1994/11/29 by Bas V. de Bakker · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #gr-qc #hep-lat
paper · pdf · doi:10.1016/0370-2693(95)00122-2
published as Phys.Lett. B348 (1995) 35-38 · 8 pages, LaTeX2e source with postscript result
arxiv created 1994/11/29 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Due to the unrecognizability of certain manifolds there must exist pairs of triangulations of these manifolds that can only be reached from each other by going through an intermediate state that is very large. This might reduce the reliability of dynamical triangulation, because there will be states that will not be reached in practice. We investigate this problem numerically for the manifold S5, which is known to be unrecognizable, but see no sign of these unreachable states.