The emergent multiverse: quantum theory according to the Everett interpretation
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford Univ. Pr.
2012
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| Ausgabe: | 1. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke Literaturverz. S. [488] - 508 |
| Beschreibung: | XV, 530 S. graph. Darst. 23 cm |
| ISBN: | 9780199546961 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804149354103046145 |
|---|---|
| adam_text | Titel: The emergent multiverse
Autor: Wallace, David
Jahr: 2012
Contents
List ofFigures and Boxes xiv
Acknowledgements xvi
Introduction 1
Part I. The Plurality of Worlds
1. The Paradox of Measurement 11
1.1. The goals of science 11
1.2. Quantum mechanics: the bare formalism 14
1.3. Quantum mechanics: interpretation and measurement 16
1.4. Measurement cannot be represented physically? 22
1.5. The measurement problem and the instrumentalist response 24
1.6. Beyond instrumentalism: vestiges of reality? 28
1.7. Solving the measurement problem: alternative theories 31
1.8. Everett s insight 35
1.9. The challenges for the Everett interpretation 39
2. The Emergence of Multiplicity 46
2.1. Worlds as emergent entities 46
2.2. Emergence in practice 48
2.3. Instantiation and the relation between theories 53
2.4. The Situation in quantum mechanics 59
3. Chaos, Decoherence, and Branching 64
3.1. Introduction: emergent classicality 64
3.2. Emergent quasi-classicality in simple isolated Systems 65
3.3. Dynamical properties of isolated quantum Systems 69
3.4. The need for decoherence 74
3.5. Environment-induced decoherence: a simple model 77
3.6. Environment-induced decoherence: further details 81
3.7. Decoherent histories 84
3.8. Analysing branching structure 87
3.9. The decoherent-histories framework 91
3.10. Decoherence, records, and consistency 94
3.11. How many worlds? 99
First Interlude 103
X CONTENTS
Part II. Probability in a Branching Universe
4. The Probability Puzzle 113
4.1. Problem? What problem? 113
4.2. Against intuition-based objections 117
4.3. Against naive branch counting 119
4.4. The role of probability 121
4.5. Frequentism 123
4.6. The Everettian frequentist 127
4.7. Frequentism and the short run 130
4.8. Personal probability: the rationalist approach 132
4.9. Objective probability 137
4.10. The nature of objective probability 142
4.11. Objective probability from symmetry? 145
4.12. Objective probability and the Everett interpretation 148
4.13. Deriving Everettian probability 151
5. Symmetry, Rationality, and the Born Rule 157
5.1. A positive theory of Everettian probability 157
5.2. Preamble: the decision-theoretic approach 160
5.3. The quantum decision problem 163
5.4. The dictates of rationality 167
5.5. A quantum representation theorem 172
5.6. Formal Statement of the axioms 174
5.7. Formal Statement and proof ofthe representation theorem 182
5.8. Other proposed strategies for action 189
5.8.1. Branch counting 190
5.8.2. The fatness rule 190
5.8.3. The fake-state rule 191
5.8.4. The distributive-justice rule 192
5.8.5. The variety rule 193
5.8.6. The anything-goes rule 194
5.8.7. The curl-up-and-die rule 194
5.8.8. Contextual rules 196
6. Everettian Statistical Inference 199
6.1. The problem of Statistical inference 199
6.2. The unknown State problem: a direct approach 201
6.3. A direct approach to theory confirmation 202
6.4. The Bayesian approach to inference 204
6.5. Bayesian inference and Everettian quantum mechanics 206
6.6. A unified approach: the unknown State problem 210
CONTENTS XI
6.7. A unified approach: the unknown dynamics problem 216
6.8. A unified approach: the unknown theory problem 218
6.9. Digression: why Everett in particular? 224
6.10. Theorems in context: the recent literature 230
6.10.1. Classical probability: overview 230
6.10.2. Classical probability: the personal-probability side 231
6.10.3. Classical probability: the objective-probability side 233
6.10.4. Quantum probability: subjective uncertainty and
decision theory 234
6.10.5. Quantum probability: formal Solutions to the
Epistemic problem 238
6.10.6. Quantum probability: a unified approach 240
Second Interlude 245
Part III. Quantum Mechanics, Everett Style
7. Uncertainty, Possibility, and Identity 257
7.1. Everett and the future: the problem 257
7.2. How language works: a simple model 260
7.3. Using language: deterministic and indeterministic cases 263
7.4. Using language: branching case 266
7.5. Meaning, use, and charity 270
7.6. Case study: what are we uncertain about? 274
7.7. Do sentences have truth values? 278
7.8. The nature of identity 280
7.9. Identity and language 283
7.10. Possibilities 287
7.11. Summary 290
8. Spacetime and the Quantum State 292
8.1. Concepts of locality 292
8.2. Thinking about physical states 295
8.3. The ontology of electromagnetism 297
8.4. Spacetime State realism 298
8.5. Locality 302
8.5.1. Does Everettian quantum mechanics display action
at a distance? 302
8.5.2. Does Everettian quantum mechanics display
nonseparability? 303
8.6. The true State and the relative State 305
8.7. Aspect-type experiments in Everettian quantum theory 308
Xll CONTENTS
