{"id":"https://openalex.org/W7119255868","doi":null,"title":"title.alternative","display_name":"title.alternative","publication_year":2023,"publication_date":"2023-07-21","ids":{"openalex":"https://openalex.org/W7119255868"},"language":"pt","primary_location":{"id":"pmh:oai:repositorio.ufes.br:10/17195","doi":null,"is_oa":true,"landing_page_url":"http://repositorio.ufes.br/handle/10/17195","pdf_url":null,"source":{"id":"https://openalex.org/S4377196748","display_name":"riUfes (Universidade Federal do Esp\u00edrito Santo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51235708","host_organization_name":"Universidade Federal do Esp\u00edrito Santo","host_organization_lineage":["https://openalex.org/I51235708"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"masterThesis"},"volume":null,"type":"dissertation","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://repositorio.ufes.br/handle/10/17195","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5122215368","display_name":"Sthefanny Rupf Moreira","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Moreira, Sthefanny Rupf","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5122215368"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9994999766349792,"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/T10622","display_name":"Quantum Mechanics and Applications","score":9.999999747378752e-05,"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":0.0,"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/generalized-uncertainty-principle","display_name":"generalized uncertainty principle","score":0.9319999814033508},{"id":"https://openalex.org/keywords/minimum-length","display_name":"minimal length","score":0.9369999766349792},{"id":"https://openalex.org/keywords/quantum-gravity","display_name":"quantum gravity","score":0.9860000014305115},{"id":"https://openalex.org/keywords/position-operator","display_name":"position operator","score":0.5860000252723694},{"id":"https://openalex.org/keywords/momentum-operator","display_name":"momentum operator","score":0.9769999980926514},{"id":"https://openalex.org/keywords/representation-space","display_name":"representation space","score":0.4819999933242798},{"id":"https://openalex.org/keywords/functional-analysis","display_name":"functional analysis","score":0.6800000071525574},{"id":"https://openalex.org/keywords/heisenberg-uncertainty-principle","display_name":"uncertainty principle","score":0.7409999966621399}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6621000170707703},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6021000146865845},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.6014000177383423},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.5501000285148621},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5231999754905701},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.49950000643730164},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4020000100135803},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.40049999952316284},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3799000084400177},{"id":"https://openalex.org/C2776230367","wikidata":"https://www.wikidata.org/wiki/Q7314222","display_name":"Representation theorem","level":2,"score":0.37619999051094055},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.37299999594688416},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.3538999855518341},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3531000018119812},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3465999960899353},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.33629998564720154},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.296099990606308},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29499998688697815},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2842000126838684},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2720000147819519},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.2597000002861023},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25459998846054077}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:repositorio.ufes.br:10/17195","doi":null,"is_oa":true,"landing_page_url":"http://repositorio.ufes.br/handle/10/17195","pdf_url":null,"source":{"id":"https://openalex.org/S4377196748","display_name":"riUfes (Universidade Federal do Esp\u00edrito Santo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51235708","host_organization_name":"Universidade Federal do Esp\u00edrito Santo","host_organization_lineage":["https://openalex.org/I51235708"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"masterThesis"}],"best_oa_location":{"id":"pmh:oai:repositorio.ufes.br:10/17195","doi":null,"is_oa":true,"landing_page_url":"http://repositorio.ufes.br/handle/10/17195","pdf_url":null,"source":{"id":"https://openalex.org/S4377196748","display_name":"riUfes (Universidade Federal do Esp\u00edrito Santo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I51235708","host_organization_name":"Universidade Federal do Esp\u00edrito Santo","host_organization_lineage":["https://openalex.org/I51235708"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"masterThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3177142242","https://openalex.org/W4200420701","https://openalex.org/W3027832195","https://openalex.org/W2259725457","https://openalex.org/W2595870466","https://openalex.org/W7211914796","https://openalex.org/W4386021021","https://openalex.org/W2145787902","https://openalex.org/W2142397325","https://openalex.org/W4220810526"],"abstract_inverted_index":{"The":[0,18,104,139],"different":[1,75],"proposals":[2,76,158],"for":[3,77,155],"quantum":[4,43],"gravity,":[5],"almost":[6],"in":[7,27,38,86,161,173],"their":[8],"entirety,":[9],"lead":[10],"to":[11,109,115,146,163],"the":[12,28,34,45,61,68,83,88,97,111,117,120,122,128,132,156,165,168,174],"existence":[13],"of":[14,20,47,67,82,99,134,141,151,159,167],"a":[15,21,39,42,48,57,65,80,148],"minimum":[16,22,49,58],"length.":[17],"introduction":[19],"length":[23,50],"causes":[24],"radical":[25],"changes":[26],"mathematical":[29],"description,":[30],"as":[31,33],"well":[32],"physical":[35,93],"concepts":[36],"involved":[37],"theory.":[40],"In":[41],"theory":[44],"implementation":[46],"scenario":[51],"can":[52],"be":[53],"achieved":[54],"by":[55,126],"imposing":[56],"uncertainty":[59,70,85],"on":[60],"position,":[62,87,121],"obtained":[63,125],"through":[64],"generalization":[66],"Heisenberg":[69],"principle":[71],"(GUP).":[72],"There":[73],"are":[74,91],"GUPs.":[78],"As":[79],"result":[81],"minimal":[84],"operator\u2019s":[89],"eigenstates":[90],"not":[92],"states,":[94],"which":[95],"makes":[96],"use":[98,110],"position":[100,169],"space":[101],"representation":[102,124,153],"inappropriate.":[103],"most":[105],"natural":[106],"alternative":[107],"is":[108,137],"moment-space":[112],"representation.":[113],"However,":[114],"retrieve":[116],"information":[118],"about":[119],"quasi-position":[123,175],"projecting":[127],"state":[129],"vector":[130],"onto":[131],"states":[133],"maximum":[135],"location":[136],"used.":[138],"objective":[140],"this":[142],"work":[143],"is,":[144],"then,":[145],"make":[147],"functional":[149],"analysis":[150],"these":[152],"spaces":[154],"main":[157],"GUPs,":[160],"particular":[162],"determine":[164],"representations":[166],"and":[170],"moment":[171],"operators":[172],"space.":[176]},"counts_by_year":[],"updated_date":"2026-09-22T17:25:34.749102","created_date":"2026-01-08T00:00:00"}