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On the entropy bound of three dimensional simplicial gravity

MOGAMI, Tsuguo

hep-latarXiv:hep-lat/9503023

Abstract

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 S3 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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