8.8. A digression on metaphysics 312
8.9. Alternatives to spacetime State realism 315
8.9.1. Wavefunction realism 316
8.9.2. Quantum relationism 317
8.9.3. Operator-valued fields 320
9. The Directions of Branching and the Direction of Time 324
9.1. The asymmetry of branching 324
9.2. The macropredictions of microdynamics 329
9.3. Coarse-grained dynamics 334
9.4. Time reversibility in coarse-grained dynamics 341
9.5. Microdynamical underpinnings ofthe coarse-grained
dynamics 344
9.6. Microdynamical origins of irreversibility: the classical case 349
9.7. Microdynamical origins of irreversibility: the quantum case 353
9.8. Avoiding a low-entropy postulate 354
9.9. Summary 358
10. A Cornucopia of Everettian Consequences 361
10.1. Indeterminism, chaos, and the predictability of the fature 362
10.2. Exotic cases of quantum probability 365
10.2.1. Cosmological probabilities and anthropic reasoning 365
10.2.2. Quantum Russian roulette 369
10.3. Observing the multiverse 372
10.3.1. Classical particles, and a criterion for reality 373
10.3.2. Interferometry 375
10.3.3. Digression: what about other interpretations? 382
10.3.4. Quantum computation 385
10.3.5. The quantum Zeno paradox and the bomb problem 390
10.4. The Status of mixed states 393
10.5. Must the Universe as a whole be in a pure State? 397
10.6. The quantum mechanics of time travel 401
10.6.1. A computational model of time travel 401
10.6.2. The paradoxes of classical time travel 405
10.6.3. Quantum mechanics and time travel 409
10.6.4. Entanglement and time travel 411
10.6.5. Features of quantum time travel 412
Conclusion 420
Epilogue 427
CONTENTS Xlll
Appendices
A. Proof ofthe Branching-Decoherence Theorem 429
B. Classical Decision Theory 433
B.l. The general idea of decision theory 434
B.2. Synchronic decision problems 435
B.3. A rudimentary decision theory 438
B.4. Representing preferences; additive decision theory 440
B.5. Structure axioms; almost representation 442
B.6. Beyond additivity 444
B.7. Synchronic representation theorems 447
B.8. The diachronic perspective 451
B.9. The diachronic decision problem 455
B.10. Solutions to the diachronic decision problem 457
B. 11. A diachronic representation theorem 460
B.12. Subproblems ofa decision problem 462
C. Formal Proofs of Decision-Theoretic Results 465
C.l. Proof of the Additive Representation Theorem 465
C.2. Proof ofthe Synchronic Likelihood and Synchronic
Preference Theorems 467
C.3. Proof of the Diachronic Representation Theorem 472
C.4. Statement and proof ofthe Everettian Inference theorem 474
C.5. Statement and proof ofthe classical inference theorems 478
C.6. Statement and proof of the Everettian Epistemic theorem 482
D. Proof of the Utility Equivalence Lemma 484
References 488
Index 509
|
| any_adam_object | 1 |
| author | Wallace, David |
| author_facet | Wallace, David |
| author_role | aut |
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| bvnumber | BV040324933 |
| classification_rvk | UB 7000 |
| ctrlnum | (OCoLC)799024602 (DE-599)OBVAC09009510 |
| discipline | Physik |
| edition | 1. ed. |
| format | Book |
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| spelling | Wallace, David Verfasser aut The emergent multiverse quantum theory according to the Everett interpretation David Wallace 1. ed. Oxford Oxford Univ. Pr. 2012 XV, 530 S. graph. Darst. 23 cm txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Literaturverz. S. [488] - 508 Everett, Hugh 1930-1982 (DE-588)128856823 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s Philosophie (DE-588)4045791-6 s DE-604 Everett, Hugh 1930-1982 (DE-588)128856823 p Quantentheorie (DE-588)4047992-4 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025179478&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Wallace, David The emergent multiverse quantum theory according to the Everett interpretation Everett, Hugh 1930-1982 (DE-588)128856823 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd Philosophie (DE-588)4045791-6 gnd |
| subject_GND | (DE-588)128856823 (DE-588)4047989-4 (DE-588)4047992-4 (DE-588)4045791-6 |
| title | The emergent multiverse quantum theory according to the Everett interpretation |
| title_auth | The emergent multiverse quantum theory according to the Everett interpretation |
| title_exact_search | The emergent multiverse quantum theory according to the Everett interpretation |
| title_full | The emergent multiverse quantum theory according to the Everett interpretation David Wallace |
| title_fullStr | The emergent multiverse quantum theory according to the Everett interpretation David Wallace |
| title_full_unstemmed | The emergent multiverse quantum theory according to the Everett interpretation David Wallace |
| title_short | The emergent multiverse |
| title_sort | the emergent multiverse quantum theory according to the everett interpretation |
| title_sub | quantum theory according to the Everett interpretation |
| topic | Everett, Hugh 1930-1982 (DE-588)128856823 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Everett, Hugh 1930-1982 Quantenmechanik Quantentheorie Philosophie |
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