Cover image for Beyond measure : modern physics, philosophy, and the meaning of quantum theory
Title:
Beyond measure : modern physics, philosophy, and the meaning of quantum theory
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Publication Information:
Oxford : Oxford University Press, 2004
ISBN:
9780198529279

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30000010069291 QC174.12 B334 2004 Open Access Book Book
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Summary

Summary

Quantum theory is one of the most important and successful theories of modern physical science. It has been estimated that its principles form the basis for about 30 per cent of the world's manufacturing economy. This is all the more remarkable because quantum theory is a theory that nobody understands. Baggott brings the reader up to date with the results of experimental tests of quantum non-locality and complementarity that have been successfully he also reviews the latest thinking on alternative interpretations - pilot waves, decoherence, consciousness, many worlds and God - and the frontiers of quantum cosmology, quantum gravity and potential applications of quantum entanglement in computing, cryptography and teleportation. Quantum theory emerges largely unscathed, only serving to reinforce the point that the theory remains the most powerful framework for explaining observations of the quantum world, but that its orthodox interpretation continues to offer little in the way of understanding in terms of underlying physical processes. Quantum theory remains a mysterious theoretical black top hat from which white rabbits continue to be pulled. Students are usually advised not to ask how this particular conjuring trick is done.


Author Notes

Dr James Baggott199 Beech Lane, Earley, Reading RG6 5UP07775 940 2560118 9212 134jim@logosconsulting.co.ukThe author has written many popular science articles for newspapers (Independent, Daily Telegraph) and popular science magazines such as New Scientist. He has also appeared on a couple of radio programmes dealing with quantum theory (the last time for a series aired on BBC Radio 4 in late 1999).


Reviews 1

Choice Review

Baggott takes readers from early-20th-century experiments that lead to quantum mechanics through the development of the theory and the problems associated with interpretation. He does a good job of helping readers realize that it is a very successful theory in making physical predictions but is still not well understood. This is what makes quantum mechanics so intriguing to physicists, philosophers, and general readers. Baggott shows the wide range of applications of quantum theory and how there are interpretation problems. He also goes on to explain that the attempted fixes are not satisfying and takes readers right to the edge of modern philosophical thought. This is not an easy read. Persons with little background in physics will need to go slowly or even possibly seek simpler references. A strength of the book is that the mathematics is put into appendixes so that the calculations can be easily skipped. This is much better than some competing works that advise readers to simply skip technical sections. This book will also interest physicists who would like a physical and philosophical survey of quantum theory. ^BSumming Up: Recommended. General readers. E. Kincanon Gonzaga University


