Electronic Theses and Dissertations

Date of Award


Document Type


Degree Name

Ph.D. in Physics


Physics and Astronomy

First Advisor

Luca Bombelli

Second Advisor

Kevin Beach

Third Advisor

Gerard Buskes

Relational Format



The content of this dissertation is written in a way to answer the important question of manifold likeness of causal sets. This problem has importance in the sense that in the continuum limit and in the case one finds a formalism for the sum over histories, the result requires to be embeddable in a manifold to be able to reproduce General Relativity. In what follows I will use the distribution of path length in a causal set to assign a measure for manifold likeness of causal sets to eliminate the dominance of nonmanifold like causal sets. The distribution of interval sizes is also investigated as a way to find the discrete version of scalar curvature in causal sets in order to present a dynamics of gravitational fields.

Included in

Physics Commons


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