{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/30773"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/30773","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Length standards and the twin paradox in the special theory of relativity","abstract":"\"In this Thesis I work towards a discussion of several resolutions of the Twin Paradox by exploring the Lorentz transformations. I begin by asking what it means for a moving length to contract1 a question which obviously cannot be divorced from the propagation of length standards from one reference frame to another. I emphasize the conventionality of definitions of length. I go on to argue that it is the imposition of clock synchronization-the conventionality of one-way speeds-and not the effects of acceleration which leads to the asymmetry of light speed observed in the Sagnac effect; and further, that this asymmetry leads to apparent paradoxes which are easily resolved when we take into account general covariance. In subsequent discussion of light-speed conventionality, I prove that any transform which preserves synchronization consistent with Michelson-Morley must be a similarity transform; and use this to demonstrate that not all results which appear to depend on Special Relativity actually do. I conclude this Thesis with an argument that the Twin Paradox cannot be resolved consistently if we impose simultaneously all ·'physical\"\" conditions which various resolutions impose in part.\"","abstract_html":""In this Thesis I work towards a discussion of several resolutions of the Twin Paradox by exploring the Lorentz transformations. I begin by asking what it means for a moving length to contract1 a question which obviously cannot be divorced from the propagation of length standards from one reference frame to another. I emphasize the conventionality of definitions of length. I go on to argue that it is the imposition of clock synchronization-the conventionality of one-way speeds-and not the effects of acceleration which leads to the asymmetry of light speed observed in the Sagnac effect; and further, that this asymmetry leads to apparent paradoxes which are easily resolved when we take into account general covariance. In subsequent discussion of light-speed conventionality, I prove that any transform which preserves synchronization consistent with Michelson-Morley must be a similarity transform; and use this to demonstrate that not all results which appear to depend on Special Relativity actually do. I conclude this Thesis with an argument that the Twin Paradox cannot be resolved consistently if we impose simultaneously all ·'physical"" conditions which various resolutions impose in part."","abstract_has_math":false,"creators":["Carrubba, James G."],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Stone, Michael"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-04-26T21:10:58Z","date_published":"2012-04-26T21:10:58Z","updated_at":"2026-07-22T22:25:29Z","subjects":["length standards","twin paradox","special theory of relativity"],"languages":["en"],"rights":["©1997 Carrubba"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["4055726"],"render_values":[{"text":"4055726","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/30773","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Stone, Michael"]},{"key":"dc:creator","label":"Author","values":["Carrubba, James G."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2012-04-26T21:10:58Z","10000-01-01","1997"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["length standards","twin paradox","special theory of relativity"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["©1997 Carrubba"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/30773","4055726"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["\"In this Thesis I work towards a discussion of several resolutions of the Twin Paradox by exploring the Lorentz transformations. I begin by asking what it means for a moving length to contract1 a question which obviously cannot be divorced from the propagation of length standards from one reference frame to another. I emphasize the conventionality of definitions of length. I go on to argue that it is the imposition of clock synchronization-the conventionality of one-way speeds-and not the effects of acceleration which leads to the asymmetry of light speed observed in the Sagnac effect; and further, that this asymmetry leads to apparent paradoxes which are easily resolved when we take into account general covariance. In subsequent discussion of light-speed conventionality, I prove that any transform which preserves synchronization consistent with Michelson-Morley must be a similarity transform; and use this to demonstrate that not all results which appear to depend on Special Relativity actually do. I conclude this Thesis with an argument that the Twin Paradox cannot be resolved consistently if we impose simultaneously all ·'physical\"\" conditions which various resolutions impose in part.\"","Submitted by William Weathers (weathrs2@illinois.edu) on 2012-04-26T21:10:58Z No. of bitstreams: 1 1997_carrubba.pdf: 5458299 bytes, checksum: 46ab9f767c9fc948091f7467b109b36f (MD5)","Made available in DSpace on 2012-04-26T21:10:58Z (GMT). No. of bitstreams: 1 1997_carrubba.pdf: 5458299 bytes, checksum: 46ab9f767c9fc948091f7467b109b36f (MD5) Previous issue date: 1997","Restriction data tranferred 2014-07-01T11:10:17-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Weathers (weathrs2@illinois.edu) on 2012-04-26T21:10:58Z Item is restricted indefinitely.","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["Length standards and the twin paradox in the special theory of relativity"]}]}],"canonical_facts":{"dc:contributor":["Stone, Michael"],"dc:creator":["Carrubba, James G."],"dc:date":["2012-04-26T21:10:58Z","10000-01-01","1997"],"dc:description":["\"In this Thesis I work towards a discussion of several resolutions of the Twin Paradox by exploring the Lorentz transformations. I begin by asking what it means for a moving length to contract1 a question which obviously cannot be divorced from the propagation of length standards from one reference frame to another. I emphasize the conventionality of definitions of length. I go on to argue that it is the imposition of clock synchronization-the conventionality of one-way speeds-and not the effects of acceleration which leads to the asymmetry of light speed observed in the Sagnac effect; and further, that this asymmetry leads to apparent paradoxes which are easily resolved when we take into account general covariance. In subsequent discussion of light-speed conventionality, I prove that any transform which preserves synchronization consistent with Michelson-Morley must be a similarity transform; and use this to demonstrate that not all results which appear to depend on Special Relativity actually do. I conclude this Thesis with an argument that the Twin Paradox cannot be resolved consistently if we impose simultaneously all ·'physical\"\" conditions which various resolutions impose in part.\"","Submitted by William Weathers (weathrs2@illinois.edu) on 2012-04-26T21:10:58Z No. of bitstreams: 1 1997_carrubba.pdf: 5458299 bytes, checksum: 46ab9f767c9fc948091f7467b109b36f (MD5)","Made available in DSpace on 2012-04-26T21:10:58Z (GMT). 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