Einstein's Unfinished Revolution

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Einstein's Unfinished Revolution Page 30

by Lee Smolin


  hidden variables and, 184

  restriction theorem, 184, 215, 235, 298

  Bernstein, Herbert, xxviii, 25, 27

  big bang, 221

  biochemistry, 177

  biology, quantum mechanics and, 3

  black-body radiation, 79

  black holes, 75, 134

  Bohm, David, xxix, 105, 107–8

  Bohr and, 113

  communism and, 114–15

  Einstein and, 108–11

  guidance equation and, 109

  measurement process, 117

  Oppenheimer and, 112

  pilot wave theory and, 109, 110, 116, 118

  Princeton and, 113

  theory of, 109–12

  von Neumann and, 110

  Bohmian mechanics. See pilot wave theory

  Bohr, Niels, xxi–xxii, xxvii, xxix, 75

  anti-realism of, 106

  on atoms, 93

  Bohm and, 113

  complementarity and, 85–86, 90

  education of, 77

  Einstein and, 8, 78, 102

  electrons and, 84

  EPR and, 47–48

  family and background of, 76

  Heisenberg and, 90–91

  leadership and inspiration of, 117–18

  pilot wave theory and, 102–3

  quantum theories and, xxii, 7–8, 9

  splitting and, 193–94

  Boltzmann, Ludwig, 71, 71n, 72n

  Born, Max, 8, 34, 81–83, 86, 88–91, 100

  Born’s rule, 34, 61, 83, 99–100, 109, 150, 151n, 177

  decision theory and, 167–69

  definition, 206

  probabilities and, 164, 200, 218

  Rule 1 and, 171

  boundary splits, 197

  Brownian motion of molecules, 73

  Bub, Jeffrey, 130

  buckyballs, 24

  causal completeness principle, 232, 247

  causal future, 254–55, 266–67

  causality, 134, 204, 216–17, 217, 236, 298

  causal links, 255

  causal loops, 255, 255n

  causal past, 254, 261, 266–67, 301

  causal relations, 254–57, 260–61, 270

  causal sets, 260–61, 264–69

  causal set theory, 257–58, 298

  causal structure, 256, 260, 298

  causal theory of views, 269–71

  circular motion, 77

  classical mechanics, 111, 193–95, 196

  classical physics, xx, 30, 298

  classical state, 30

  classical worlds, 219–20

  climate change, xxiv, 178

  codes, 48, 185, 186

  collapses. See also wave-function collapse

  gravity and, 139–40

  models, beyond, 222–24

  special relativity and, 141

  spontaneous, 131

  of wave function, 139, 186

  collapse theory

  dynamical, 299

  measurement problem and, 131–32, 133, 142, 144–45

  noise and, 133

  pilot wave theory and, 131

  theory of relativity and, 133

  collisions, 20, 73

  communication, 46–47, 189

  communism, 114–15, 115n

  commutativity, 18–20

  complementarity, 84, 101, 114

  Bohr and, 85–86, 90

  consistency of, 90

  definition of, 298

  pilot wave theory and, 101

  uncertainty principle and, 92–93

  complex systems, 248

  computation, definition of, 192

  computers, 191–92

  computer science, quantum physics and, 185

  configuration space, 122–24, 123, 217–18

  consciousness, xv

  conservation of momentum, 263

  consistent histories approach, 218, 298

  constitutive theories, 227

  contextuality, 55–57

  continuous spontaneous localization (CSL), 130–31

  contrary states, 38–43, 45, 123, 298

  Copenhagen interpretation, 94, 97, 107, 112, 113, 117, 184, 274

  correlated states, 51, 145–47, 146n, 149

  Cortês, Marina, 265–67

  cosmic microwave background, 121

  cosmology, 201, 207, 230–31, 253, 302

