Heaps of Segments and Lorentzian Quantum Gravity
نویسندگان
چکیده
This work is a combinatorial study of quantum gravity models related to Lorentzian quantum gravity. These models are discrete combinatorial objects called dynamical triangulations. They are related to classical combinatorial objects: Dyck paths, heaps, . . . This work is in collaboration with Xavier Viennot and is part of the speaker’s thesis [4]. Quantum gravity is a quantum description of the space-time geometry. We refer to Loll [5] for precise definitions. In the Lorentzian quantum gravity the universe can be of dimension (1+1) [1]. One dimension is for space, the other one for time. This defines the dynamical triangulations.
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