Statistical geometry of random weave states

Abstract

I describe the first steps in the construction of semiclassical states for non-perturbative canonical quantum gravity using ideas from classical, Riemannian statistical geometry and results from quantum geometry of spin network states. In particular, I concentrate on how those techniques are applied to the construction of random spin networks, and the calculation of their contribution to areas and volumes.

10 pages, LaTeX, submitted to the Proceedings of the IX Marcel Grossmann Meeting, Rome, July 2-8, 2000

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