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