Table of Contents

Peter Atkins
Forewordp. xiii
Prefacep. xv
Part I Discovery
1 An act of desperationp. 3
Newton's legacyp. 4
Light at the turn of the centuryp. 5
Black-body radiation and the ultraviolet catastrophep. 9
Planck's radiation formulap. 12
Quantap. 15
This is wrong...p. 18
Bohr's theory of the atomp. 19
Discontinuous physicsp. 22
2 Farewell to certaintyp. 24
Wave-particle dualityp. 24
Einstein and Bohr in conflictp. 27
Postscript: electron diffraction and interferencep. 27
Wave mechanicsp. 28
Interpreting the wave functionsp. 31
Matrix mechanicsp. 34
Heisenberg's uncertainty principlep. 36
3 An absolute wonderp. 40
Pauli's exclusion principle and the self-rotating electronp. 41
Electron spinp. 42
Dirac's theoryp. 43
Quantum electrodynamicsp. 45
Shelter Islandp. 47
Sum-over-historiesp. 47
Feynman diagramsp. 49
Quarks and the standard modelp. 53
Part II Formalism
4 Quantum rulesp. 59
The axiomatization of physicsp. 61
Vector spacesp. 62
Quantum statesp. 64
Operators and observablesp. 65
Complementary observablesp. 66
The time evolution of state vectorsp. 67
The expansion theoremp. 68
Projection amplitudesp. 70
Indistinguishable particlesp. 71
Fermions and bosonsp. 72
5 Quantum measurementp. 75
Quantum probabilitiesp. 76
Linear polarizationp. 78
Photon-polarization statesp. 79
Photon spinp. 80
Von Neumann's theory of measurementp. 83
The 'collapse of the wavefunction'p. 84
State preparationp. 86
Entangled statesp. 87
Which way did it go?p. 89
The bomb factoryp. 90
Part III Meaning
6 The schismp. 97
The scientific methodp. 98
The problem of inductionp. 99
Logical positivism and the rejection of metaphysicsp. 101
The Copenhagen interpretationp. 103
Complementarityp. 106
There is no quantum worldp. 108
The aim and structure of physical theoryp. 109
Social constructivism and incommensurabilityp. 112
The rational character of realityp. 114
The schism: realism versus anti-realismp. 116
7 A bolt from the bluep. 120
The fifth Solvay Conferencep. 121
Is quantum mechanics consistent?p. 123
The photon box experimentp. 126
Is quantum mechanics complete?p. 129
A reasonable definition of realityp. 131
Spooky action at a distancep. 132
Einstein attacks quantum theoryp. 132
Einstein separabilityp. 134
Entangled states and Schrodinger's catp. 135
Summaryp. 138
8 Bell's theorem and local realityp. 140
Einstein on hidden variablesp. 141
A simple examplep. 142
Von Neumann's 'impossibility proof'p. 144
Bohm's version of the EPR experimentp. 146
Correlated photonsp. 148
Quantum versus hidden variable correlationsp. 150
Bell's theoremp. 153
Generalization of Bell's inequalityp. 158
Part IV Experiment
9 Quantum non-localityp. 163
Cascade emissionp. 164
The Aspect experimentsp. 165
Parametric down-conversionp. 169
Long-distance entanglementp. 170
How fast is 'instantaneous'?p. 171
Testing non-locality without inequalitiesp. 171
Closing the locality loopholep. 176
Closing the efficiency loopholep. 178
10 Complementarity and entanglementp. 181
Delayed choicep. 182
Wheeler's 'Great Smoky Dragon'p. 184
Watching the electronsp. 185
The one-atom maserp. 188
Which way did it go (again)?p. 189
But what if we don't look?p. 191
Scully's pizzap. 193
Superluminal communications?p. 197
Qubits and quantum computingp. 198
Quantum cryptographyp. 200
Quantum teleportationp. 201
Was Einstein wrong?p. 202
Was Bohr right?p. 203
Part V Alternatives
11 Pilot waves, potentials, and propensitiesp. 207
De Broglie's pilot wavesp. 209
Quantum potentialsp. 210
A causal explanation of quantum phenomenap. 212
Quantum theory and historical contingencyp. 216
The implicate orderp. 218
Popper's propensitiesp. 219
12 An irreversible actp. 223
The arrow of timep. 224
Time asymmetry and quantum measurementp. 226
From being to becomingp. 227
Decoherencep. 228
The problem of objectificationp. 233
GRW theoryp. 234
Penrose and the geometry of space-timep. 236
Macroscopic realismp. 237
Superpositions of distinct macroscopic statesp. 238
13 I think, therefore...p. 242
Von Neumann's theory of measurement (revisited)p. 242
Wigner's friendp. 244
The ghost in the machinep. 245
Multiple draftsp. 247
The physical basis of consciousnessp. 249
Alp. 252
Consciousness and objective reductionp. 254
Free will and determinismp. 255
The mind of God?p. 257
14 Many worlds, one universep. 263
Relative statesp. 264
The branching worldp. 265
'Schizophrenia' with a vengeancep. 266
Parallel worlds and 'schizophrenic' neutronsp. 267
The non-existence of non-localityp. 270
Quantum suicide: dead again?p. 272
Time travelp. 273
Many mindsp. 275
The quantum theory of the universep. 276
Consistent historiesp. 279
Quantum gravityp. 283
Closing remarksp. 286
Appendicesp. 289
1 Maxwell's equations and the speed of lightp. 291
2 Black-body radiation and the origin of the quantump. 294
3 Atomic theory and the emergence of quantum numbersp. 297
4 Special relativity and de Broglie's hypothesisp. 300
5 Schrodinger's wave equationp. 302
6 Dirac's relativistic quantum theory of the electronp. 305
7 The expectation valuep. 307
8 Complementary observables and the uncertainty principlep. 309
9 The expansion theorem and quantum projectionsp. 311
10 State vectors and classical unit vectorsp. 314
11 Quantum indistinguishability: fermions and bosonsp. 316
12 Projection amplitudes for photon-polarization statesp. 318
13 Quantum measurement and expectation valuesp. 322
14 Complementary observables of two-particle statesp. 324
15 Quantum measurement and the infinite regressp. 325
16 Von Neumann's 'impossibility proof'p. 327
17 Photon spin correlationsp. 329
18 Quantum versus local hidden variable correlationsp. 332
19 Bell's inequalityp. 335
20 Bell's inequality for non-ideal casesp. 337
21 Three-photon GHZ statesp. 339
22 The Clauser-Horne-Shimony-Holt form of Bell's inequalityp. 343
23 'Which Way' versus interference: testing complementarityp. 345
24 The quantum eraserp. 347
25 Beam me up, Scottyp. 350
26 The de Broglie-Bohm theoryp. 352
27 Neutron worldsp. 355
Bibliographyp. 357
Name Indexp. 365
Subject Indexp. 371