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arXiv:1007.1795 [hep-th]AbstractReferencesReviewsResources

Emergent Geometry and Quantum Gravity

Hyun Seok Yang

Published 2010-07-11, updated 2010-08-20Version 2

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.

Comments: Invited Review for Mod. Phys. Lett. A, 17 pages
Journal: Mod.Phys.Lett.A25:2381,2010
Categories: hep-th, gr-qc, hep-ph
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