamental structure of physics D. Bohm 11. Beyond what? Discussion: space-time order within existing quantum theory C. W. Kilmister 12. Definability and measurability in quantum theory Yakir Aharonov and Aage Petersen 13. The bootstrap idea and the foundations of quantum theory Geoffrey F. Chew Part V. A Fresh Start?: 14. Angular momentum: an approach to combinatorial space-time Roger Penrose 15. A note on discreteness, phase space and cohomology theory B. J. Hiley 16. Cohomology of observations R. H. Atkin 17. The origin of half-integral spin in a discrete physical space Ted Bastin Part VI. Philosophical Papers: 18. The unity of physics C. F. von Weizsacker 19. A philosophical obstacle to the rise of new theories in microphysics Mario Bunge 20. The incompleteness of quantum mechanics or the emperor's missing clothes H. R. Post 21. How does a particle get from A to B? Ted Bastin 22. Informational generalization of entropy in physics Jerome Rothstein 23. Can life explain quantum mechanics? H. H. Pattee 24. Discussion: phenomena and sense data in quantum theory D. S. Linney and C. F. von Weizsacker Index of persons Index of subjects.