{"id":"https://openalex.org/W4200534273","doi":"https://doi.org/10.38032/jea.2021.04.007","title":"Volume Charge Density in Geometric Product Lorentz Transformation","display_name":"Volume Charge Density in Geometric Product Lorentz Transformation","publication_year":2021,"publication_date":"2021-12-26","ids":{"openalex":"https://openalex.org/W4200534273","doi":"https://doi.org/10.38032/jea.2021.04.007"},"language":"en","primary_location":{"id":"doi:10.38032/jea.2021.04.007","doi":"https://doi.org/10.38032/jea.2021.04.007","is_oa":true,"landing_page_url":"https://doi.org/10.38032/jea.2021.04.007","pdf_url":"https://scienpg.com/jea/index.php/jea/article/download/jea-2021-04-007/jea-2021-04-007","source":{"id":"https://openalex.org/S4210236805","display_name":"Journal of Engineering Advancements","issn_l":"2708-6429","issn":["2708-6429","2708-6437"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Engineering Advancements","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://scienpg.com/jea/index.php/jea/article/download/jea-2021-04-007/jea-2021-04-007","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100668228","display_name":"Md. Ashraful Alam","orcid":"https://orcid.org/0000-0001-9703-9072","observed_orcids":["https://orcid.org/0000-0001-9703-9072"]},"institutions":[{"id":"https://openalex.org/I4405280718","display_name":"University of Creative Technology Chittagong","ror":"https://ror.org/03bfmh997","country_code":"BD","type":"education","lineage":["https://openalex.org/I4405280718"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"Md. Ashraful Alam","raw_affiliation_strings":["Department of Mechanical Engineering, University of Creative Technology, Chittagong, Chattogram-4212, Bangladesh"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Creative Technology, Chittagong, Chattogram-4212, Bangladesh","institution_ids":["https://openalex.org/I4405280718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044057236","display_name":"Atikur Rahman Baizid","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4405260320","display_name":"Barishal Engineering College","ror":"https://ror.org/03jsqye23","country_code":"BD","type":"education","lineage":["https://openalex.org/I4405260320"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"Atikur Rahman Baizid","raw_affiliation_strings":["Department of Related Subjects, Barisal Engineering College, Barishal-8200, Bangladesh"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Related Subjects, Barisal Engineering College, Barishal-8200, Bangladesh","institution_ids":["https://openalex.org/I4405260320"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16896543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"217","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.8467000126838684,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.8467000126838684,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.14259999990463257,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.0031999999191612005,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lorentz-transformation","display_name":"Lorentz transformation","score":0.9190000295639038},{"id":"https://openalex.org/keywords/geometric-product","display_name":"geometric product","score":0.7860000133514404},{"id":"https://openalex.org/keywords/volume-charge-density","display_name":"volume charge density","score":0.9879999756813049},{"id":"https://openalex.org/keywords/moving-frames","display_name":"moving frames","score":0.5389999747276306},{"id":"https://openalex.org/keywords/rest-frame","display_name":"rest frame","score":0.8309999704360962},{"id":"https://openalex.org/keywords/relativistic-electrodynamics","display_name":"relativistic electrodynamics","score":0.7080000042915344}],"concepts":[{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.8772376179695129},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.7900757789611816},{"id":"https://openalex.org/C2777293921","wikidata":"https://www.wikidata.org/wiki/Q7316045","display_name":"Rest frame","level":4,"score":0.7755312919616699},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.7211554050445557},{"id":"https://openalex.org/C200756819","wikidata":"https://www.wikidata.org/wiki/Q1068463","display_name":"Four-momentum","level":4,"score":0.7121573090553284},{"id":"https://openalex.org/C166034273","wikidata":"https://www.wikidata.org/wiki/Q4817630","display_name":"Moving