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Kluwer Academic Pub. eBooks

The Nature of Quantum Paradoxes Italian Studies in the Foundations and Philosophy of Modern Physics

Gino Tarozzi, Alwyn van der Merwe

Published Jan 1, 1988• 4 citations
OpenAlex

Abstract

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).

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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

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1 History of the Einstein-Podolsky-Rosen Paradox.- 2 Are Faster-Than-Light Influences Necessary?.- 3 All the Inequalities of Einstein Locality.- 4 Einstein-Podolsky-Rosen Experiments Using the Decays of ?c or J/? into ??? ? ?-?p?+p?.- Chapter5 Einstein-Podolsky-Rosen Paradox for the K0-K?0 and B0-B?0 Systems.- 6 Even Local Probabilities Lead to the Paradox.- 7 The Experimental Investigation of the Einstein-Podolsky-Rosen Question and Bell's Inequality.- 8 Rapisarda's Experiment: Testing Quantum Mechanics versus Local Hidden-Variable Theories with Dichotomic Analyzers.- 9 Nonlocality and the Einstein-Podolsky-Rosen Experiment as Understood through the Quantum-Potential Approach.- 10 Interpretation of the Einstein-Podolsky-Rosen Effect in Terms of a Generalized Causality.- 11 Quantum Action-at-a-Distance: The Mystery of Einstein-Podolsky-Rosen Correlations.- 12 Particle Trajectories and Quantum Correlations.- 13 Bell's Inequality and the Nonergodic Interpretation of Quantum Mechanics.- 14 An Extended-Probability Response to the Einstein-Podolsky-Rosen Argument.- 15 The Search for Hidden Variables in Quantum Mechanics.- 16 Variable Detection Probability Models for Einstein-Podolsky-Rosen-Type Experiments.- 17 Stochastic Electrodynamics and the Einstein-Podolsky-Rosen Argument.- 18 Explicit Calculations with a Hidden-Variable Spin Model.- 19 Symmetric and Asymmetric Models for Atomic Cascade Experiments.

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Microphysical reality and quantum formalism : proceedings of the Conference 'Microphysical Reality and Quantum Formalism', Urbino, Italy, September 25th - October 3rd, 1985

Microphysical Reality, Quantum Formalism, Alwyn van der Merwe +2 more

Quantum Measurements.- Quantum mechanics of macroscopic systems and measurement processes.- The haunted measurement in quantum theory.- A quantum-statistical model of quantum measurement.- Potential and real states in quantum mechanics.- Wave function collapse in the ensemble interpretation.- Nonlinear models for quantum-mechanical measurements.- Meaning and measurability of nonlocal quantum states.- New Developments of Quantum Theory.- The mathematical expression of the uncertainty principle.- Quantization of Hamiltonian theories based on a probability operator.- Classical to quantum: A generalized phase transition.- Quantum description of microscopic and microscopic systems: Old problems and recent investigations.- Towards a process formalism in quantum physics.- A generalized Schroedinger formalism from a Hamiltonian flow in a higher dimensional space.- How the nonlinear phenomena impose the reinterpretation of quantum mechanics.- On the equivalence between the superposition principle and a global gauge invariance.- Meanings of Quantum Theory.- The 2-photon elementary quantum phenomenon and spacetime structure.- Causality as indentified with conditional probability and the quantal nonseparability.- Realism versus positivism: An attempt at reconcilement in the Einstein-Bohr debate.- Four-dimensional realism and waves carrying physical data codedly as keys to understandable models.- Testing interpretations of quantum mechanics.- On the relation between the recent new statistical prediction of quantum mechanics by Albert, Aharonov, and D'Amato, the EPR reasoning, and Bell's Inequality.- Beyond quantum theory: A realist psycho-biological interpretation of physical reality.- Locality, causality, quantum events, and all that.- The Einstein-Bohr debate: I. The background.- Contingency and lawfulness: Conditions for encounter.- Epr Paradox: Critical Examinations.- Towards a realist theory of measurement.- The tacit postulate on single events and the comparison of classical and quantum spin correlation experiments.- Weak realism for pairs of correlated systems.- Comments on EPR, locality and reality.- The EPR and the proposal of action at a distance.- The discription of separated systems and quantum mechanics and a possible explanation for the probabilities of quantum mehanics.- Against dualism: An observation concerning non-locality.- Bell's theorem: A note on locality.- EPR paradox considered as a criticism of the statevector reduction in the quantum mechanical description of correlated separated systems.- EPR and the strange nature of the quantum state or why I can live with EPR.- Why the EPR paradox has been resolved in favor of Einstein.- Probability and the way out of the great quantum muddle.- Where lies the mistake in the clauser and Home proof of Bell's theorem?.

