# Noncommutative Spacetime and Emergent Gravity

@article{Yang2007NoncommutativeSA, title={Noncommutative Spacetime and Emergent Gravity}, author={Hyun Seok Yang}, journal={arXiv: High Energy Physics - Theory}, year={2007} }

We argue that a field theory defined on noncommutative (NC) spacetime should be regarded as a theory of gravity, which we refer to as the emergent gravity. A whole point of the emergent gravity is essentially originated from the basic property: A NC spacetime is a (NC) phase space. This fact leads to two important consequences: (I) A NC field theory can basically be identified with a matrix model or a large N field theory where NC fields can be regarded as master fields of large N matrices. (II…

## 9 Citations

### Test of Emergent Gravity

- Mathematics
- 2013

In this paper we examine a small but detailed test of the emergent gravity picture with explicit solutions in gravity and gauge theory. We first derive symplectic U(1) gauge fields starting from the…

### Emergent spacetime and the origin of gravity

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- 2009

We present an exposition on the geometrization of the electromagnetic force. We show that, in noncommutative (NC) spacetime, there always exists a coordinate transformation to locally eliminate the…

### Emergent geometry from quantized spacetime

- Mathematics, Physics
- 2010

We examine the picture of emergent geometry arising from a mass-deformed matrix model. Because of the mass deformation, a vacuum geometry turns out to be a constant curvature spacetime such as…

### Finsler black holes induced by noncommutative anholonomic distributions in Einstein gravity

- Physics
- 2010

We study Finsler black holes induced from Einstein gravity as possible effects of quantum spacetime noncommutativity. Such Finsler models are defined by nonholonomic frames not on tangent bundles but…

### Emergent Gravity And The Cosmological Constant Problem

- Physics
- 2007

We address issues on the origin of gravity and the cosmological constant problem based on a recent understanding about the correspondence between noncommutative field theory and gravity. We suggest…

### Emergent Spacetime and The Cosmological Constant

- Physics
- 2008

We address issues on the origin of gravity and the dark energy (or the cosmological constant) from the perspectives of emergent gravity. We discuss how the emergent gravity reveals a noble, radically…

### Emergent gravity from patterns in natural numbers

- Physics
- 2020

There is natural association of entropy with gravitational systems on one hand and partition of natural numbers on the other hand. We show that given a partition of natural numbers, it is possible to…

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

- MathematicsJournal of Mathematical Physics
- 2019

We show that Hermitian-Einstein metrics can be locally constructed by a map from (anti-)self-dual two-forms on Euclidean R4 to symmetric two-tensors introduced in Yang and Salizzoni [Phys. Rev. Lett.…

### Quantum gravity from noncommutative spacetime

- Physics
- 2014

We review a novel and authentic way to quantize gravity. This novel approach is based on the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than a Riemannian…

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