On the entropy bound of three dimensional simplicial gravity

Details On the entropy bound of three dimensional simplicial gravity On the entropy bound of three dimensional simplicial gravity

1995-03-27

arxiv.org/abs/hep-lat/9503023v1

Prog.Theor.Phys. 94 (1995) 157-162

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, two figures (in uudecode compressed tar)

Scientific paper

10.1143/PTP.94.157

It is proven that the partition function of 3-dimensional simplicial gravity
has an exponential upper bound with the following assumption: any three
dimensional sphere $S^3$ is constructed by repeated identification of
neighboring links and neighboring triangles in the boundary of a simplicial
3-ball. This assumption is weaker than the one proposed by other authors.

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