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Beyond the Quantum

Andrei Yu. Khrennikov, Theo M. Nieuwenhuizen, Bahar Mehmani, Václav Špička, Maryam Jafar-Aghdami

Published Sep 1, 2007• 8 citations
OpenAlex

Abstract

Introduction: The Mathematical Basis for Deterministic Quantum Mechanics (G 't Hooft) What Did We Learn from Quantum Gravity? (A Ashtekar) Bose-Einstein Condensates and EPR Quantum Non-Locality (F Laloe) The Quantum Measurement Process: Lessons from an Exactly Solvable Model (A E Allahverdyan et al.) Quantum Mechanics and Quantum Information: POVMs: A Small but Important Step Beyond Standard Quantum Mechanics (W M de Muynck) State Reduction by Measurements with a Null Result (G Nienhuis) Solving Open Questions in the Bose-Einstein Condensation of an Ideal Gas via a Hybrid Mixture of Laser and Statistical Physics (M Kim et al.) Long Distance Correlations and Bell Inequalities: Fair Sampling vs No-Signalling Principle in EPR Experiments (G Adenier & A Yu Khrennikov) Mathematical Foundations: Where the Mathematical Structure of Quantum Mechanics Comes From (G M D'Ariano) Phase Space Description of Quantum Mechanics and Non-Commutative Geometry: Wigner-Moyal and Bohm in a Wider Context (B J Hiley) Quantum Mechanics as Simple Algorithm for Approximation of Classical Integrals (A Yu Khrennikov) Stochastic Electrodynamics: Some Quantum Experiments from the Point of View of Stochastic Electrodynamics (V epi ka et al.) Models for the Electron: Rotating Hopf-Kinks: Oscillators in the Sense of de Broglie (U Enz) The Electron and the Neutrino as Solitos in Classical Electromagnetism (Th M Nieuwenhuizen) Philosophical Considerations Round Table and other papers.

Related papers

Quantum Theory and Beyond: Essays and Discussions Arising from a Colloquium

Ted Bastin

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.

•Apr 20, 2009•31 citations

Introduction

Andrei Yu. Khrennikov

This section contains the author’s reminiscences of meetings in Va¨xjo¨, philosophical and historical remarks on views of Hertz, Boltzmann, Planck, Einstein, Bohr, Schro¨dinger, Fock, von Neumann, de Broglie, Kolmogorov, von Mises, Lamb and Scully, Lande, Bohm and Hiley, Mackey, Marshall and Brafford, Klyshko, Vorob’jev, Boyer, de la Pena and Cetto, Emch, Cole, Ballentine, Mermin, Gudder, Lahti, Ozawa, Vidman, Peres, Ohya, Accardi, Gill, Larsson, Fuchs, Plotnitsky, Zeilinger, Genovese, Jaeger, Hardy, Zurek, D’ Ariano, Aspect, Rauch, Weihs, Volovich, Belavkin, Ozawa, De Muynck, De Baere, Elitzur, Peres, Nieuwenhuizen, Greenberger, Migdal, Polyakov, Hess and Philipp, ‘t Hooft, Adenier, De Raedt, . . . This section may be of interest to some readers as it contains details of history of quantum foundations; or the reader can jump directly to Section 1.2, which contains a short introduction to my “beyond quantum model”— prequantum classical statistical field theory (PCSFT).

•Mar 19, 2014•0 citations

The Essentials of Quantum Mechanics

Radhika Vathsan

How do we describe the state of a quantum mechanical physical system in a mathematically precise way? How do we ascribe physical properties to this system? How does the system evolve in time? How do its properties change when it interacts with another system or a force? How do we measure and determine its properties? These are the questions whose answers are encoded in the laws of quantum mechanics to be set down in this chapter. They have been inscribed in this form after nearly half a century of experimental observations, theoretical modeling, and intellectual gymnastics to tie up the two in a satisfactory and robust structure.

