{"id":"https://openalex.org/W1971439019","doi":"https://doi.org/10.3390/e17010197","title":"Deduction of Lorentz Transformations from Classical Thermodynamics","display_name":"Deduction of Lorentz Transformations from Classical Thermodynamics","publication_year":2015,"publication_date":"2015-01-08","ids":{"openalex":"https://openalex.org/W1971439019","doi":"https://doi.org/10.3390/e17010197","mag":"1971439019"},"language":"en","primary_location":{"id":"doi:10.3390/e17010197","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17010197","pdf_url":"https://www.mdpi.com/1099-4300/17/1/197/pdf?version=1424785941","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/17/1/197/pdf?version=1424785941","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109931903","display_name":"Angela De Parga","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Angela De Parga","raw_affiliation_strings":["Department of Physics, School of Physics and Mathematics, National Polytechnic Institute, U.P. Adolfo L\u00f3pez Mateos, Zacatenco, C.P. 07738, Mexico D.F., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, School of Physics and Mathematics, National Polytechnic Institute, U.P. Adolfo L\u00f3pez Mateos, Zacatenco, C.P. 07738, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041031923","display_name":"F. Angulo\u2010Brown","orcid":"https://orcid.org/0000-0002-7965-890X"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Fernado Angulo-Brown","raw_affiliation_strings":["Department of Physics, School of Physics and Mathematics, National Polytechnic Institute, U.P. Adolfo L\u00f3pez Mateos, Zacatenco, C.P. 07738, Mexico D.F., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, School of Physics and Mathematics, National Polytechnic Institute, U.P. Adolfo L\u00f3pez Mateos, Zacatenco, C.P. 07738, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103392800","display_name":"Gonzalo De Parga","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Gonzalo De Parga","raw_affiliation_strings":["Department of Physics, School of Physics and Mathematics, National Polytechnic Institute, U.P. Adolfo L\u00f3pez Mateos, Zacatenco, C.P. 07738, Mexico D.F., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, School of Physics and Mathematics, National Polytechnic Institute, U.P. Adolfo L\u00f3pez Mateos, Zacatenco, C.P. 07738, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103392800"],"corresponding_institution_ids":["https://openalex.org/I59361560"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.6493,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.76659029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"1","first_page":"197","last_page":"213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/carnot-cycle","display_name":"Carnot cycle","score":0.6660847663879395},{"id":"https://openalex.org/keywords/lorentz-transformation","display_name":"Lorentz transformation","score":0.6352659463882446},{"id":"https://openalex.org/keywords/second-law-of-thermodynamics","display_name":"Second law of thermodynamics","score":0.6339384317398071},{"id":"https://openalex.org/keywords/inertial-frame-of-reference","display_name":"Inertial frame of reference","score":0.6250467896461487},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6004185676574707},{"id":"https://openalex.org/keywords/four-momentum","display_name":"Four-momentum","score":0.5871871709823608},{"id":"https://openalex.org/keywords/one-way-speed-of-light","display_name":"One-way speed of light","score":0.5816746354103088},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.5754193067550659},{"id":"https://openalex.org/keywords/laws-of-thermodynamics","display_name":"Laws of thermodynamics","score":0.516539990901947},{"id":"https://openalex.org/keywords/rest-frame","display_name":"Rest frame","score":0.5118679404258728},{"id":"https://openalex.org/keywords/extended-irreversible-thermodynamics","display_name":"Extended irreversible thermodynamics","score":0.5102076530456543},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4996066093444824},{"id":"https://openalex.org/keywords/black-body-radiation","display_name":"Black-body radiation","score":0.4730353057384491},{"id":"https://openalex.org/keywords/lorentz-covariance","display_name":"Lorentz covariance","score":0.44672781229019165},{"id":"https://openalex.org/keywords/velocity-addition-formula","display_name":"Velocity-addition formula","score":0.4321291446685791},{"id":"https://openalex.org/keywords/frame-of-reference","display_name":"Frame of reference","score":0.4130327105522156},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.3773130178451538},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.31335389614105225},{"id":"https://openalex.org/keywords/principle-of-relativity","display_name":"Principle of relativity","score":0.24459925293922424},{"id":"https://openalex.org/keywords/theory-of-relativity","display_name":"Theory of relativity","score":0.1898796558380127},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11775252223014832},{"id":"https://openalex.org/keywords/four-force","display_name":"Four-force","score":0.07418462634086609}],"concepts":[{"id":"https://openalex.org/C119104473","wikidata":"https://www.wikidata.org/wiki/Q188910","display_name":"Carnot cycle","level":2,"score":0.6660847663879395},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.6352659463882446},{"id":"https://openalex.org/C119820323","wikidata":"https://www.wikidata.org/wiki/Q177045","display_name":"Second law of thermodynamics","level":2,"score":0.6339384317398071},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.6250467896461487},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6004185676574707},{"id":"https://openalex.org/C200756819","wikidata":"https://www.wikidata.org/wiki/Q1068463","display_name":"Four-momentum","level":4,"score":0.5871871709823608},{"id":"https://openalex.org/C12828959","wikidata":"https://www.wikidata.org/wiki/Q1164669","display_name":"One-way speed of light","level":5,"score":0.5816746354103088},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5754193067550659},{"id":"https://openalex.org/C18815010","wikidata":"https://www.wikidata.org/wiki/Q849392","display_name":"Laws