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University of Mississippi

Manifoldlike Causal Sets

Abstract

dc:description.abstract

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D. in Physics
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Physics and Astronomy
Year dc:date.available
2019

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Aghili, Miremad
Contributors dc:contributor
  • Luca Bombelli
  • Kevin Beach
  • Gerard Buskes

Subjects

dc:subject × 6

Identifiers

dc:identifier.*
Repository record dc:identifier
https://egrove.olemiss.edu/etd/1529
OAI identifier oai:identifier
oai:egrove.olemiss.edu:etd-2528

Chain of custody

source
Harvested from
University of Mississippi
Base URL
egrove.olemiss.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Aghili, Miremad. Manifoldlike Causal Sets. Dissertation thesis, 2019. https://egrove.olemiss.edu/etd/1529