{"id":"https://openalex.org/W7101060640","doi":null,"title":"How the Jones polynomial gives rise to physical states of quantum general relativity\u201d, Gen","display_name":"How the Jones polynomial gives rise to physical states of quantum general relativity\u201d, Gen","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W7101060640"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.265.8619","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.265.8619","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/hep-th/9203040v1.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Bernd Br\u00fcgmann","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bernd Br\u00fcgmann","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081882135","display_name":"Rodolfo Gambini","orcid":"https://orcid.org/0000-0002-2988-9902","observed_orcids":["https://orcid.org/0000-0002-2988-9902"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rodolfo Gambini","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Jorge Pullin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jorge Pullin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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":true,"primary_topic":{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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/T11960","display_name":"Relativity and Gravitational Theory","score":0.003599999938160181,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/jones-polynomial","display_name":"Jones polynomial","score":0.9879999756813049},{"id":"https://openalex.org/keywords/quantum-general-relativity","display_name":"quantum general relativity","score":0.8270000219345093},{"id":"https://openalex.org/keywords/loop-representation","display_name":"loop representation","score":0.890999972820282},{"id":"https://openalex.org/keywords/ashtekar-variables","display_name":"Ashtekar variables","score":0.9829999804496765},{"id":"https://openalex.org/keywords/diffeomorphism-constraint","display_name":"diffeomorphism constraint","score":0.8679999709129333},{"id":"https://openalex.org/keywords/hamiltonian-constraint","display_name":"Hamiltonian constraint","score":0.925000011920929},{"id":"https://openalex.org/keywords/knot-invariants","display_name":"knot invariants","score":0.8569999933242798},{"id":"https://openalex.org/keywords/physical-states","display_name":"physical states","score":0.6439999938011169},{"id":"https://openalex.org/keywords/solution-space","display_name":"solution space","score":0.7730000019073486},{"id":"https://openalex.org/keywords/canonical-quantization-of-gravity","display_name":"canonical quantization of gravity","score":0.703000009059906}],"concepts":[{"id":"https://openalex.org/C2778267785","wikidata":"https://www.wikidata.org/wiki/Q5645295","display_name":"Hamiltonian constraint","level":5,"score":0.7699999809265137},{"id":"https://openalex.org/C47556283","wikidata":"https://www.wikidata.org/wiki/Q1058314","display_name":"Diffeomorphism","level":2,"score":0.7440000176429749},{"id":"https://openalex.org/C199238424","wikidata":"https://www.wikidata.org/wiki/Q1368870","display_name":"Wheeler\u2013DeWitt equation","level":5,"score":0.7009000182151794},{"id":"https://openalex.org/C58801389","wikidata":"https://www.wikidata.org/wiki/Q739962","display_name":"Loop quantum gravity","level":4,"score":0.6995999813079834},{"id":"https://openalex.org/C179578378","wikidata":"https://www.wikidata.org/wiki/Q2067074","display_name":"Canonical quantum gravity","level":5,"score":0.5600000023841858},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.5478000044822693},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.48579999804496765},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.4837000072002411},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48260000348091125},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.4810999929904938},{"id":"https://openalex.org/C158913796","wikidata":"https://www.wikidata.org/wiki/Q5961083","display_name":"Canonical quantization","level":4,"score":0.43639999628067017},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.43540000915527344},{"id":"https://openalex.org/C20359954","wikidata":"https://www.wikidata.org/wiki/Q245956","display_name":"Immirzi parameter","level":5,"score":0.4348999857902527},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41600000858306885},{"id":"https://openalex.org/C90738871","wikidata":"https://www.wikidata.org/wiki/Q41642869","display_name":"Configuration