## Quantum GravityQuantum gravity poses the problem of merging quantum mechanics and general relativity, the two great conceptual revolutions in the physics of the twentieth century. The loop and spinfoam approach, presented in this book, is one of the leading research programs in the field. The first part of the book discusses the reformulation of the basis of classical and quantum Hamiltonian physics required by general relativity. The second part covers the basic technical research directions. Appendices include a detailed history of the subject of quantum gravity, hard-to-find mathematical material, and a discussion of some philosophical issues raised by the subject. This fascinating text is ideal for graduate students entering the field, as well as researchers already working in quantum gravity. It will also appeal to philosophers and other scholars interested in the nature of space and time. |

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User Review - fpagan - LibraryThingAn advanced treatise, with highly mathematical treatments of general relativity, quantum theory, and loop quantum gravity. The third of these is one approach to a hoped-for unification of the first ... Read full review

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I might know how to do it...

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### Contents

VI | 3 |

VII | 4 |

VIII | 9 |

IX | 10 |

X | 13 |

XI | 14 |

XII | 17 |

XIII | 22 |

LXXXVI | 220 |

LXXXVII | 223 |

LXXXVIII | 225 |

LXXXIX | 226 |

XC | 230 |

XCI | 231 |

XCII | 234 |

XCIII | 236 |

XIV | 26 |

XV | 28 |

XVI | 29 |

XVII | 31 |

XVIII | 33 |

XIX | 40 |

XX | 42 |

XXI | 44 |

XXII | 48 |

XXIII | 52 |

XXIV | 56 |

XXV | 62 |

XXVI | 65 |

XXVII | 71 |

XXVIII | 73 |

XXIX | 75 |

XXX | 76 |

XXXI | 78 |

XXXIII | 82 |

XXXIV | 87 |

XXXV | 88 |

XXXVI | 96 |

XXXVII | 98 |

XXXVIII | 105 |

XXXIX | 108 |

XL | 114 |

XLI | 118 |

XLII | 120 |

XLIII | 128 |

XLIV | 129 |

XLV | 130 |

XLVI | 131 |

XLVII | 134 |

XLVIII | 137 |

XLIX | 140 |

L | 145 |

LI | 147 |

LII | 153 |

LIII | 155 |

LIV | 156 |

LV | 157 |

LVII | 158 |

LVIII | 162 |

LIX | 164 |

LXI | 166 |

LXII | 169 |

LXIII | 172 |

LXIV | 174 |

LXV | 176 |

LXVI | 177 |

LXVIII | 179 |

LXIX | 180 |

LXX | 184 |

LXXI | 186 |

LXXII | 190 |

LXXIII | 193 |

LXXIV | 195 |

LXXV | 197 |

LXXVI | 198 |

LXXVII | 200 |

LXXVIII | 202 |

LXXIX | 204 |

LXXX | 206 |

LXXXI | 208 |

LXXXII | 209 |

LXXXIII | 210 |

LXXXIV | 215 |

LXXXV | 218 |

XCIV | 238 |

XCV | 240 |

XCVI | 241 |

XCVII | 242 |

XCVIII | 243 |

XCIX | 246 |

C | 249 |

CI | 250 |

CII | 253 |

CIII | 259 |

CIV | 262 |

CV | 268 |

CVI | 276 |

CVIII | 277 |

CIX | 280 |

CX | 282 |

CXI | 284 |

CXII | 286 |

CXIII | 287 |

CXIV | 288 |

CXV | 289 |

CXVI | 291 |

CXVII | 293 |

CXVIII | 296 |

CXIX | 301 |

CXXI | 303 |

CXXII | 308 |

CXXIII | 311 |

CXXIV | 312 |

CXXV | 315 |

CXXVI | 320 |

CXXVIII | 321 |

CXXIX | 327 |

CXXX | 328 |

CXXXI | 329 |

CXXXII | 331 |

CXXXIII | 340 |

CXXXIV | 343 |

CXXXV | 356 |

CXXXVI | 359 |

CXXXVII | 361 |

CXXXVIII | 363 |

CXXXIX | 366 |

CXLI | 367 |

CXLII | 368 |

CXLIII | 370 |

CXLIV | 371 |

CXLV | 375 |

CXLVI | 377 |

CXLVII | 383 |

CXLVIII | 385 |

CXLIX | 388 |

CL | 390 |

CLI | 393 |

CLIII | 395 |

CLIV | 398 |

CLV | 400 |

CLVI | 403 |

CLVII | 407 |

CLVIII | 410 |

CLIX | 412 |

CLX | 415 |

CLXI | 420 |

CLXII | 422 |

424 | |

450 | |

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### Common terms and phrases

action amplitudes associated basis boundary called Chapter classical complete compute connection Consider coordinates covariant defined definition denote derivation described determined developed diffeomorphism discrete discussed dynamics effect Einstein energy equation equivalent evolution expression fact field theory finite fixed follows formalism function gauge geometry given gives graph gravitational field hamiltonian Hilbert space hole idea indices instance integral interaction interpretation intertwiners invariant limit lines loop matter meaning measure mechanics metric Minkowski motion namely natural node Notice objects observables obtained operator particle particular physical possible precisely predictions problem properties quantities quantization quantum gravity quantum mechanics quantum theory reference region relation relativistic relativity representation represented respect result scalar simple solution space spacetime special relativity spin network spinfoam structure surface transformations understand vacuum variable vector volume write

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