  Crane, Louis, 193–94

  creation rule of events, 267

  critical realism, 154

  CSL. See continuous spontaneous localization

  cycles, 268n

  Dalibard, Jean, 45

  Davisson, Clinton, 81–82

  de Broglie, Louis, xxviii, 12, 78–81

  Einstein and, 81, 103

  PhD thesis of, 81, 145

  pilot wave theory of, 98–101, 100

  Schrödinger and, 82

  students of, 118

  wave-particle duality and, 83–84, 103

  de Broglie, Maurice, 79

  de Broglie–Bohm theory. See pilot wave theory

  Debye, Peter, 82

  decay, 53, 54

  decision theory, 167–69, 174

  decoherence, 150n, 154, 175, 208

  definition, 155–56, 299

  detectors and, 155

  histories and, 218

  Many Worlds Interpretation, 157n

  measurement and, 159

  observation and, 155, 157

  quantum theory and, 155

  randomness and, 155–56, 159

  realism and, 157

  Rule 1 and, 158, 159–60

  Schrödinger’s cat and, 156–57

  splitting problem and, 157

  wave-particle duality and, 156

  defects of locality, 240

  degree of freedom, 299

  density, 29, 30

  detectors, decoherence and, 155

  determinism, 14–16, 220–22, 299

  deterministic dynamical systems, 268n

  Deutsch, David, 154, 166–68, 175, 185

  Dewitt, Bryce, 143

  diffraction, 67, 81–82, 210

  dimensions, 233, 234n

  Dirac, Paul, 91, 108

  discreteness, 299

  disorder locality, 241

  distinction, 243

  double slit experiment, 67–68, 68, 72, 98, 199–200, 210–11

  duality, of reality, 23–24

  dynamical collapse theory, 299

  early universe, 4

  earth, xiv

  Einstein, Albert, xxvii, xxix

  autobiographical notes of, 12, 225

  Bohm and, 108–11

  Bohr and, 8, 78, 102

  contrary states and, 43

  de Broglie, L., and, 81, 103

  general relativity and, 230

  letter to Born, 8

  light and, 67

  locality and, 44

  Maxwell and, 69, 70

  Nobel Prize of, 8, 72

  papers of, 72–73

  pilot wave theory and, 101–3, 111

  quantum mechanics and, 8–9

  quantum revolution of, 8

  quantum theories of, 8

  realism and, 84

  on reality, 3

  relativity, theory of, 8, 137, 227

  spacetime and, 226

  special relativity and, 226

  wave-particle duality and, 83–84

  Einstein-Podolsky-Rosen (EPR) state, 45, 47–49

  Einstein-Rosen bridge, 240n

  electric field, 40, 68, 262

  elect
ricity, 234

  electromagnetic field, 189

  electromagnetic radiation, 40

  electromagnetism, 227

  electrons, xv

  anti-realism and, 85

  atoms and, 78, 83

  Bohr and, 84

  chemical properties of, 75

  defining, xvi, 74

  diffraction and, 81–82

  experimental devices and, 84–85

  Heisenberg on, 87

  of matter, 73–74

  momentum of, 35

  orbits, 74, 77, 83, 92

  as particles, 79–80, 82

  perception of, 84

  photons and, 69–70

  pilot wave theory, 98–101, 100

  position of, 100

  properties of, xvi, xxviii, 84

  quantum mechanics and, 62

  states of, 78

  superposition of, 152

  wave-particle duality and, 98–99

  as waves, 79–80, 82, 83

  Elsasser, Walter, 81

  energy, 20

  atoms and, 77–78

  causal relations and, 261

  causal sets and, 264–65, 267, 269

  definition of, 299

  frequency and, 22, 60, 77–78

  information and, 260

  law of conservation of, 261

  of light, 74, 183–84

  momentum and, 21, 261, 262, 264, 267, 270

  photons and, 69–70, 77–78

  position and, 61

