# A dynamical 2-dimensional fuzzy space

@article{Buri2005AD2, title={A dynamical 2-dimensional fuzzy space}, author={Maja Buri{\'c} and John Madore}, journal={Physics Letters B}, year={2005}, volume={622}, pages={183-191} }

Abstract The non-commutative extension of a dynamical 2-dimensional space–time is given and some of its properties discussed. Wick rotation to Euclidean signature yields a surface which has as commutative limit the doughnut but in a singular limit in which the radius of the hole tends to zero.

## 13 Citations

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In order to find a non-commutative analog of Schwarzschild or Schwarzschild–de Sitter black hole we investigate spherically symmetric spaces generated by four non-commutative coordinates in the frame…

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A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation…

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A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation…

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A gravitational field can be defined in terms of a moving frame, which when made noncommutative yields a preferred basis for a differential calculus. It is conjectured that to a linear perturbation…

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We review the physical motivations and the mathematical results obtained so far in the isocone-based approach to noncommutative causality. We also give a briefer account of the alternative framework…

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We question the notion of line element in some quantum spaces that are expected to play a role in quantum gravity, namely non-commutative deformations of Minkowski spaces. We recall how the…

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Consider the quasi-commutative approximation to a noncommutative geometry. It is shown that there is a natural map from the resulting Poisson structure to the Riemann curvature of a metric. This map…

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We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$SO(1,4) in unitary irreducible representations. It was shown before that this…

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