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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
Foreword | p. xiii |
Preface | p. xv |
Part I Discovery | |
1 An act of desperation | p. 3 |
Newton's legacy | p. 4 |
Light at the turn of the century | p. 5 |
Black-body radiation and the ultraviolet catastrophe | p. 9 |
Planck's radiation formula | p. 12 |
Quanta | p. 15 |
This is wrong... | p. 18 |
Bohr's theory of the atom | p. 19 |
Discontinuous physics | p. 22 |
2 Farewell to certainty | p. 24 |
Wave-particle duality | p. 24 |
Einstein and Bohr in conflict | p. 27 |
Postscript: electron diffraction and interference | p. 27 |
Wave mechanics | p. 28 |
Interpreting the wave functions | p. 31 |
Matrix mechanics | p. 34 |
Heisenberg's uncertainty principle | p. 36 |
3 An absolute wonder | p. 40 |
Pauli's exclusion principle and the self-rotating electron | p. 41 |
Electron spin | p. 42 |
Dirac's theory | p. 43 |
Quantum electrodynamics | p. 45 |
Shelter Island | p. 47 |
Sum-over-histories | p. 47 |
Feynman diagrams | p. 49 |
Quarks and the standard model | p. 53 |
Part II Formalism | |
4 Quantum rules | p. 59 |
The axiomatization of physics | p. 61 |
Vector spaces | p. 62 |
Quantum states | p. 64 |
Operators and observables | p. 65 |
Complementary observables | p. 66 |
The time evolution of state vectors | p. 67 |
The expansion theorem | p. 68 |
Projection amplitudes | p. 70 |
Indistinguishable particles | p. 71 |
Fermions and bosons | p. 72 |
5 Quantum measurement | p. 75 |
Quantum probabilities | p. 76 |
Linear polarization | p. 78 |
Photon-polarization states | p. 79 |
Photon spin | p. 80 |
Von Neumann's theory of measurement | p. 83 |
The 'collapse of the wavefunction' | p. 84 |
State preparation | p. 86 |
Entangled states | p. 87 |
Which way did it go? | p. 89 |
The bomb factory | p. 90 |
Part III Meaning | |
6 The schism | p. 97 |
The scientific method | p. 98 |
The problem of induction | p. 99 |
Logical positivism and the rejection of metaphysics | p. 101 |
The Copenhagen interpretation | p. 103 |
Complementarity | p. 106 |
There is no quantum world | p. 108 |
The aim and structure of physical theory | p. 109 |
Social constructivism and incommensurability | p. 112 |
The rational character of reality | p. 114 |
The schism: realism versus anti-realism | p. 116 |
7 A bolt from the blue | p. 120 |
The fifth Solvay Conference | p. 121 |
Is quantum mechanics consistent? | p. 123 |
The photon box experiment | p. 126 |
Is quantum mechanics complete? | p. 129 |
A reasonable definition of reality | p. 131 |
Spooky action at a distance | p. 132 |
Einstein attacks quantum theory | p. 132 |
Einstein separability | p. 134 |
Entangled states and Schrodinger's cat | p. 135 |
Summary | p. 138 |
8 Bell's theorem and local reality | p. 140 |
Einstein on hidden variables | p. 141 |
A simple example | p. 142 |
Von Neumann's 'impossibility proof' | p. 144 |
Bohm's version of the EPR experiment | p. 146 |
Correlated photons | p. 148 |
Quantum versus hidden variable correlations | p. 150 |
Bell's theorem | p. 153 |
Generalization of Bell's inequality | p. 158 |
Part IV Experiment | |
9 Quantum non-locality | p. 163 |
Cascade emission | p. 164 |
The Aspect experiments | p. 165 |
Parametric down-conversion | p. 169 |
Long-distance entanglement | p. 170 |
How fast is 'instantaneous'? | p. 171 |
Testing non-locality without inequalities | p. 171 |
Closing the locality loophole | p. 176 |
Closing the efficiency loophole | p. 178 |