  special relativity and, 261

  spectrum of, 60–61

  ensemble of atoms, 59

  ensemble of similar systems, 247

  entanglement, 38–39, 43, 57, 188, 221

  of atoms, 252

  for codes, 48

  definition of, 299

  elementary particles and, 5

  locality and, 47

  Mach’s principle and, 135

  nonlocal, xxviii, 235

  of photons, 45

  pilot wave theory and, 214

  quantum computer and, 248–49

  in quantum systems, 196

  retrocausality and, 216

  space and, 238

  spacetime and, 135

  spin networks and, 135

  superposition and, 195

  technology, 48

  entropy, 120, 159, 177, 191n, 299

  epistemology, 11

  Epperson, Michael, 198

  EPR. See Einstein-Podolsky-Rosen state

  eternalist relationalism, 237

  ethical quandaries, raised by Everett, 176–77

  Euclid, 229

  events, 266, 267, 269–70, 299

  Everett, Hugh, xxvii, 145

  ethical quandaries raised by, 176–77

  hypothesis of, 165–71, 175, 176, 178–80

  particles and, 148

  pilot wave theory and, 148

  proofs of, 151–52, 151n

  quantum mechanics of, 148n

  reality and, 165

  Rule 2 and, 164–65

  evolution, 250

  exclusion principle, 299

  existing frameworks, 278

  experimental devices, electrons and, 84–85

  experimental investigation, 252

  experimental physics, 252

  experimental techniques, 274

  facts, xiv

  fantasy, reality and, xiii, xix, xxiv, xxv

  Feyerabend, Paul, 113, 173

  Feynman, Richard, xxvii, 184–85, 217, 241, 279

  field, 299

  field theory, 300

  Finkelstein, David, 116

  first law of motion, 80–81

  force, 300

  Forman, Paul, 12

  freedom, atoms and, 246

  frequency

  energy and, 22, 60, 77–78

  light and, 69–71

  probabilities, 161–64, 165–66

  quantum states and, 60

  resonant, 60–61

  of waves, 22, 61

  Fuchs, Chris, 66

  fundamental laws, 252, 265–66, 274

  fundamental physics, principles for, 229–37

  fundamental simultaneity, 237

  future, 200–201, 266, 300

  causal, 254–55

  predicting, 16–17, 21, 25, 30, 90, 198

  Gambini, Rodolfo, 141

  gases, properties of, 71

  Geiger counter, 50–52, 121, 146, 195

  geometry, 136, 229–30, 234n, 257

  Germer, Lester, 81

  Ghirardi, Rimini, and Weber (GRW), 130, 139

  ghost branches

  of pilot wave theory, 207–10

  wave-function collapse and, 213

  God, 234, 238

  Gomes, Henrique, 201

  Grangier, Philippe, 45

  gravity, xvii, xxvi, 74, 134, 137, 139–40

  Gross, David, 273

  GRW. See Ghirardi, Rimini, and Weber

  guidance equation, 99, 109, 210–11

  Gurdjieff, 115, 115n

  Hardy, Lucien, 183, 186, 187

  Heisenberg, Werner, xxii, xxix, 18, 85–92

  Hermann, Grete, 104, 106

  hidden variables, xxi, 113, 139, 141, 184, 215, 221, 237–49, 300

  histories, 217–19, 266, 298

  holographic hypothesis, 260, 278

  holographic principle, 300

  House Un-American Activities Committee, 108

  humanist academics, xxiv

  hydrogen atoms, 77, 78, 83, 89

  hydrogen bomb, xxvii

  identity of indiscernibles principle, 233–37, 242, 245, 263, 268–69

  illusion, time as, 202–4

  indeterminism, 248

  inertia, 80–81, 275

  information

  causal structure and, 260

  as communication, 189

  computers and, 191–92

  context of, 190

  definition of, 189, 191, 191n, 192, 300

  energy and, 260

  entropy and, 191n

  flow of, 259–60

  language and, 189–90

