Absence of barriers in dynamical triangulation

Abstract

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 $S^5$, which is known to be unrecognizable, but see no sign of these unreachable states.

8 pages, LaTeX2e source with postscript result

References in corpus (5)

• 4d Simplicial Quantum Gravity with a Non-Trivial Measure
• On the Absence of an Exponential Bound in Four Dimensional Simplicial Gravity
• Noncomputability Arising In Dynamical Triangulation Model Of Four-Dimensional Quantum Gravity
• Non-uniform measure in 4d simplicial quantum gravity
• Volume dependence of the phase boundary in 4D dynamical triangulation

Cited by in corpus (4)

• Discrete approaches to quantum gravity in four dimensions
• Further evidence that the transition of 4D dynamical triangulation is 1st order
• Singular Vertices and the Triangulation Space of the D-sphere
• Monte Carlo simulations of 4d simplicial quantum gravity