{ "id": "1007.1795", "version": "v2", "published": "2010-07-11T19:40:44.000Z", "updated": "2010-08-20T04:00:48.000Z", "title": "Emergent Geometry and Quantum Gravity", "authors": [ "Hyun Seok Yang" ], "comment": "Invited Review for Mod. Phys. Lett. A, 17 pages", "journal": "Mod.Phys.Lett.A25:2381,2010", "doi": "10.1142/S0217732310034067", "categories": [ "hep-th", "gr-qc", "hep-ph" ], "abstract": "We explain how quantum gravity can be defined by quantizing spacetime itself. A pinpoint is that the gravitational constant G = L_P^2 whose physical dimension is of (length)^2 in natural unit introduces a symplectic structure of spacetime which causes a noncommutative spacetime at the Planck scale L_P. The symplectic structure of spacetime M leads to an isomorphism between symplectic geometry (M, \\omega) and Riemannian geometry (M, g) where the deformations of symplectic structure \\omega in terms of electromagnetic fields F=dA are transformed into those of Riemannian metric g. This approach for quantum gravity allows a background independent formulation where spacetime as well as matter fields is equally emergent from a universal vacuum of quantum gravity which is thus dubbed as the quantum equivalence principle.", "revisions": [ { "version": "v2", "updated": "2010-08-20T04:00:48.000Z" } ], "analyses": { "subjects": [ "02.40.Gh", "11.25.Tq", "11.10.Nx" ], "keywords": [ "quantum gravity", "emergent geometry", "symplectic structure", "background independent formulation", "quantum equivalence principle" ], "tags": [ "review article", "journal article" ], "publication": { "journal": "Modern Physics Letters A", "year": 2010, "volume": 25, "number": 28, "pages": 2381 }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 860890, "adsabs": "2010MPLA...25.2381Y" } } }