CRC Press eBooks•Jul 21, 2015•0 citations

Perspectives on quantum reality : non-relativistic, relativistic, and field-theoretic

Rob Clifton

Preface. In defense of dogma: why there cannot be a relativistic quantum mechanics of (localizable) particles D.B. Malament. Just how radical is hyperplane dependence? G. Fleming. Is there superluminal causation in relativistic quantum field theory? M. Redei. EPR, relativity, and the GHZ experiment C. Pagonis, et al. Hidden quantum non-locality N.D. Mermin. Royer's measurements - the rise and fall of (yet another) signalling scheme I. Pitowsky. Tails of Schrodinger's cat D.Z. Albert, B. Loewer. Wavefunction collapse models with nonwhite noise P. Pearle. The emergence of classical properties from quantum mechanics L.E. Ballentine. Relativism S. Saunders. Wave and particle concepts in quantum field theory P. Teller. The conceptual relation between standard quantum mechanics and quantum field theory D. Robinson. What measurement problem? J.T. Cushing. Bovine metaphysics: remarks on the significance of the gravitational phase effect in quantum mechanics H.R. Brown. Exotic (quixotic?) applications of Bohm theory R. Weingard. Complementarity and the orthodox (Dirac-von Neumann) interpretation of quantum mechanics J. Bub. Logical reflections on the Kochen-Specker theorem J.L. Bell. Construction of quantum mechanics via commutative operations S. Kochen.

Kluwer Academic Publishers eBooks•Jan 1, 1996•10 citations

Open questions in quantum physics : invited papers on the foundations of microphysics

Gino Tarozzi, Alwyn van der Merwe

1. Quantum Mechanics, Reality and Separability: Physical Developments of the Einstein-Podolsky-Rosen Argument.- Realism in Quantum Mechanics and a New Version of the EPR Experiment.- Discussion: M. Cini, F. De Martini, K. Kraus, T.W. Marshall, K.R. Popper, H. Rauch, M.C. Robinson, F. Selleri, J. Six, G. Tarozzi, J.-P. Vigier..- The Physical Origin of the Einstein-Podolsky-Rosen Paradox.- Does the Bell Inequality Hold for All Local Theories?.- Is it Possible to Save Causality and Locality in Quantum Mechanics?.- Einstein-Podolsky-Rosen Experiments and Macroscopic Locality.- On the Compatibility of Local Realism with Atomic Cascade Experiments.- Is the Einstein-Podolsky-Rosen Paradox Demanded by Quantum Mechanics?.- Infinite Wave Resolution of the EPR Paradox.- On Non Local Influences.- Einstein Locality for Individual Systems and for Statistical Ensembles.- Can Nondetected Photons Simulate Nonlocal Effects in Two-Photon Polarization Correlation Experiments?.- 2. The Stochastic Interpretation of Quantum Processes.- Quantum Theory of Measurement without Wave Packet Collapse.- A Causal Fluidodynamical Model for the Relativistic Quantum Mechanics.- On the Nonlinear Schrodinger Equation.- Recent Developments in de Broglie Nonlinear Wave Mechanics.- The Role of the Quantum Potential in Determining Particle Trajectories and the Resolution of the Measurement Problem.- When is Statistical Theory Causal?.- Radiation Damping and Nonlinearity in the Pilot Wave Interpretation of Quantum Mechanics.- Stochastic Electrodynamics and the Bell Inequalities.- Nonlocal Quantum-Potential Interpretation of Relativistic Actions at a Distance in Many-Body Problems.- 3. The Realistic Interpretation of the Wave Function: Experimental Tests on the Wave-Particle Dualism.- Third Kind Measurements and Wave-Particle Dualism.- Quantum Effects in the Interference of Light.- Tests of Quantum Mechanics by Neutron Interferometry.- A Unified Experiment for Testing both the Interpretation and the Reduction Postulate of the Quantum Mechanical Wave Function.- Epilogue.- Evolutionary Epistemology.

D. Reidel , Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers eBooks•Jan 1, 1985•9 citations

Quantum Theory

Jochen Rau

Recent advances in quantum technology – from quantum computers and simulators to communication and metrology – have not only opened up a whole new world of applications but also changed the understanding of quantum theory itself. This text introduces quantum theory entirely from this new perspective. It does away with the traditional approach to quantum theory as a theory of microscopic matter, and focuses instead on quantum theory as a framework for information processing. Accordingly, the emphasis is on concepts like measurement, probability, statistical correlations, and transformations, rather than waves and particles. The text begins with experimental evidence that forces one to abandon the classical description and to re-examine such basic notions as measurement, probability, and state. Thorough investigation of these concepts leads to the alternative framework of quantum theory. The requisite mathematics is developed and linked to its operational meaning. This part of the text culminates in an exploration of some of the most vexing issues of quantum theory, regarding locality, non-contextuality, and realism. The second half of the text explains how the peculiar features of quantum theory are harnessed to tackle information processing tasks that are intractable or even impossible classically. It provides the tools for understanding and designing the pertinent protocols, and discusses a range of examples representative of current quantum technology.

