In some topological universe models, a special type of curved space called the anti-de Sitter (AdS) of black hole space appears. Due to general relativity, this space has negative curvature. Here we present a novel variant of AdS space, known as chaotic AdS black hole space. We investigate the correlation between the folding of chaotic AdS black hole space and its chaotic deformation retract. In order to better understand how objects move in space, we can also use Lagrangian equations to determine the geodesics of the chaotic AdS space, and explore the properties and behavior of this new type of space. This would enable us to focus our attention and efforts better on black hole thermodynamics and quantum gravity. Finally, various types of chaotic quantum retractions in this space are identified, as well as the final limits on chaotic AdS spaces and their extensions to astrophysics. Exploring these ideas has consequently increased our understanding of the complex dynamics of the universe and the potential for developing a theory of quantum gravity that combines the principles of general relativity and quantum mechanics.

在一些拓扑宇宙模型中，出现了一种特殊类型的弯曲空间，称为黑洞空间的反德西特（AdS）。由于广义相对论，这个空间具有负曲率。在这里，我们提出了 AdS 空间的一种新变体，称为混沌 AdS 黑洞空间。我们研究了混沌 AdS 黑洞空间的折叠与其混沌变形收缩之间的相关性。为了更好地理解物体在空间中如何运动，我们还可以利用拉格朗日方程来确定混沌AdS空间的测地线，并探索这种新型空间的属性和行为。这将使我们能够更好地将注意力和精力集中在黑洞热力学和量子引力上。最后，确定了该空间中各种类型的混沌量子回缩，以及混沌 AdS 空间的最终限制及其对天体物理学的扩展。因此，探索这些想法增加了我们对宇宙复杂动力学的理解，以及发展结合广义相对论和量子力学原理的量子引力理论的潜力。