# 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

- Physics
- 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…

### 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.…

### 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…

### 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…

## References

SHOWING 1-10 OF 19 REFERENCES

### Emergent gravity from noncommutative gauge theory

- Physics
- 2007

We show that the matrix-model action for noncommutative U(n) gauge theory actually describes SU(n) gauge theory coupled to gravity. This is elaborated in the 4-dimensional case. The SU(n) gauge…

### EMERGENT GRAVITY FROM NONCOMMUTATIVE SPACE–TIME

- Physics
- 2009

We showed before that self-dual electromagnetism in noncommutative (NC) space–time is equivalent to self-dual Einstein gravity. This result implies a striking picture about gravity: gravity can…

### Noncommutative electromagnetism as a large N gauge theory

- Physics
- 2009

We map noncommutative (NC) U(1) gauge theory on ℝCd×ℝNC2n to U(N→∞) Yang–Mills theory on ℝCd, where ℝCd is a d-dimensional commutative spacetime while ℝNC2n is a 2n-dimensional NC space. The…

### 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…

### Homological Algebra of Mirror Symmetry

- Mathematics
- 1995

Mirror symmetry (MS) was discovered several years ago in string theory as a duality between families of 3-dimensional Calabi-Yau manifolds (more precisely, complex algebraic manifolds possessing…

### Instantons and emergent geometry

- Physics
- 2006

We show that self-dual electromagnetism in noncommutative spacetime is equivalent to self-dual Einstein gravity.

### Generalized Complex Geometry

- MathematicsUniversity Lecture Series
- 2004

Generalized complex geometry encompasses complex and symplectic ge- ometry as its extremal special cases. We explore the basic properties of this geometry, including its enhanced symmetry group,…

### High Energy Phys

- High Energy Phys
- 1999

### Eur. Phys. J. C16

- Eur. Phys. J. C16
- 2000

### Phys

- Lett. B634, 427 (2006) 427; H. S. Yang and M. Salizzoni, Phys. Rev. Lett. 96, 201602
- 2006