  meaning, 190–91

  measurement of, 190

  particles and, 249n

  physics and, 189, 192–93

  relational quantum theory and, 193

  semantics and, 189–90

  spacetime and, 259–60

  speed of light and, 46, 121

  universe and, 189

  wave function and, 193, 249n

  instrumentalism, 300

  interference, 19, 68, 68, 81–82, 126, 131

  inverse problem, 258

  irrationality, 117

  irreversibility, 158, 214, 236, 236n, 268

  Jacobson, Ted, 259

  Jordan, Pascual, 88–89

  Kabbalah, 86

  Károlyházy, F., 130

  Kastner, Ruth, 198

  Kauffman, Stuart, 198

  Khrushchev, Nikita, 114

  knowledge, xiii, 9–12, 271–72

  Kochen, Simon, 56

  Kochen-Specker theorem, 56, 300

  Krishnamurti, 115, 115n, 116

  Kuhn, Thomas, 279

  Lakatos, Imre, 174–75

  language, information and, 189–90

  laws. See also Rule 0; Rule 1; Rule 2; thermodynamics

  of atoms, 251–52

  of conservation of energy, 261

  of excluded middle, 199–201

  of fundamental particles, 14

  of nature, xix, 92, 226, 243, 250, 265, 276
r />   to physical systems, application of, 28–30

  of physics, 15–16, 25, 273

  of precedents, 251–52

  probabilities and, 250

  unitary, 31

  Leibniz, 241–42, 268

  Lewis, David, 163

  light, 56, 234. See also photons

  atoms and, 77–78

  color of, 70–71

  double slit experiment, 67–68, 68, 72

  Einstein and, 67

  energy of, 74, 183–84

  frequency and, 69–71

  interference pattern of, 68

  nature of, 67, 75

  Newton and, 67, 80

  as particles, 69, 72, 80

  properties of, 70–71

  realism and, 75

  traveling in straight lines, 67–68, 68

  as wave, 68, 68, 72, 80

  wave-particle duality and, 84

  locality, 10, 41, 55, 269

  assumptions about physics and, 44–45

  defects of, 240

  definition of, 300

  disordered, 241

  Einstein and, 44

  as emergent, 236, 271

  entanglement and, 47

  nature and, 45, 46, 57, 220

  photons and, 44–45

  of physical systems, 43

  physics and, 47, 48

  quantum mechanics and, 45, 46

  space and, 245

  loop quantum gravity, 136, 137, 194, 240, 278, 300

  luck, science and, 90–91

  Mach’s principle, 135

  macroscopic objects, 128

  macroscopic systems, 248

  magical realism, xxiii, xxv–xxvi, 8, 201

  magnetic fields, 68, 262

  magnetism, 234

  many interacting worlds theory, 220

  many moments theory, 202–4, 300

  Many Worlds Interpretation, xxiii, 145, 148, 172

  decoherence, 150n, 154, 157n

  definition of, 300

  Deutsch and, 175

  many interacting worlds theory, 219–20

  measurement and, 149

  morality and, 176–78

  multiverse and, xxv–xxvi

  outcomes of experiments in, 150–52

  pilot wave theory and, 208

  probabilities and, 160

  problems with, 175

  quantum states and, 152

  realism and, 150, 174

  splitting process in, 149–50, 150n, 152, 153–54

  Markopoulou, Fotini, 240

  mass, 300

  mathematical laws, 9

  mathematics, 227, 274

  matrix, 91, 239, 239, 240, 300, 301

  matter, xiv, 71, 79–80, 226

  atoms and, 72

  behavior of, 259

  defining, xv, xvi

  electrons of, 73–74

  forms of, xv

  as waves, 5, 23, 84

  Maxwell, James Clerk, 68, 69, 70, 74, 77

  measurement, 17, 250

  of atoms, 195

  contextuality and, 55–56

  correlated states and, 149

  decoherence and, 159

 

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