A Dynamical 2-dimensional Fuzzy Space
M. Buric, J. Madore
TL;DR
This paper introduces a noncommutative extension of a dynamical 2D space-time, exploring its properties and the transition to a commutative limit resembling a doughnut shape, with insights into its singular behavior.
Contribution
It presents a novel noncommutative model of 2D space-time and analyzes its geometric and topological properties under Wick rotation.
Findings
Noncommutative 2D space-time extension proposed
Wick rotation yields a surface with doughnut topology
Singular limit where the hole radius tends to zero
Abstract
The noncommutative 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.
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