Oxford University Press eBooks•May 27, 2021•3 citations
Introduction: The Mathematical Basis for Deterministic Quantum Mechanics (G 't Hooft) What Did We Learn from Quantum Gravity? (A Ashtekar) Bose-Einstein Condensates and EPR Quantum Non-Locality (F Laloe) The Quantum Measurement Process: Lessons from an Exactly Solvable Model (A E Allahverdyan et al.) Quantum Mechanics and Quantum Information: POVMs: A Small but Important Step Beyond Standard Quantum Mechanics (W M de Muynck) State Reduction by Measurements with a Null Result (G Nienhuis) Solving Open Questions in the Bose-Einstein Condensation of an Ideal Gas via a Hybrid Mixture of Laser and Statistical Physics (M Kim et al.) Long Distance Correlations and Bell Inequalities: Fair Sampling vs No-Signalling Principle in EPR Experiments (G Adenier & A Yu Khrennikov) Mathematical Foundations: Where the Mathematical Structure of Quantum Mechanics Comes From (G M D'Ariano) Phase Space Description of Quantum Mechanics and Non-Commutative Geometry: Wigner-Moyal and Bohm in a Wider Context (B J Hiley) Quantum Mechanics as Simple Algorithm for Approximation of Classical Integrals (A Yu Khrennikov) Stochastic Electrodynamics: Some Quantum Experiments from the Point of View of Stochastic Electrodynamics (V epi ka et al.) Models for the Electron: Rotating Hopf-Kinks: Oscillators in the Sense of de Broglie (U Enz) The Electron and the Neutrino as Solitos in Classical Electromagnetism (Th M Nieuwenhuizen) Philosophical Considerations Round Table and other papers.
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.
This section contains the author’s reminiscences of meetings in Va¨xjo¨, philosophical and historical remarks on views of Hertz, Boltzmann, Planck, Einstein, Bohr, Schro¨dinger, Fock, von Neumann, de Broglie, Kolmogorov, von Mises, Lamb and Scully, Lande, Bohm and Hiley, Mackey, Marshall and Brafford, Klyshko, Vorob’jev, Boyer, de la Pena and Cetto, Emch, Cole, Ballentine, Mermin, Gudder, Lahti, Ozawa, Vidman, Peres, Ohya, Accardi, Gill, Larsson, Fuchs, Plotnitsky, Zeilinger, Genovese, Jaeger, Hardy, Zurek, D’ Ariano, Aspect, Rauch, Weihs, Volovich, Belavkin, Ozawa, De Muynck, De Baere, Elitzur, Peres, Nieuwenhuizen, Greenberger, Migdal, Polyakov, Hess and Philipp, ‘t Hooft, Adenier, De Raedt, . . . This section may be of interest to some readers as it contains details of history of quantum foundations; or the reader can jump directly to Section 1.2, which contains a short introduction to my “beyond quantum model”— prequantum classical statistical field theory (PCSFT).
How do we describe the state of a quantum mechanical physical system in a mathematically precise way? How do we ascribe physical properties to this system? How does the system evolve in time? How do its properties change when it interacts with another system or a force? How do we measure and determine its properties? These are the questions whose answers are encoded in the laws of quantum mechanics to be set down in this chapter. They have been inscribed in this form after nearly half a century of experimental observations, theoretical modeling, and intellectual gymnastics to tie up the two in a satisfactory and robust structure.
Preface. In defense of dogma: why there cannot be a relativistic quantum mechanics of (localizable) particles D.B. Malament. Just how radical is hyperplane dependence? G. Fleming. Is there superluminal causation in relativistic quantum field theory? M. Redei. EPR, relativity, and the GHZ experiment C. Pagonis, et al. Hidden quantum non-locality N.D. Mermin. Royer's measurements - the rise and fall of (yet another) signalling scheme I. Pitowsky. Tails of Schrodinger's cat D.Z. Albert, B. Loewer. Wavefunction collapse models with nonwhite noise P. Pearle. The emergence of classical properties from quantum mechanics L.E. Ballentine. Relativism S. Saunders. Wave and particle concepts in quantum field theory P. Teller. The conceptual relation between standard quantum mechanics and quantum field theory D. Robinson. What measurement problem? J.T. Cushing. Bovine metaphysics: remarks on the significance of the gravitational phase effect in quantum mechanics H.R. Brown. Exotic (quixotic?) applications of Bohm theory R. Weingard. Complementarity and the orthodox (Dirac-von Neumann) interpretation of quantum mechanics J. Bub. Logical reflections on the Kochen-Specker theorem J.L. Bell. Construction of quantum mechanics via commutative operations S. Kochen.