of thermodynamics","level":3,"score":0.516539990901947},{"id":"https://openalex.org/C2777293921","wikidata":"https://www.wikidata.org/wiki/Q7316045","display_name":"Rest frame","level":4,"score":0.5118679404258728},{"id":"https://openalex.org/C140767772","wikidata":"https://www.wikidata.org/wiki/Q5421889","display_name":"Extended irreversible thermodynamics","level":3,"score":0.5102076530456543},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4996066093444824},{"id":"https://openalex.org/C157909335","wikidata":"https://www.wikidata.org/wiki/Q900097","display_name":"Black-body radiation","level":3,"score":0.4730353057384491},{"id":"https://openalex.org/C71993908","wikidata":"https://www.wikidata.org/wiki/Q1093427","display_name":"Lorentz covariance","level":3,"score":0.44672781229019165},{"id":"https://openalex.org/C20056189","wikidata":"https://www.wikidata.org/wiki/Q1715792","display_name":"Velocity-addition formula","level":5,"score":0.4321291446685791},{"id":"https://openalex.org/C74992021","wikidata":"https://www.wikidata.org/wiki/Q184876","display_name":"Frame of reference","level":2,"score":0.4130327105522156},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.3773130178451538},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.31335389614105225},{"id":"https://openalex.org/C75195261","wikidata":"https://www.wikidata.org/wiki/Q945995","display_name":"Principle of relativity","level":4,"score":0.24459925293922424},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.1898796558380127},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11775252223014832},{"id":"https://openalex.org/C200028538","wikidata":"https://www.wikidata.org/wiki/Q5474919","display_name":"Four-force","level":3,"score":0.07418462634086609},{"id":"https://openalex.org/C33024259","wikidata":"https://www.wikidata.org/wiki/Q76250","display_name":"Redshift","level":3,"score":0.0},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.0},{"id":"https://openalex.org/C153385146","wikidata":"https://www.wikidata.org/wiki/Q18335","display_name":"Radiation","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/e17010197","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17010197","pdf_url":"https://www.mdpi.com/1099-4300/17/1/197/pdf?version=1424785941","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a2646091fd8a41f495f070c3ebae62dd","is_oa":true,"landing_page_url":"https://doaj.org/article/a2646091fd8a41f495f070c3ebae62dd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 17, Iss 1, Pp 197-213 (2015)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/17/1/197/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/e17010197","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e17010197","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e17010197","pdf_url":"https://www.mdpi.com/1099-4300/17/1/197/pdf?version=1424785941","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1971439019.pdf","grobid_xml":"https://content.openalex.org/works/W1971439019.grobid-xml"},"referenced_works_count":46,"referenced_works":["https://openalex.org/W1606682910","https://openalex.org/W1657936683","https://openalex.org/W1769305476","https://openalex.org/W1964828873","https://openalex.org/W1973266833","https://openalex.org/W1976528290","https://openalex.org/W1985369840","https://openalex.org/W1985916365","https://openalex.org/W1989141884","https://openalex.org/W1991179303","https://openalex.org/W1994686466","https://openalex.org/W1999870948","https://openalex.org/W2000070099","https://openalex.org/W2003044663","https://openalex.org/W2008184201","https://openalex.org/W2008326969","https://openalex.org/W2026944958","https://openalex.org/W2026986932","https://openalex.org/W2033489282","https://openalex.org/W2035115555","https://openalex.org/W2040735661","https://openalex.org/W2051785812","https://openalex.org/W2051943809","https://openalex.org/W2052723426","https://openalex.org/W2073737425","https://openalex.org/W2083767253","https://openalex.org/W2086589863","https://openalex.org/W2088336775","https://openalex.org/W2089995210","https://openalex.org/W2090959241","https://openalex.org/W2095280474","https://openalex.org/W2105008610","https://openalex.org/W2135858024","https://openalex.org/W2145578289","https://openalex.org/W2296899388","https://openalex.org/W2573774855","https://openalex.org/W2949977919","https://openalex.org/W3004298581","https://openalex.org/W3016640939","https://openalex.org/W3098139397","https://openalex.org/W3104562437","https://openalex.org/W3122538010","https://openalex.org/W3123282552","https://openalex.org/W4241774173","https://openalex.org/W4245986608","https://openalex.org/W6636996744"],"related_works":["https://openalex.org/W1619907249","https://openalex.org/W2048415683","https://openalex.org/W2127353644","https://openalex.org/W2967308599","https://openalex.org/W2050645929","https://openalex.org/W2039295319","https://openalex.org/W1654297776","https://openalex.org/W2168581390","https://openalex.org/W2322438829","https://openalex.org/W1971439019"],"abstract_inverted_index":{"The":[0],"Lorentz":[1,77],"transformations":[2,78],"are":[3,13,24,79],"obtained":[4],"by":[5,42],"assuming":[6],"that":[7,33],"the":[8,35,38,45,50,53,67,76,84],"laws":[9,46],"of":[10,17,37,40,44,47,52,86],"classical":[11,48,87],"thermodynamics":[12,88],"invariant":[14],"under":[15,58],"changes":[16],"inertial":[18],"reference":[19,59],"frames.":[20],"As":[21],"Maxwell":[22],"equations":[23],"used":[25],"in":[26,72],"order":[27],"to":[28],"deduce":[29],"a":[30,73],"wave":[31],"equation":[32],"shows":[34],"constancy":[36],"speed":[39],"light,":[41],"means":[43],"thermodynamics,":[49],"invariance":[51],"Carnot":[54],"cycle":[55],"is":[56,89],"deduced":[57],"frame":[60],"changes.":[61],"Starting":[62],"with":[63],"this":[64],"result":[65],"and":[66],"blackbody":[68],"particle":[69],"number":[70],"density":[71],"rest":[74],"frame,":[75],"obtained.":[80],"A":[81],"discussion":[82],"about":[83],"universality":[85],"given.":[90]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}
