{"id":{"repo_id":"unr","oai_identifier":"oai:scholarwolf.unr.edu:11714/580"},"canonical_url":"https://search.dev.ndltd.org/etd/unr/oai:scholarwolf.unr.edu:11714/580","repository":{"repo_id":"unr","name":"University of Nevada - Reno","base_url":"https://scholarwolf.unr.edu/server/oai/request"},"display":{"title":"Novel Derivations of the Metric from the Newtonian Potential and of the Relativistic Quantum Equation","abstract":"I derive the general relativistic metric in terms of Newtonian potentials. The result simplifies addition of metrics. Metric operations are derived. I further hypothesize that the symmetric metric could represent an electromagnetic field as well as a gravitational field. I unify the two fields of electromagnetism and gravity into one symmetric metric. In the second part of this thesis, I derive a novel relativistic quantum equation. The operators are derived, and the uncertainty relations are found. Solutions are analyzed for the flatspace metric. The relativistic harmonic oscillator and 1/r potentials are also presented. The 1/r potential is useful for studying the motion of a particle orbiting a hydrogen atom or a black hole.","abstract_html":"I derive the general relativistic metric in terms of Newtonian potentials. The result simplifies addition of metrics. Metric operations are derived. I further hypothesize that the symmetric metric could represent an electromagnetic field as well as a gravitational field. I unify the two fields of electromagnetism and gravity into one symmetric metric. In the second part of this thesis, I derive a novel relativistic quantum equation. The operators are derived, and the uncertainty relations are found. Solutions are analyzed for the flatspace metric. The relativistic harmonic oscillator and 1/r potentials are also presented. The 1/r potential is useful for studying the motion of a particle orbiting a hydrogen atom or a black hole.","abstract_has_math":false,"creators":["Greenhalgh, Frank"],"institution":"University of Nevada, Reno","degree_name":"Physics","degree_level":"Honors Thesis","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Derevianko, Andrei"],"committee_chairs":[],"committee_members":[],"year":2013,"date_issued":"2013","date_published":"2013","updated_at":"2026-07-27T21:47:58Z","subjects":[],"languages":["en_US","English"],"rights":["In Copyright(All Rights Reserved)"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11714/580","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Derevianko, Andrei"]},{"key":"dc:creator","label":"Author","values":["Greenhalgh, Frank"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-01-24T23:09:13Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2017-01-24T23:09:13Z"]},{"key":"dc:date.issued","label":"Date","values":["2013"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Honors Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Physics","Mathematics"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Nevada, Reno"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]},{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright(All Rights Reserved)"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11714/580"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["The University of Nevada, Reno Libraries will promptly respond to removal requests related to content that violates intellectual property laws, data protections, or has been uploaded without creator consent. Takedown notices should be directed to our ScholarWolf team (scholarwolf@library.unr.edu) with information about the object, including its full URL and the nature of your complaint."]},{"key":"dc:description.abstract","label":"Abstract","values":["I derive the general relativistic metric in terms of Newtonian potentials. The result simplifies addition of metrics. Metric operations are derived. I further hypothesize that the symmetric metric could represent an electromagnetic field as well as a gravitational field. I unify the two fields of electromagnetism and gravity into one symmetric metric. In the second part of this thesis, I derive a novel relativistic quantum equation. The operators are derived, and the uncertainty relations are found. Solutions are analyzed for the flatspace metric. The relativistic harmonic oscillator and 1/r potentials are also presented. The 1/r potential is useful for studying the motion of a particle orbiting a hydrogen atom or a black hole."]},{"key":"dc:format","label":"Dc Format","values":["PDF"]},{"key":"dc:title","label":"Title","values":["Novel Derivations of the Metric from the Newtonian Potential and of the Relativistic Quantum Equation"]}]}],"canonical_facts":{"dc:contributor.advisor":["Derevianko, Andrei"],"dc:creator":["Greenhalgh, Frank"],"dc:date.accessioned":["2017-01-24T23:09:13Z"],"dc:date.available":["2017-01-24T23:09:13Z"],"dc:date.issued":["2013"],"dc:description":["The University of Nevada, Reno Libraries will promptly respond to removal requests related to content that violates intellectual property laws, data protections, or has been uploaded without creator consent. Takedown notices should be directed to our ScholarWolf team (scholarwolf@library.unr.edu) with information about the object, including its full URL and the nature of your complaint."],"dc:description.abstract":["I derive the general relativistic metric in terms of Newtonian potentials. The result simplifies addition of metrics. Metric operations are derived. I further hypothesize that the symmetric metric could represent an electromagnetic field as well as a gravitational field. I unify the two fields of electromagnetism and gravity into one symmetric metric. In the second part of this thesis, I derive a novel relativistic quantum equation. The operators are derived, and the uncertainty relations are found. Solutions are analyzed for the flatspace metric. The relativistic harmonic oscillator and 1/r potentials are also presented. The 1/r potential is useful for studying the motion of a particle orbiting a hydrogen atom or a black hole."],"dc:format":["PDF"],"dc:identifier.uri":["http://hdl.handle.net/11714/580"],"dc:language":["English"],"dc:language.iso":["en_US"],"dc:rights":["In Copyright(All Rights Reserved)"],"dc:title":["Novel Derivations of the Metric from the Newtonian Potential and of the Relativistic Quantum Equation"],"dc:type":["Thesis"],"thesis:degree_level":["Honors Thesis"],"thesis:degree_name":["Physics","Mathematics"],"thesis:institution_name":["University of Nevada, Reno"]},"updated_at":"2026-07-27T21:47:58Z"}