# Emergent Geometry and Quantum Gravity

@inproceedings{Yang2010EmergentGA, title={Emergent Geometry and Quantum Gravity}, author={Hyun S. Yang}, year={2010} }

- Published 2010
DOI:10.1142/S0217732310034067

We explain how quantum gravity can be defined by quantizing spacetime itself. A pinpoint is that the gravitational constant $G = L_{\rm P}^2$ 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 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… CONTINUE READING

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## Notes on emergent gravity

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## Hermitian-Einstein metrics from noncommutative $U\left(1 \right)$ instantons

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## Hermitian-Einstein metrics from noncommutative U ( 1 ) instantons

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## Quantization of emergent gravity

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## Ambiguities in the Seiberg–Witten map and emergent gravity

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## An extended standard model and its Higgs geometry from the matrix model

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## Two or Three Things We Know about Emergent Schwarzschild

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## Gravity and compactified branes in matrix models

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## Curvature and gravity actions for matrix models: II. The case of general Poisson structures

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