{"id":{"repo_id":"mississippi","oai_identifier":"oai:egrove.olemiss.edu:etd-2528"},"canonical_url":"https://search.dev.ndltd.org/etd/mississippi/oai:egrove.olemiss.edu:etd-2528","repository":{"repo_id":"mississippi","name":"University of Mississippi","base_url":"https://egrove.olemiss.edu/do/oai/"},"display":{"title":"Manifoldlike Causal Sets","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Aghili, Miremad"],"institution":null,"degree_name":"Ph.D. in Physics","degree_level":"Dissertation","degree_discipline":"Physics and Astronomy","degree_department":null,"school":null,"contributors":["Luca Bombelli","Kevin Beach","Gerard Buskes"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-01-01T08:00:00Z","date_published":"2019-01-01T08:00:00Z","updated_at":"2026-07-24T03:07:00Z","subjects":["Causal Sets","Directed Graphs","Manifold","Partial Order","Quantum Gravity","Physics"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://egrove.olemiss.edu/etd/1529","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Luca Bombelli","Kevin Beach","Gerard Buskes"]},{"key":"dc:creator","label":"Author","values":["Aghili, Miremad"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2020-01-23T08:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics and Astronomy"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D. in Physics"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Causal Sets","Directed Graphs","Manifold","Partial Order","Quantum Gravity","Physics"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://egrove.olemiss.edu/etd/1529"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Manifoldlike Causal Sets"]}]}],"canonical_facts":{"dc:contributor":["Luca Bombelli","Kevin Beach","Gerard Buskes"],"dc:creator":["Aghili, Miremad"],"dc:date.available":["2020-01-23T08:00:00Z"],"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."],"dc:identifier":["https://egrove.olemiss.edu/etd/1529"],"dc:subject":["Causal Sets","Directed Graphs","Manifold","Partial Order","Quantum Gravity","Physics"],"dc:title":["Manifoldlike Causal Sets"],"thesis:degree_discipline":["Physics and Astronomy"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D. in Physics"]},"updated_at":"2026-07-24T03:07:00Z"}