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Reconstructing the Universe
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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.
Forward citations
Cited by 3 Pith papers
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Statistical properties of quadrangular surfaces
GKNS random quadrangulations have Hausdorff dimension ~2 and percolation exponents not in the ordinary percolation class, while dynamical and general quadrangulations have dimension ~4 like dynamical triangulations.
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Asymptotically Safe Gravitational Form Factors from the Proper-Time Flow Equation
Asymptotically safe gravitational form factors are obtained by integrating the proper-time flow to k=0; finite cutoff-independent results with 1/q² UV decay require selecting the non-Gaussian fixed point as UV boundar...
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Machine learning in phase transition analysis of lattice quantum gravity
Off-the-shelf supervised ML models trained on geometric CDT observables reproduce known quantum-gravity phase transitions and can give sharper transition signals than standard order parameters.
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