
Quantum Causality
Conceptual Issues in the Causal Theory of Quantum Mechanics
By: Peter J. Riggs
Hardcover | 12 June 2009
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244 Pages
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This is a treatise devoted to the foundations of quantum physics and the role that causality plays in the microscopic world governed by the laws of quantum mechanics. There is no sharp dividing line between physics and philosophy of physics. This is especially true for quantum physics where debate on its interpretation and the status of the various entities postulated has raged in both the scientific and philosophical communities since the 1920s and continues to this day. Although it is readily granted that quantum mechanics produces some strange and counter-intuitive results, it is argued in Quantum Causality that quantum mechanics is not as weird as we might have been led to believe.
The dominant theory of quantum mechanics is called Orthodox Quantum Theory (also known as the Copenhagen Interpretation). Orthodox Quantum Theory is a 'theoretical tool' for making predictions for the possible results of experiments on quantum systems and requires the intervention of an observer or an observer's proxy (e.g. a measuring apparatus) in order to produce predictions. Orthodox Quantum Theory does away with the notion of causality and denies the existence of an underlying quantum realm.
If we are to explain physical reality, a better understanding of the foundations of quantum physics is needed than can be provided by Orthodox Quantum Theory. The way to achieve this understanding is to specify both the ontology and the laws that govern the quantum realm. (A theory's ontology is the set of assertions about the entities and processes that exist according to the theory.) The Causal Theory of Quantum Mechanics (also known as de Broglie-Bohm Theory) does this by describing micro-phenomena in terms of entities and processes in space and time, thereby embracing causality at the quantum level. Quantum Causality is a philosophical account of the Causal Theory and the place of causality in the quantum realm. Solutions are advanced to the principal conceptual issues that confront the Causal Theory. Conceptual problems occur when a theory is in conflict with another well-established belief. In Quantum Causality, solutions are presented to conceptual problems about the nature of energy, the conservation of energy, fundamental physical forces, and the Pauli Exclusion Principle within the context of the Causal Theory. These issues and their relationships are explored in order to advance understanding of causality in the quantum arena.
The Causal Theory is not well known within the physics community and many physicists who do know of it are generally dismissive in their attitudes. This is a historical legacy inherited by the majority of the physics community from the most influential founders of quantum mechanics, Niels Bohr and Werner Heisenberg. They both denied the independent existence of a quantum level of reality and declared that causality does not apply to quantum events.
Quantum Causality shows that the Causal Theory of Quantum Mechanics is a viable physical theory that provides realistic explanations for quantum phenomena. Much of what is argued for in this book will be controversial but, at the very least, these arguments will likely engender some lively debate on the various issues raised.
Industry Reviews
From the reviews:
"This text on the derivation of both the time dependent and time independent Schrodinger equations is breaking new ground concerning the single, 2D, and 3D quantum mechanical systems. It is very well written and superbly written for both student and expert ... . the text will be of great value for future physicists, chemists, and other fields of science at both the introductory level, but also in addition to more advanced levels in both teaching/ research. I highly recommend this book for all readers." (Joseph J. Grenier, Amazon.com, November, 2013)| List of Figures | p. xi |
