Singular Vertices and the Triangulation Space of the D − sphere
نویسندگان
چکیده
By a sequence of numerical experiments we demonstrate that generic trian-gulations of the D−sphere for D > 3 contain one singular (D−3)−simplex. The mean number of elementary D−simplices sharing this simplex increases with the volume of the triangulation according to a simple power law. The lower dimension subsimplices associated with this (D − 3)−simplex also show a singular behaviour. Possible consequences for the DT model of four-dimensional quantum gravity are discussed.
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