9780792320661

The Quantum Labyrinth

by
  • ISBN13:

    9780792320661

  • ISBN10:

    0792320662

  • Format: Hardcover
  • Copyright: 1993-01-01
  • Publisher: Kluwer Academic Pub

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Supplemental Materials

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Summary

This volume deals with the question of whether quantum mechanics can provide a picture of physical reality. This question is investigated from physical, philosophical, and logical perspectives on the basis of modern views on measurement and open quantum systems. New ways are found of respecting the rules of classical logic in quantum mechanics, by developing a formalization of the concept of a 'context' within a modularized version of modal logic. Various applications are given, both within and outside quantum theory. A 'contextual quantum process theory' is presented as a general framework for further interpretation. Several such interpretations are outlined, and ensuing problems of completeness and (non)locality are discussed. A special chapter is devoted to a manifestly covariant relativistic interpretation in terms of 'quantum events'. This book will be of interest to experts on quantum theory, but it will also appeal to a wider public of physicists, philosophers and logicians.

Table of Contents

Preface
The Quantum Labyrinth, A Treatise on Quantum Mechanics and Comparative Metaphysicsp. 1
Realism, empiricism, pluralismp. 11
Realism versus empiricismp. 12
Metaphysical pluralismp. 24
Comparative metaphysicsp. 29
Ambiguity and meta-ambiguityp. 30
Describing complex systemsp. 42
The construction of physical realityp. 51
A model of theoriesp. 52
Contextsp. 59
Further elaborations on contextual semanticsp. 66
Quantum mechanicsp. 73
Logical peculiarities of QMp. 74
Measurement postulatesp. 77
'Recent' developments in measurement theoryp. 85
Effect valued measuresp. 85
Operation valued measuresp. 87
Some cases in measurement theoryp. 90
ABL measuresp. 99
Contextual QMp. 103
The initial contextual formulation of QMp. 106
Quantum process theoryp. 109
A particle interpretationp. 121
Event theoryp. 125
Completeness and localityp. 129
Quantum 'theory'?p. 130
Contextual QM and completenessp. 132
Splitting magnitudesp. 135
The incompleteness of the standard formalism of QMp. 142
Localityp. 145
Speculations on time-symmetry, causality, and quantum gravityp. 150
A maze of QMsp. 161
General methodological remarksp. 162
Nonclassical alternativesp. 164
Variations on the initial formalismp. 169
The Von Neumann chainp. 178
Relative process statesp. 181
Conclusionsp. 193
Quantum Event Theory, A Tetrode-Fokker version of Quantum Field Theoryp. 197
Quantum eventsp. 198
Event fieldsp. 200
Field equationsp. 202
The correspondence between field theory and event theoryp. 203
Probabilities reconsideredp. 208
Contextual logicp. 215
The general structure of contextual logicp. 215
Some applicationsp. 233
Relevance, truth, realityp. 247
Bibliographyp. 258
Indexp. 273
Table of Contents provided by Blackwell. All Rights Reserved.

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