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arxiv: hep-th/0505154 · v2 · submitted 2005-05-17 · ✦ hep-th · gr-qc· hep-lat

Reconstructing the Universe

classification ✦ hep-th gr-qchep-lat
keywords dynamicaluniversecausalquantumreconstructingspacetimetimeaspects
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We provide detailed evidence for the claim that nonperturbative quantum gravity, defined through state sums of causal triangulated geometries, possesses a large-scale limit in which the dimension of spacetime is four and the dynamics of the volume of the universe behaves semiclassically. This is a first step in reconstructing the universe from a dynamical principle at the Planck scale, and at the same time provides a nontrivial consistency check of the method of causal dynamical triangulations. A closer look at the quantum geometry reveals a number of highly nonclassical aspects, including a dynamical reduction of spacetime to two dimensions on short scales and a fractal structure of slices of constant time.

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