论文标题

部分可观测时空混沌系统的无模型预测

The fuzzy BTZ

论文作者

Buric, Ilija, Buric, Maja

论文摘要

我们介绍了一个非交通性BTZ黑洞的模型,该模型通过庞加莱坐标与移动框架一起定量获得。模糊的BTZ黑洞带有协变量的微积分,满足爱因斯坦的方程式,并且具有恒定的负曲率。该构建经过了更大的空间,模糊的反DE保姆,并将离散的BTZ标识实现为单一操作员的结合。我们得出适当正规化的径向坐标的频谱:它由地平线外部的散射状态$ r _+$和一组无限的离散式绑定状态组成。

We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincaré coordinates together with a moving frame. The fuzzy BTZ black hole carries a covariant differential calculus, satisfies Einstein's equations and has a constant negative curvature. The construction passes through a larger space, the fuzzy anti-de Sitter, and implements discrete BTZ identifications as conjugations by a unitary operator. We derive the spectrum of the suitably regularised radial coordinate: it consists of a continuum of scattering states outside the horizon $r_+$ and an infinite discrete set of bound states inside.

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