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Emergent geometry and quantum gravity

Title
Emergent geometry and quantum gravity
Authors
Yang H.S.
Ewha Authors
양현석
Issue Date
2010
Journal Title
Modern Physics Letters A
ISSN
0217-7323JCR Link
Citation
vol. 25, no. 28, pp. 2381 - 2397
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We explain how quantum gravity can be defined by quantizing spacetime itself. A pinpoint is that the gravitational constant G = LP 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 LP. The symplectic structure of spacetime M leads to an isomorphism between symplectic geometry (M, ω) and Riemannian geometry (M, g) where the deformations of symplectic structure ω 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. © 2010 World Scientific Publishing Company.
DOI
10.1142/S0217732310034067
Appears in Collections:
연구기관 > 초기우주과학기술연구소 > Journal papers
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