| Quantum 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. |
| Foreword, by James Bjorken . Preface Acknowledgements Terminology and notation Part Ⅰ Relativistic foundations 1 General ideas and heuristic picture 1.1 The problem of quantum gravity 1.2 Loop quantum gravity 1.3 Conceptual issues 2 General Relativity 2.1 Formalism 2.2 The conceptual path to the theory 2.3 Interpretation 2.4 Complements 3 Mechanics 3.1 Nonrelativistic mechanics: mechanics is about time evolution 3.2 Relativistic mechanics 3.3 Field theory 3.4 Thermal time hypothesis 4 Hamiltonian general relativity 4.1 Einstein-Hamilton-Jacobi 4.2 Euclidean GR and real connection 4.3 Hamiltonian GR 5 Quantum mechanics 5.1 Nonrelativistic QM 5.2 Relativistic QM 5.3 Quantum field theory 5.4 Quantum gravity 5.5 Complements 5.6 Relational interpretation of quantum theory Part Ⅱ Loop quantum gravity 6 Quantum space 7 Dynamics and matter 8 Applications 9 Quantum spacetime: spinfoams 10 Conclusion Part Ⅲ Appendices Appendxi A Groups and recoupling theory Reference Index |
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