Kluwer Academic Publishers eBooks•Jan 1, 1988•3 citations

New Vistas on Old Problems

Tilman Sauer, Adrian Wüthrich

Quantum theory has been a subject of interpretational debates ever since its inception. The Einstein-Podolsky-Rosen paradox, the empirical violation of Bell’s inequalities, and recent activities to exploit quantum entanglement for technological innovation only exacerbate a long-standing philosophical debate. Despite no-signaling theorems and theories of decoherence, deep-rooted conflicts between special relativistic principles and observed quantum correlations as well as between definite measurement outcomes and quantum theoretical superpositions persist. This collection of papers, first presented at an international symposium at the University of Bern in 2011, highlights some recent approaches to the old problems of a philosophy of quantum mechanics. The authors address the issues from a variety of perspectives, ranging from variations of causal theory and system theoretic interpretations of the observer to an empirical test of whether entanglement itself can be entangled. The essays demonstrate that the discussion about the foundations of quantum mechanics is as lively and interesting as ever.

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Language, Quantum, Music Selected Contributed Papers of the Tenth International Congress of Logic, Methodology, and Philosophy of Science, Florence, August 1995

María Luisa Dalla Chiara, Roberto Giuntini, Federico Laudisa

Editorial. Part I: Epistemology and Philosophy of Language. A Realism, Idealism, and General Terms E. Bencivenga. From Normal Machine to Social Colony: Toward a Complex Dynamical Philosophy of Science W.E. Herfel, C.A. Hooker. Observation and Reliable Detection P. Humphreys. Conceptual Idealism and Stove's Gem A. Musgrave. Holism in Artificial Intelligence C. Penco. Part II: Philosophy of Probability. Model Selection for Causal Theories B. Desjardins. Nonstandard Analysis and a Classification of Probability Spaces S. Fajardo. Some Remarks on Objective Chance (F.P. Ramsey, K.R. Popper and N.R. Campbell) M.C. Galavotti. Misapprehensions about Significance Tests and Bayesianism M.G. Sandrini. Part III: Philosophy and Foundations of Physics. The Quantum Probabilistic Approach to the Foundations of Quantum Theory: Urns and Chameleons L. Accardi. The Creation-discovery-view: Towards a Possible Explanation of Quantum Reality D. Aerts, B. Coecke. Virtual Reality: Consequences of No-Go Theorems for the Modal Interpretation of Quantum Mechanics G. Bacciagaluppi, P. Vermaas. Is Chaos Indeterministic? R.C. Bishop, F.M. Kronz. Wormholes and Timelike Curves: Is There Room for the Grandfather Paradox? G. Boniolo. John von Neumann met Kurt Godel: Undecidable Statements in Quantum Mechanics T. Breuer. Set-theoretical Models for Quantum Systems N.C. da Costa, D. Krause. Non-Ideal Measurements and Physical Possibility in Quantum Mechanics M. Del Seta, M. Suarez. Time, Relativity, and the Spatiality of Mental Events M. Dorato. Bell-type Inequalities and Orthomodular Lattices A. Dvurecenskij. An Informal Presentation of Semantic Realism and Its Solution of Quantum Paradoxes C. Garola.Individualistic versus Statistical Interpretation of Quantum Mechanics P. Mittelstaedt. The Locality Scandal of Quantum Mechanics F.A. Muller. Uncertainty and Dependence in Classical and Quantum Logic -- the Role of Triangular Norms. Quantum Logics and Quantum Measurements M. Navara, P. Ptak. Quantum Logics and Quantum Measurements S. Pulmannova. Attempt at the Logical Explanation of the Wave-particle duality J. Pykacz. Part IV: History of Science. The Bohr-Einstein Photon Box Debate D. Dieks. Kantianism and Physics from the 19th to the 20th Century. Part V: Science and Music. Epimoric Ratios and Greek Musical Theory F. Bellissima. Music and Science G. Toraldo di Francia.

Kluwer Academic Publishers eBooks•Jan 1, 1999•5 citations

Quantum Mechanics, Nonlinear Dynamics, and Correlated Statistical Mechanics

Wm. C. McHarris

Many of the so‐called paradoxes of orthodox quantum mechanics can be shown to have parallel, more logical interpretations in the realm of nonlinear dynamics and chaos theory. Among these are violations of Bell‐type inequalities, which in comparing “classical” mechanics with quantum mechanics implicitly compare uncorrelated and correlated statistics. During the past decade research in the field of nonextensive thermodynamics (including Tsallis entropy) has demonstrated the existence of many statistical correlations in classical, nonlinear systems. When such correlations exist, the conventional classical upper limit on statistical correlations in Bell‐type experiments can easily be raised to overlap with quantum mechanical predictions involving correlated states such as the Bell singlet state, a favorite for deriving Bell inequalities. Thus, arguments based on experimental violations of Bell‐type inequalities, which rule out the existence of “local reality,” become moot. Perhaps quantum mechanics does have a deterministic, ontological basis, albeit one based in nonlinear dynamics and chaos theory. If so, deterministic chaos could provide Einstein’s longed‐for fundamental determinism, but because chaotic systems must be interpreted statistically, this also fits in quite well with the ideas of Bohr — Einstein and Bohr both could have been correct! It should be emphasized that the concept of nonlinear dynamics and chaos underpinning quantum mechanics does not involve hidden variables, nor does the fact that chaos is deterministic interlope on the existence of free will.

