The Transactional Interpretation of Quantum Mechanics A Relativistic Treatment 2nd Edition by Ruth E Kastner ISBN 9781108830447 1108830447

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ISBN 10: 1108830447
ISBN 13: 9781108830447
Author: Ruth E Kastner

The Transactional Interpretation of Quantum Mechanics A Relativistic Treatment 2nd Edition Table of contents:

1 Introduction: Quantum Peculiarities

1.1 Introduction

1.1.1 Quantum Theory Is About Possibility

1.2 Quantum Peculiarities

1.2.1 Indeterminacy

1.2.2 Nonlocality

1.2.3 The Measurement Problem

1.3 Prevailing Interpretations of QM

1.3.1 Decoherence Approaches

1.3.2 Many Worlds Interpretations

1.3.3 Bohm’s Interpretation

1.3.4 Von Neumann’s Projection Postulate

1.3.5 Bohr’s Complementarity

1.3.6 Ad hoc Nonlinear ”Collapse” Approaches

1.3.7 Relational Block World Approaches

1.3.8 Statistical/Epistemic Approaches

1.4 Quantum Theory Presents a Genuinely New Interpretational Challenge

2 The Map versus the Territory

2.1 The Irony of Quantum Theory

2.1.1 Heisenberg’s Breakthrough

2.1.2 Bohr’s Antirealism

2.1.3 Einstein’s Realism and a Further Irony

2.1.4 Theory Construction versus Theory Interpretation

2.2 ”Constructive” versus ”Principle” Theories

2.3 Bohr’s Kantian Orthodoxy

2.4 The Proper Way to Interpret a ”Principle” Theory

2.5 Heisenberg’s Hint: A New Metaphysical Category

2.6 Ernst Mach: Visionary/Reactionary

2.7 Quantum Theory and the Noumenal Realm

2.8 Science as the Endeavor to Understand Reality

3 The Original TI: Fundamentals

3.1 Background

3.1.1 The Wave Equation

3.1.2 Coupling and Absorption in TI

3.1.3 Solutions of the Wave Equation

3.1.4 The Wheeler-Feynman Theory

3.2 Basic Concepts of TI

3.2.1 Emitters and Absorbers

3.2.2 Offer Waves and Confirmation Waves

3.2.3 The Born Rule Is Revealed in TI

3.3 ”Measurement” Is Well Defined in TI

3.3.1 TI’s Advantages over Traditional ”Collapse” Interpretations

3.4 TI Sheds Light on Feynman’s Account of Quantum Probabilities

3.4.1 Feynman’s Discussion of the Two-Slit Experiment

3.4.2 TI as the Ontological Basis for Feynman’s Account

4 The New TI: Possibilist Transactional Interpretation

4.1 Why PTI?

4.2 Basic Concepts of PTI

4.2.1 Offer and Confirmation Waves Are Physically Real, but Subempirical, Possibilities

4.2.2 Emission and Absorption of Quanta Occur in the Quantum Substratum

4.2.3 Incipient Transactions Are Established through OW-CW Encounters in the Quantum Substratum

4.2.4 Spacetime Is the Set of Actualized Transactions

4.3 Addressing Some Concerns

4.3.1 How a Transaction Forms

4.3.2 Curie’s Principle and Curie’s Extended Principle

4.4 ”Transaction” Is Not Equivalent to ”Trajectory”

4.4.1 Review: Feynman ”Sum over Paths”

4.4.2 Trajectories in a Bubble Chamber

4.5 Revisiting the Two-Slit Experiment

4.6 Null Measurements

5 The Relativistic Transactional Interpretation

5.1 TI Has Basic Compatibility with Relativity

5.2 The Quantum Direct-Action Theory

5.2.1 Preliminary Remarks

5.2.2 Background

5.2.3 The Quantum Direct-Action Theory: Basics

5.2.4 ”Light-Tight Box” Condition Modified at Quantum Level

5.2.5 Relativistic Generalization of Absorber Response

5.2.6 Non-unitarity

5.3 The Micro/Macro Distinction

5.4 Classical Limit of the Quantum Electromagnetic Field

5.5 Nonlocality in Quantum Mechanics: RTI versus rGRWf

5.5.1 Gisin’s Result

5.5.2 Is There Really a GRW Advantage?

5.5.3 A Dilemma Reexamined

6 Challenges, Replies, and Applications

6.1 Challenges to TI

6.1.1 The Maudlin Challenge: Introduction

6.1.2 The Maudlin Challenge Cannot Be Mounted for Particles with Rest Mass

6.2 Interaction-Free Measurements

6.2.1 The Elitzur-Vaidman Bomb Detection Experiment

6.2.2 A Quantum ”Bomb”

6.3 Delayed Choice Experiment

6.4 Quantum Eraser Experiments

6.4.1 Details of a Quantum Eraser Experiment

6.4.2 The TI Account

6.5 Transactions and Decoherence

6.5.1 Decoherence: Two Aspects

6.5.2 RTI Completes the Decoherence Account

6.5.3 Time Evolution in RTI

6.6 RTI Solves the Frauchiger-Renner Paradox

6.6.1 The Frauchiger and Renner Paradox

6.6.2 Origin and Resolution of the Frauchiger-Renner Inconsistency

6.7 The Afshar Experiment

6.7.1 Essence of the Afshar Experiment

6.7.2 The Afshar Experiment in TI

7 The Metaphysics of Possibility in RTI

7.1 Traditional Formulations of the Notion of Possibility

7.2 The PTI Formulation: Possibility as Physically Real Potentiality

7.3 Offer Waves, as Potentiae, Are Not Individuals

7.3.1 Wave Function Symmetry Related to Nonexistence of Particles

7.4 The Macroscopic World in PTI

7.4.1 Macroscopic Objects Are Based on Networks of Transactions

7.4.2 Macroscopic Observation as Primarily Intersubjective

7.4.3 Implications for the Realism/Antirealism Debate

7.5 An Example: Phenomenon versus Noumenon

7.6 Causality

7.6.1 Hume’s Elimination of Causality

7.6.2 Russell, Salmon, and Others

7.6.3 Transactions to the Rescue

7.7 Concerns about Structural Realism

8 RTI and Spacetime

8.1 Recalling Plato’s Distinction

8.1.1 What Is the Empirical Realm?

8.1.2 The Past versus the Future

8.1.3 The Fabric of Created Events

8.1.4 Becoming and Relativity

8.1.5 The ”Dead Past”

8.2 Transactions and Spacetime Emergence

8.2.1 Causal Set Approach

8.2.2 Rest Mass Remains in the Quantum Substratum

8.2.3 The Basic Structure of the Emergent Spacetime Manifold

8.2.4 Inertial Frames

8.2.5 Spacetime as an ”Influence Network”

8.2.6 A Common Worry and Why It’s Not a Problem

8.3 Transactions Break Time Symmetry and Lead to an Arrow of Time

8.3.1 The Origin of the ”Initial Probability Assumption”

8.3.2 ”Master Equations” Justified in TI

8.4 Spacetime Relationalism

8.5 RTI versus Radical Relationalism

8.6 Ontological versus Epistemological Approaches, and Implications for Free Will

9 Epilogue

References

Index

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Tags: Ruth E Kastner, Transactional Interpretation, Quantum Mechanics, Relativistic Treatment