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Geometric properties of lattice quantum gravity in two dimensions are studiednumerically via Monte Carlo on Euclidean Dynamical Triangulations. A newcomputational method is proposed to simulate gravity coupled with fermions,which allows the study of interacting theories on a lattice, such asnon-Riemannian gravity models. This was tested on Majorana spinors, where weobtained a Hausdorff dimension dW = 4.22 +/- 0.03, consistent with the boundsfrom the literature 4.19 < dH < 4.21.

Hausdorff dimension of fermions on a random lattice