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. |
Contents
VI | 3 |
VII | 4 |
VIII | 9 |
IX | 10 |
X | 13 |
XI | 14 |
XII | 17 |
XIII | 22 |
XCIII | 220 |
XCIV | 223 |
XCV | 225 |
XCVIII | 226 |
XCIX | 230 |
C | 231 |
CI | 234 |
CIII | 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 |
XXIX | 73 |
XXX | 75 |
XXXII | 76 |
XXXIII | 78 |
XXXV | 82 |
XXXVI | 87 |
XXXVII | 88 |
XXXVIII | 96 |
XXXIX | 98 |
XLII | 105 |
XLIII | 108 |
XLIV | 114 |
XLV | 118 |
XLVI | 120 |
XLVII | 128 |
XLVIII | 129 |
XLIX | 130 |
L | 131 |
LI | 134 |
LII | 137 |
LIII | 140 |
LIV | 145 |
LVII | 147 |
LVIII | 153 |
LIX | 155 |
LX | 156 |
LXI | 157 |
LXIV | 158 |
LXV | 162 |
LXVI | 164 |
LXVII | 166 |
LXVIII | 169 |
LXIX | 172 |
LXX | 174 |
LXXI | 176 |
LXXII | 177 |
LXXIV | 179 |
LXXV | 180 |
LXXVI | 184 |
LXXVII | 186 |
LXXVIII | 190 |
LXXIX | 193 |
LXXX | 195 |
LXXXI | 197 |
LXXXII | 198 |
LXXXIII | 200 |
LXXXV | 202 |
LXXXVI | 204 |
LXXXVII | 206 |
LXXXVIII | 208 |
LXXXIX | 209 |
XC | 210 |
XCI | 215 |
XCII | 218 |
CIV | 238 |
CV | 240 |
CVI | 241 |
CVII | 242 |
CIX | 243 |
CX | 246 |
CXII | 249 |
CXIII | 250 |
CXIV | 253 |
CXV | 259 |
CXVI | 262 |
CXVII | 268 |
CXVIII | 276 |
CXX | 277 |
CXXI | 280 |
CXXII | 282 |
CXXIII | 284 |
CXXIV | 286 |
CXXVI | 287 |
CXXVII | 288 |
CXXVIII | 289 |
CXXIX | 291 |
CXXX | 293 |
CXXXI | 296 |
CXXXIV | 301 |
CXXXVI | 303 |
CXXXVII | 308 |
CXXXVIII | 311 |
CXXXIX | 312 |
CXL | 315 |
CXLI | 320 |
CXLII | 321 |
CXLIII | 327 |
CXLIV | 328 |
CXLV | 329 |
CXLVI | 331 |
CXLVII | 340 |
CXLVIII | 343 |
CXLIX | 356 |
CL | 359 |
CLI | 361 |
CLII | 363 |
CLIII | 366 |
CLVII | 367 |
CLVIII | 368 |
CLIX | 370 |
CLX | 371 |
CLXI | 375 |
CLXII | 377 |
CLXIII | 383 |
CLXIV | 385 |
CLXV | 388 |
CLXVI | 390 |
CLXVII | 393 |
CLXIX | 395 |
CLXX | 398 |
CLXXI | 400 |
CLXXII | 403 |
CLXXIII | 407 |
CLXXIV | 410 |
CLXXV | 412 |
CLXXVI | 415 |
CLXXVIII | 420 |
CLXXIX | 422 |
| 424 | |
| 450 | |
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Common terms and phrases
action algebra background-independent basis black hole boundary Chapter classical compute configuration space connection Consider coordinates covariant defined definition degrees of freedom denote derivation described determined diffeomorphism discrete dynamics eigenstate eigenvalues Einstein equations equations of motion euclidean evolution fact Feynman field equations finite formalism gauge geometry given graph gravitational field Hamilton function Hamilton-Jacobi equation hamiltonian Hilbert space holonomy inertial instance integral interaction interpretation intertwiners invariant Kdiff loop quantum gravity Lorentz measure metric Minkowski space node nonrelativistic obtained operator parameter partial observables particle phase space physical precisely predictions quantities quantization quantum field theory quantum mechanics quantum theory relation relativistic relativity representation scalar product Schrödinger Section simple solution spacetime spectrum spin network string theory structure surface tangent tensor tion transformations transition amplitudes triangulation two-complex vacuum variable vector Wheeler-DeWitt equation Yang-Mills δΑ
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