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The theory of quantum gravity promises a revolutionary new understanding of gravity and spacetime, valid from microscopic to cosmological distances. Research in this field involves an exciting blend of rigorous mathematics and bold speculations, foundational questions and technical issues. Containing contributions from leading researchers in this field, this book presents the fundamental issues involved in the construction of a quantum theory of gravity and building up a quantum picture of space and time. It introduces the most current approaches to this problem, and reviews their main achievements. Each part ends in questions and answers, in which the contributors explore the merits and problems of the various approaches. This book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers.
Quantum gravity. --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Gravity, Quantum --- General relativity (Physics) --- Gravitation --- Quantum theory
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Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.
quantum-gravity phenomenology --- hypersurface deformation algebra --- loop quantum gravity --- black holes --- no-boundary proposal --- loop quantum cosmology --- LQC instanton --- quantum gravity --- computer simulations --- numerical methods --- renormalization group --- discrete quantum gravity models --- nonperturbative renormalization group --- random geometry --- mimetic gravity --- limiting curvature --- bouncing cosmology --- effective field theory --- quantum geometry --- quantum cosmology --- group field theory --- cosmological perturbation theory --- Lewis-Riesenfeld invariant --- Bogoliubov transformation --- adiabatic vacua --- Spin networks --- vertex amplitudes --- quantum computing --- background independence --- generalised statistical equilibrium --- entropy --- holographic entanglement --- random tensor networks --- quantum many-body physics
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Following the fundamental insights from quantum mechanics and general relativity, geometry itself should have a quantum description; the search for a complete understanding of this description is what drives the field of quantum gravity. Group field theory is an ambitious framework in which theories of quantum geometry are formulated, incorporating successful ideas from the fields of matrix models, ten-sor models, spin foam models and loop quantum gravity, as well as from the broader areas of quantum field theory and mathematical physics. This special issue collects recent work in group field theory and these related approaches, as well as other neighbouring fields (e.g., cosmology, quantum information and quantum foundations, statistical physics) to the extent that these are directly relevant to quantum gravity research.
Research & information: general --- Mathematics & science --- quantum-gravity phenomenology --- hypersurface deformation algebra --- loop quantum gravity --- black holes --- no-boundary proposal --- loop quantum cosmology --- LQC instanton --- quantum gravity --- computer simulations --- numerical methods --- renormalization group --- discrete quantum gravity models --- nonperturbative renormalization group --- random geometry --- mimetic gravity --- limiting curvature --- bouncing cosmology --- effective field theory --- quantum geometry --- quantum cosmology --- group field theory --- cosmological perturbation theory --- Lewis-Riesenfeld invariant --- Bogoliubov transformation --- adiabatic vacua --- Spin networks --- vertex amplitudes --- quantum computing --- background independence --- generalised statistical equilibrium --- entropy --- holographic entanglement --- random tensor networks --- quantum many-body physics --- quantum-gravity phenomenology --- hypersurface deformation algebra --- loop quantum gravity --- black holes --- no-boundary proposal --- loop quantum cosmology --- LQC instanton --- quantum gravity --- computer simulations --- numerical methods --- renormalization group --- discrete quantum gravity models --- nonperturbative renormalization group --- random geometry --- mimetic gravity --- limiting curvature --- bouncing cosmology --- effective field theory --- quantum geometry --- quantum cosmology --- group field theory --- cosmological perturbation theory --- Lewis-Riesenfeld invariant --- Bogoliubov transformation --- adiabatic vacua --- Spin networks --- vertex amplitudes --- quantum computing --- background independence --- generalised statistical equilibrium --- entropy --- holographic entanglement --- random tensor networks --- quantum many-body physics
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