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Emergent spacetime from chaos and entanglement

Subject Area Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
Term since 2025
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 566966698
 
Within theoretical physics, the AdS/CFT correspondence (AdS: Anti-de Sitter space, CFT: conformal field theory) establishes a duality between gravity on negatively curved spaces and conformal field theories. This duality offers a promising approach to understanding quantum gravity. However, it applies only to a select class of systems, and determining the conditions under which a field theory can have an emergent gravitational description remains an open problem. Recent results indicate that the chaotic nature of the quantum field theories involved plays a decisive role in this context, while chaotic behaviour itself is in general still not fully understood. Moreover, quantum entanglement has been found to be dual to geometric structures such as minimal surfaces in the context of the duality, indicating an emergent gravitational description. In this project, we will conduct a comprehensive systematic study for characterizing chaotic behaviour, in particular in view of its importance for spacetime emergence. To this effect, we will combine tools such as free probability theory and von Neumann algebras with concepts from quantum information theory to clarify under which conditions chaotic behaviour leads to spacetime emergence. The results expected will shed new light on both the nature of quantum chaos and on quantum gravity in the context of the AdS/CFT correspondence.
DFG Programme Research Grants
International Connection South Korea
Cooperation Partner Professor Keun-Young Kim, Ph.D.
 
 

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