magnet and conductor problem","level":5,"score":0.7034533619880676},{"id":"https://openalex.org/C172849965","wikidata":"https://www.wikidata.org/wiki/Q3148875","display_name":"Reference frame","level":3,"score":0.6070407032966614},{"id":"https://openalex.org/C74992021","wikidata":"https://www.wikidata.org/wiki/Q184876","display_name":"Frame of reference","level":2,"score":0.6062503457069397},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.5373901724815369},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5362517237663269},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5006239414215088},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.47177791595458984},{"id":"https://openalex.org/C124369789","wikidata":"https://www.wikidata.org/wiki/Q599404","display_name":"Lorentz factor","level":3,"score":0.4655244052410126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4525515139102936},{"id":"https://openalex.org/C20056189","wikidata":"https://www.wikidata.org/wiki/Q1715792","display_name":"Velocity-addition formula","level":5,"score":0.4336661696434021},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3595415949821472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31162673234939575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10583919286727905},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0795411467552185},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C33024259","wikidata":"https://www.wikidata.org/wiki/Q76250","display_name":"Redshift","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.38032/jea.2021.04.007","doi":"https://doi.org/10.38032/jea.2021.04.007","is_oa":true,"landing_page_url":"https://doi.org/10.38032/jea.2021.04.007","pdf_url":"https://scienpg.com/jea/index.php/jea/article/download/jea-2021-04-007/jea-2021-04-007","source":{"id":"https://openalex.org/S4210236805","display_name":"Journal of Engineering Advancements","issn_l":"2708-6429","issn":["2708-6429","2708-6437"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Engineering Advancements","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.38032/jea.2021.04.007","doi":"https://doi.org/10.38032/jea.2021.04.007","is_oa":true,"landing_page_url":"https://doi.org/10.38032/jea.2021.04.007","pdf_url":"https://scienpg.com/jea/index.php/jea/article/download/jea-2021-04-007/jea-2021-04-007","source":{"id":"https://openalex.org/S4210236805","display_name":"Journal of Engineering Advancements","issn_l":"2708-6429","issn":["2708-6429","2708-6437"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Engineering Advancements","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4200534273.pdf","grobid_xml":"https://content.openalex.org/works/W4200534273.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1001355098","https://openalex.org/W1547371303","https://openalex.org/W1630344695","https://openalex.org/W1656390051","https://openalex.org/W2016137452","https://openalex.org/W2120210085","https://openalex.org/W2328846019","https://openalex.org/W2512924259","https://openalex.org/W2944487654","https://openalex.org/W7006383400"],"related_works":["https://openalex.org/W2944044016","https://openalex.org/W2512924259","https://openalex.org/W2944487654","https://openalex.org/W2050403130","https://openalex.org/W7096846707","https://openalex.org/W3209938789","https://openalex.org/W4245738057","https://openalex.org/W1001355098","https://openalex.org/W4234669328","https://openalex.org/W6885115694"],"abstract_inverted_index":{"Lorentz":[0,47,67],"Transformation":[1,68],"is":[2,18],"the":[3,36,40],"relationship":[4],"between":[5],"two":[6],"different":[7],"coordinate":[8],"frames":[9],"time":[10],"and":[11,72],"space":[12],"when":[13],"one":[14],"inertial":[15,22],"reference":[16,23],"frame":[17,24,57,63],"relative":[19,28],"to":[20],"another":[21],"with":[25],"traveling":[26],"at":[27,69],"speed.":[29],"In":[30],"this":[31],"paper,":[32],"we":[33],"have":[34],"derived":[35],"transformation":[37],"formula":[38],"for":[39],"volume":[41,52],"charge":[42,53],"density":[43,54],"in":[44,58,64],"Geometric":[45,65],"Product":[46,66],"Transformation.":[48],"The":[49],"changes":[50],"of":[51,55,60],"moving":[56],"terms":[59],"that":[61],"rest":[62],"various":[70],"velocities":[71],"angles":[73],"were":[74],"studied":[75],"as":[76],"well.":[77]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2021-12-31T00:00:00"}