10 Complementarity and entanglement | p. 181 |
Delayed choice | p. 182 |
Wheeler's 'Great Smoky Dragon' | p. 184 |
Watching the electrons | p. 185 |
The one-atom maser | p. 188 |
Which way did it go (again)? | p. 189 |
But what if we don't look? | p. 191 |
Scully's pizza | p. 193 |
Superluminal communications? | p. 197 |
Qubits and quantum computing | p. 198 |
Quantum cryptography | p. 200 |
Quantum teleportation | p. 201 |
Was Einstein wrong? | p. 202 |
Was Bohr right? | p. 203 |
Part V Alternatives | |
11 Pilot waves, potentials, and propensities | p. 207 |
De Broglie's pilot waves | p. 209 |
Quantum potentials | p. 210 |
A causal explanation of quantum phenomena | p. 212 |
Quantum theory and historical contingency | p. 216 |
The implicate order | p. 218 |
Popper's propensities | p. 219 |
12 An irreversible act | p. 223 |
The arrow of time | p. 224 |
Time asymmetry and quantum measurement | p. 226 |
From being to becoming | p. 227 |
Decoherence | p. 228 |
The problem of objectification | p. 233 |
GRW theory | p. 234 |
Penrose and the geometry of space-time | p. 236 |
Macroscopic realism | p. 237 |
Superpositions of distinct macroscopic states | p. 238 |
13 I think, therefore... | p. 242 |
Von Neumann's theory of measurement (revisited) | p. 242 |
Wigner's friend | p. 244 |
The ghost in the machine | p. 245 |
Multiple drafts | p. 247 |
The physical basis of consciousness | p. 249 |
Al | p. 252 |
Consciousness and objective reduction | p. 254 |
Free will and determinism | p. 255 |
The mind of God? | p. 257 |
14 Many worlds, one universe | p. 263 |
Relative states | p. 264 |
The branching world | p. 265 |
'Schizophrenia' with a vengeance | p. 266 |
Parallel worlds and 'schizophrenic' neutrons | p. 267 |
The non-existence of non-locality | p. 270 |
Quantum suicide: dead again? | p. 272 |
Time travel | p. 273 |
Many minds | p. 275 |
The quantum theory of the universe | p. 276 |
Consistent histories | p. 279 |
Quantum gravity | p. 283 |
Closing remarks | p. 286 |
Appendices | p. 289 |
1 Maxwell's equations and the speed of light | p. 291 |
2 Black-body radiation and the origin of the quantum | p. 294 |
3 Atomic theory and the emergence of quantum numbers | p. 297 |
4 Special relativity and de Broglie's hypothesis | p. 300 |
5 Schrodinger's wave equation | p. 302 |
6 Dirac's relativistic quantum theory of the electron | p. 305 |
7 The expectation value | p. 307 |
8 Complementary observables and the uncertainty principle | p. 309 |
9 The expansion theorem and quantum projections | p. 311 |
10 State vectors and classical unit vectors | p. 314 |
11 Quantum indistinguishability: fermions and bosons | p. 316 |
12 Projection amplitudes for photon-polarization states | p. 318 |
13 Quantum measurement and expectation values | p. 322 |
14 Complementary observables of two-particle states | p. 324 |
15 Quantum measurement and the infinite regress | p. 325 |
16 Von Neumann's 'impossibility proof' | p. 327 |
17 Photon spin correlations | p. 329 |
18 Quantum versus local hidden variable correlations | p. 332 |
19 Bell's inequality | p. 335 |
20 Bell's inequality for non-ideal cases | p. 337 |
21 Three-photon GHZ states | p. 339 |
22 The Clauser-Horne-Shimony-Holt form of Bell's inequality | p. 343 |
23 'Which Way' versus interference: testing complementarity | p. 345 |
24 The quantum eraser | p. 347 |
25 Beam me up, Scotty | p. 350 |
26 The de Broglie-Bohm theory | p. 352 |
27 Neutron worlds | p. 355 |
Bibliography | p. 357 |
Name Index | p. 365 |
Subject Index | p. 371 |