1. Quantum Mechanics, Reality and Separability: Physical Developments of the Einstein-Podolsky-Rosen Argument.- Realism in Quantum Mechanics and a New Version of the EPR Experiment.- Discussion: M. Cini, F. De Martini, K. Kraus, T.W. Marshall, K.R. Popper, H. Rauch, M.C. Robinson, F. Selleri, J. Six, G. Tarozzi, J.-P. Vigier..- The Physical Origin of the Einstein-Podolsky-Rosen Paradox.- Does the Bell Inequality Hold for All Local Theories?.- Is it Possible to Save Causality and Locality in Quantum Mechanics?.- Einstein-Podolsky-Rosen Experiments and Macroscopic Locality.- On the Compatibility of Local Realism with Atomic Cascade Experiments.- Is the Einstein-Podolsky-Rosen Paradox Demanded by Quantum Mechanics?.- Infinite Wave Resolution of the EPR Paradox.- On Non Local Influences.- Einstein Locality for Individual Systems and for Statistical Ensembles.- Can Nondetected Photons Simulate Nonlocal Effects in Two-Photon Polarization Correlation Experiments?.- 2. The Stochastic Interpretation of Quantum Processes.- Quantum Theory of Measurement without Wave Packet Collapse.- A Causal Fluidodynamical Model for the Relativistic Quantum Mechanics.- On the Nonlinear Schrodinger Equation.- Recent Developments in de Broglie Nonlinear Wave Mechanics.- The Role of the Quantum Potential in Determining Particle Trajectories and the Resolution of the Measurement Problem.- When is Statistical Theory Causal?.- Radiation Damping and Nonlinearity in the Pilot Wave Interpretation of Quantum Mechanics.- Stochastic Electrodynamics and the Bell Inequalities.- Nonlocal Quantum-Potential Interpretation of Relativistic Actions at a Distance in Many-Body Problems.- 3. The Realistic Interpretation of the Wave Function: Experimental Tests on the Wave-Particle Dualism.- Third Kind Measurements and Wave-Particle Dualism.- Quantum Effects in the Interference of Light.- Tests of Quantum Mechanics by Neutron Interferometry.- A Unified Experiment for Testing both the Interpretation and the Reduction Postulate of the Quantum Mechanical Wave Function.- Epilogue.- Evolutionary Epistemology.
Recent advances in quantum technology – from quantum computers and simulators to communication and metrology – have not only opened up a whole new world of applications but also changed the understanding of quantum theory itself. This text introduces quantum theory entirely from this new perspective. It does away with the traditional approach to quantum theory as a theory of microscopic matter, and focuses instead on quantum theory as a framework for information processing. Accordingly, the emphasis is on concepts like measurement, probability, statistical correlations, and transformations, rather than waves and particles. The text begins with experimental evidence that forces one to abandon the classical description and to re-examine such basic notions as measurement, probability, and state. Thorough investigation of these concepts leads to the alternative framework of quantum theory. The requisite mathematics is developed and linked to its operational meaning. This part of the text culminates in an exploration of some of the most vexing issues of quantum theory, regarding locality, non-contextuality, and realism. The second half of the text explains how the peculiar features of quantum theory are harnessed to tackle information processing tasks that are intractable or even impossible classically. It provides the tools for understanding and designing the pertinent protocols, and discusses a range of examples representative of current quantum technology.