| General Introduction | |
| Quantum Reality | p. 1 |
| Causation, Causality, and Determinism | p. 5 |
| Introducing the Causal Theory of Quantum Mechanics | p. 10 |
| Assessing Rival Scientific Theories | p. 14 |
| Conceptual Issues, Theoretical and Conceptual Problems | p. 15 |
| Preliminaries | |
| Orthodox Quantum Theory and its Mathematical Formalism | p. 19 |
| Axioms of Orthodox Quantum Theory | p. 23 |
| Uncertainty at the Quantum Level | p. 27 |
| The Measurement Problem and Quantum Paradoxes | p. 31 |
| The Measurement Problem | p. 31 |
| Einstein-Podosky-Rosen (EPR) Paradox | p. 34 |
| Schrodinger's Cat | p. 35 |
| `Hidden Variable' Theories and Impossibility Proofs | p. 36 |
| Kochen and Specker Theorem | p. 37 |
| Bell's Theorem | p. 41 |
| The Causal Theory of Quantum Mechanics | |
| Motivations for the Causal Theory | p. 45 |
| An Axiomatic Foundation | p. 48 |
| Axioms of the Causal Theory (Single Particle Case) | p. 50 |
| One Particle States | p. 51 |
| Statistical Predictions | p. 59 |
| Dynamic Theory of Measurement | p. 62 |
| Many Particle States and Non-Locality | p. 67 |
| Many Particle Systems in the Causal Theory | p. 67 |
| The Reality of the Many-Particle Wave Field | p. 69 |
| The Non-Locality Aspect | p. 72 |
| Resolution of the Quantum Paradoxes | p. 73 |
| EPR (Einstein-Podosky-Rosen) | p. 73 |
| Schrodinger's Cat | p. 74 |
| Transition to the Classical Realm | p. 74 |
| Quantum Equilibrium, Metaphysics, and Consistency | p. 75 |
| The Quantum Equilibrium Condition | p. 75 |
| Metaphysical Labelling | p. 77 |
| Consistency of the Causal Theory | p. 78 |
| Energy and the Wave Field | |
| The Wave Field and the Concept of Energy | p. 79 |
| The Active Information Hypothesis | p. 84 |
| A Non-Interactive Approach to the Wave Field | p. 88 |
| The Physical Nature of Potential Energy | p. 90 |
| The Existence and Characteristics of the Wave Field | p. 95 |
| The Double Slit Experiment | p. 96 |
| The Aharonov-Bohm Effect | p. 99 |
| Matter Wave Manipulation | p. 101 |
| Non-Locality and the Wave Field | p. 104 |
| Can the Causal Theory be made Relativistic? | p. 107 |
| Energy-Momentum Transfer and the Quantum Potential | |
| Energy Conservation in the Causal Theory? | p. 109 |
| Energy-Momentum Exchange in Single Particle States | p. 110 |
| Aspects of Energy Transfer and Storage in a Quantum System | p. 113 |
| Non-Violation of Special Relativity | p. 114 |
| Wave Field Energy and its Transfer | p. 115 |
| Application to the Gaussian Wave Field | p. 120 |
| Quantum Reaction? | p. 124 |
| The Wave Field and the Quantum Potential | p. 126 |
| The Wave Field and Physical Measurement | p. 132 |
| Tunnelling from a Quantum Well | p. 135 |
| The Quantum Mechanical Force | p. 137 |
| Empirical Consequences | p. 142 |
| A Crucial Experiment? | p. 143 |
| The Exclusion Principle | |
| What is the Exclusion Principle? | p. 147 |
| The Appeal to the `Indistinguishability' of Identical Particles | p. 149 |
| `Indistinguishability' and Wave Field Overlap | p. 152 |
| Quantum Mechanical Spin | p. 157 |
| The Exclusion Principle in the Causal Theory | p. 166 |
| A Basis for the Exclusion Principle | p. 171 |
| Modelling of Fermionic Wave Fields | p. 176 |
| Concluding Remarks | p. 181 |
| Appendices | |
| The Gaussian Wave Packet | p. 187 |
| Derivatives and Integrals | p. 194 |
| Hamiltonian of a Classically-free Gaussian Quantum System | p. 195 |
| Energy Content of a Gaussian Wave Field | p. 197 |
| Summary of Defined Principles | p. 199 |
| Bibliography | p. 203 |
| Index | p. 225 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9789048124022
ISBN-10: 9048124026
Series: Studies in History and Philosophy of Science
Published: 12th June 2009
Format: Hardcover
Language: English
Number of Pages: 244
Audience: Professional and Scholarly
Publisher: Springer Nature B.V.
Country of Publication: NL
Dimensions (cm): 23.5 x 16.51 x 1.91
Weight (kg): 0.52
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