AIP conference proceedings•Jan 1, 2007•0 citations
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).
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.
1 History of the Einstein-Podolsky-Rosen Paradox.- 2 Are Faster-Than-Light Influences Necessary?.- 3 All the Inequalities of Einstein Locality.- 4 Einstein-Podolsky-Rosen Experiments Using the Decays of ?c or J/? into ??? ? ?-?p?+p?.- Chapter5 Einstein-Podolsky-Rosen Paradox for the K0-K?0 and B0-B?0 Systems.- 6 Even Local Probabilities Lead to the Paradox.- 7 The Experimental Investigation of the Einstein-Podolsky-Rosen Question and Bell's Inequality.- 8 Rapisarda's Experiment: Testing Quantum Mechanics versus Local Hidden-Variable Theories with Dichotomic Analyzers.- 9 Nonlocality and the Einstein-Podolsky-Rosen Experiment as Understood through the Quantum-Potential Approach.- 10 Interpretation of the Einstein-Podolsky-Rosen Effect in Terms of a Generalized Causality.- 11 Quantum Action-at-a-Distance: The Mystery of Einstein-Podolsky-Rosen Correlations.- 12 Particle Trajectories and Quantum Correlations.- 13 Bell's Inequality and the Nonergodic Interpretation of Quantum Mechanics.- 14 An Extended-Probability Response to the Einstein-Podolsky-Rosen Argument.- 15 The Search for Hidden Variables in Quantum Mechanics.- 16 Variable Detection Probability Models for Einstein-Podolsky-Rosen-Type Experiments.- 17 Stochastic Electrodynamics and the Einstein-Podolsky-Rosen Argument.- 18 Explicit Calculations with a Hidden-Variable Spin Model.- 19 Symmetric and Asymmetric Models for Atomic Cascade Experiments.
Quantum Measurements.- Quantum mechanics of macroscopic systems and measurement processes.- The haunted measurement in quantum theory.- A quantum-statistical model of quantum measurement.- Potential and real states in quantum mechanics.- Wave function collapse in the ensemble interpretation.- Nonlinear models for quantum-mechanical measurements.- Meaning and measurability of nonlocal quantum states.- New Developments of Quantum Theory.- The mathematical expression of the uncertainty principle.- Quantization of Hamiltonian theories based on a probability operator.- Classical to quantum: A generalized phase transition.- Quantum description of microscopic and microscopic systems: Old problems and recent investigations.- Towards a process formalism in quantum physics.- A generalized Schroedinger formalism from a Hamiltonian flow in a higher dimensional space.- How the nonlinear phenomena impose the reinterpretation of quantum mechanics.- On the equivalence between the superposition principle and a global gauge invariance.- Meanings of Quantum Theory.- The 2-photon elementary quantum phenomenon and spacetime structure.- Causality as indentified with conditional probability and the quantal nonseparability.- Realism versus positivism: An attempt at reconcilement in the Einstein-Bohr debate.- Four-dimensional realism and waves carrying physical data codedly as keys to understandable models.- Testing interpretations of quantum mechanics.- On the relation between the recent new statistical prediction of quantum mechanics by Albert, Aharonov, and D'Amato, the EPR reasoning, and Bell's Inequality.- Beyond quantum theory: A realist psycho-biological interpretation of physical reality.- Locality, causality, quantum events, and all that.- The Einstein-Bohr debate: I. The background.- Contingency and lawfulness: Conditions for encounter.- Epr Paradox: Critical Examinations.- Towards a realist theory of measurement.- The tacit postulate on single events and the comparison of classical and quantum spin correlation experiments.- Weak realism for pairs of correlated systems.- Comments on EPR, locality and reality.- The EPR and the proposal of action at a distance.- The discription of separated systems and quantum mechanics and a possible explanation for the probabilities of quantum mehanics.- Against dualism: An observation concerning non-locality.- Bell's theorem: A note on locality.- EPR paradox considered as a criticism of the statevector reduction in the quantum mechanical description of correlated separated systems.- EPR and the strange nature of the quantum state or why I can live with EPR.- Why the EPR paradox has been resolved in favor of Einstein.- Probability and the way out of the great quantum muddle.- Where lies the mistake in the clauser and Home proof of Bell's theorem?.