space","level":2,"score":0.41290000081062317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4099999964237213},{"id":"https://openalex.org/C40552251","wikidata":"https://www.wikidata.org/wiki/Q5164367","display_name":"Constraint algebra","level":5,"score":0.3695000112056732},{"id":"https://openalex.org/C104367098","wikidata":"https://www.wikidata.org/wiki/Q5454146","display_name":"First class constraint","level":5,"score":0.35370001196861267},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.35179999470710754},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.351500004529953},{"id":"https://openalex.org/C36794415","wikidata":"https://www.wikidata.org/wiki/Q1862434","display_name":"Knot invariant","level":4,"score":0.3452000021934509},{"id":"https://openalex.org/C193125933","wikidata":"https://www.wikidata.org/wiki/Q625841","display_name":"Quantum invariant","level":5,"score":0.33340001106262207},{"id":"https://openalex.org/C52007518","wikidata":"https://www.wikidata.org/wiki/Q4953698","display_name":"Bracket polynomial","level":5,"score":0.3224000036716461},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.3212999999523163},{"id":"https://openalex.org/C204572665","wikidata":"https://www.wikidata.org/wiki/Q914299","display_name":"Spin foam","level":5,"score":0.31279999017715454},{"id":"https://openalex.org/C132770796","wikidata":"https://www.wikidata.org/wiki/Q1528291","display_name":"Jones polynomial","level":4,"score":0.3091000020503998},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C109798219","wikidata":"https://www.wikidata.org/wiki/Q25304038","display_name":"Covariant Hamiltonian field theory","level":3,"score":0.2854999899864197},{"id":"https://openalex.org/C3379466","wikidata":"https://www.wikidata.org/wiki/Q1501876","display_name":"Canonical coordinates","level":3,"score":0.2827000021934509},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27549999952316284},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.26750001311302185},{"id":"https://openalex.org/C4621756","wikidata":"https://www.wikidata.org/wiki/Q18344764","display_name":"Problem of time","level":4,"score":0.25440001487731934}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.265.8619","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.265.8619","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/hep-th/9203040v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2075198574","https://openalex.org/W2068017004","https://openalex.org/W2019617007","https://openalex.org/W2103592272","https://openalex.org/W3159687479","https://openalex.org/W7096020512","https://openalex.org/W2949341344","https://openalex.org/W1975176154","https://openalex.org/W2093094090","https://openalex.org/W2134089624"],"abstract_inverted_index":{"Solutions":[0],"to":[1,55,67,73,159],"both":[2],"the":[3,6,16,27,43,48,56,62,75,82,85,91,112,120,123,130,138,147,160,180],"diffeomorphism":[4,28,139,181],"and":[5,89,100,140],"hamiltonian":[7,57,141],"constraint":[8,29,142],"of":[9,47,71,77,84,87,93,115,122,125,132,146,162,174],"quantum":[10,78,98,167],"gravity":[11,79,99],"have":[12],"been":[13],"found":[14],"in":[15,111,169],"loop":[17,35,164],"representation,":[18],"which":[19,37,134,170],"is":[20,30,119,129,183],"based":[21],"on":[22],"Ashtekar\u2019s":[23],"new":[24],"variables.":[25],"While":[26],"easily":[31],"solved":[32],"by":[33,137],"considering":[34],"functionals":[36,173],"are":[38,52,135,172],"knot":[39,50,101],"invariants,":[40],"there":[41],"remains":[42],"puzzle":[44],"why":[45],"several":[46],"known":[49],"invariants":[51],"also":[53],"solutions":[54,72,88],"constraint.":[58],"We":[59],"show":[60],"how":[61],"Jones":[63],"polynomial":[64],"gives":[65],"rise":[66],"an":[68],"infinite":[69],"set":[70],"all":[74],"constraints":[76],"thereby":[80],"illuminating":[81],"structure":[83],"space":[86,124,131],"suggesting":[90],"existance":[92],"a":[94,104,163],"deep":[95],"connection":[96],"between":[97],"theory":[102],"at":[103],"dynamical":[105],"level.":[106],"1":[107],"An":[108],"important":[109],"step":[110],"canonical":[113,151],"quantization":[114],"4-dimensional":[116],"general":[117,154],"relativity":[118,155],"construction":[121,161],"physical":[126],"states,":[127],"that":[128],"wavefunctions":[133,171],"annihilated":[136],"operators.":[143],"The":[144],"discovery":[145],"Ashtekar":[148],"variables":[149],"for":[150,166],"3+1":[152],"dimensional":[153],"[1]":[156],"has":[157],"led":[158],"representation":[165],"gravity,":[168],"loops":[175],"[2].":[176],"In":[177],"this":[178],"context":[179],"invariance":[182],"quite":[184],"elegantly":[185],"described":[186]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-27T00:00:00"}
