The chaotic behavior of black holes: Investigating a topological retraction in anti-de Sitter spaces

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.