Quantum theory has been a subject of interpretational debates ever since its inception. The Einstein-Podolsky-Rosen paradox, the empirical violation of Bell’s inequalities, and recent activities to exploit quantum entanglement for technological innovation only exacerbate a long-standing philosophical debate. Despite no-signaling theorems and theories of decoherence, deep-rooted conflicts between special relativistic principles and observed quantum correlations as well as between definite measurement outcomes and quantum theoretical superpositions persist. This collection of papers, first presented at an international symposium at the University of Bern in 2011, highlights some recent approaches to the old problems of a philosophy of quantum mechanics. The authors address the issues from a variety of perspectives, ranging from variations of causal theory and system theoretic interpretations of the observer to an empirical test of whether entanglement itself can be entangled. The essays demonstrate that the discussion about the foundations of quantum mechanics is as lively and interesting as ever.
Editorial. Part I: Epistemology and Philosophy of Language. A Realism, Idealism, and General Terms E. Bencivenga. From Normal Machine to Social Colony: Toward a Complex Dynamical Philosophy of Science W.E. Herfel, C.A. Hooker. Observation and Reliable Detection P. Humphreys. Conceptual Idealism and Stove's Gem A. Musgrave. Holism in Artificial Intelligence C. Penco. Part II: Philosophy of Probability. Model Selection for Causal Theories B. Desjardins. Nonstandard Analysis and a Classification of Probability Spaces S. Fajardo. Some Remarks on Objective Chance (F.P. Ramsey, K.R. Popper and N.R. Campbell) M.C. Galavotti. Misapprehensions about Significance Tests and Bayesianism M.G. Sandrini. Part III: Philosophy and Foundations of Physics. The Quantum Probabilistic Approach to the Foundations of Quantum Theory: Urns and Chameleons L. Accardi. The Creation-discovery-view: Towards a Possible Explanation of Quantum Reality D. Aerts, B. Coecke. Virtual Reality: Consequences of No-Go Theorems for the Modal Interpretation of Quantum Mechanics G. Bacciagaluppi, P. Vermaas. Is Chaos Indeterministic? R.C. Bishop, F.M. Kronz. Wormholes and Timelike Curves: Is There Room for the Grandfather Paradox? G. Boniolo. John von Neumann met Kurt Godel: Undecidable Statements in Quantum Mechanics T. Breuer. Set-theoretical Models for Quantum Systems N.C. da Costa, D. Krause. Non-Ideal Measurements and Physical Possibility in Quantum Mechanics M. Del Seta, M. Suarez. Time, Relativity, and the Spatiality of Mental Events M. Dorato. Bell-type Inequalities and Orthomodular Lattices A. Dvurecenskij. An Informal Presentation of Semantic Realism and Its Solution of Quantum Paradoxes C. Garola.Individualistic versus Statistical Interpretation of Quantum Mechanics P. Mittelstaedt. The Locality Scandal of Quantum Mechanics F.A. Muller. Uncertainty and Dependence in Classical and Quantum Logic -- the Role of Triangular Norms. Quantum Logics and Quantum Measurements M. Navara, P. Ptak. Quantum Logics and Quantum Measurements S. Pulmannova. Attempt at the Logical Explanation of the Wave-particle duality J. Pykacz. Part IV: History of Science. The Bohr-Einstein Photon Box Debate D. Dieks. Kantianism and Physics from the 19th to the 20th Century. Part V: Science and Music. Epimoric Ratios and Greek Musical Theory F. Bellissima. Music and Science G. Toraldo di Francia.
Many of the so‐called paradoxes of orthodox quantum mechanics can be shown to have parallel, more logical interpretations in the realm of nonlinear dynamics and chaos theory. Among these are violations of Bell‐type inequalities, which in comparing “classical” mechanics with quantum mechanics implicitly compare uncorrelated and correlated statistics. During the past decade research in the field of nonextensive thermodynamics (including Tsallis entropy) has demonstrated the existence of many statistical correlations in classical, nonlinear systems. When such correlations exist, the conventional classical upper limit on statistical correlations in Bell‐type experiments can easily be raised to overlap with quantum mechanical predictions involving correlated states such as the Bell singlet state, a favorite for deriving Bell inequalities. Thus, arguments based on experimental violations of Bell‐type inequalities, which rule out the existence of “local reality,” become moot. Perhaps quantum mechanics does have a deterministic, ontological basis, albeit one based in nonlinear dynamics and chaos theory. If so, deterministic chaos could provide Einstein’s longed‐for fundamental determinism, but because chaotic systems must be interpreted statistically, this also fits in quite well with the ideas of Bohr — Einstein and Bohr both could have been correct! It should be emphasized that the concept of nonlinear dynamics and chaos underpinning quantum mechanics does not involve hidden variables, nor does the fact that chaos is deterministic interlope on the existence of free will.