Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail.
Beyond Einstein: Perspectives on Geometry, Gravitation, and Cosmology explores the rich interplay between mathematical and physical ideas by studying the interactions of major actors and the roles of important research communities over the course of the last century.
Contributors: A. Ashtekar, J. Earman, J. Ehlers, J. Eisenstaedt, H.J. Fahr, A. Franklin, J. Frauendiener, H. Goenner, D. Kennefick, S. Klainerman, H. Kragh, D. O’Shea, R. Penrose, J. Ritter, T. Sauer, E. Scholz, C. Smeenk, J. Stachel, N. Straumann, R. Wald, S. Walter, C. Will.