{"id":"https://openalex.org/W2020674594","doi":"https://doi.org/10.4236/jqis.2011.12007","title":"Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry","display_name":"Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2020674594","doi":"https://doi.org/10.4236/jqis.2011.12007","mag":"2020674594"},"language":"en","primary_location":{"id":"doi:10.4236/jqis.2011.12007","is_oa":true,"landing_page_url":"https://doi.org/10.4236/jqis.2011.12007","pdf_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=7623","source":{"id":"https://openalex.org/S4210229801","display_name":"Journal of Quantum Information Science","issn_l":"2162-5751","issn":["2162-5751","2162-576X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Quantum Information Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=7623","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111857036","display_name":"\u039c.S. El Naschie","orcid":null},"institutions":[{"id":"https://openalex.org/I84524832","display_name":"Alexandria University","ror":"https://ror.org/00mzz1w90","country_code":"EG","type":"education","lineage":["https://openalex.org/I84524832"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Mohamed S. El Naschie","raw_affiliation_strings":["Department of Physics, University of Alexandria, Alexandria, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Alexandria, Alexandria, Egypt","institution_ids":["https://openalex.org/I84524832"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111857036"],"corresponding_institution_ids":["https://openalex.org/I84524832"],"apc_list":null,"apc_paid":null,"fwci":9.0974,"has_fulltext":true,"cited_by_count":66,"citation_normalized_percentile":{"value":0.98465253,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"01","issue":"02","first_page":"50","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9998999834060669,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9998999834060669,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9800999760627747,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13044","display_name":"Biofield Effects and Biophysics","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/2737","display_name":"Physiology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.7470425367355347},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.6969351172447205},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.5235568881034851},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.48180097341537476},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.44799724221229553},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.43244698643684387},{"id":"https://openalex.org/keywords/meaning","display_name":"Meaning (existential)","score":0.4100942015647888},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.351105272769928},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.33136290311813354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3070245385169983},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2899411618709564},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.2847900390625},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.2379235029220581}],"concepts":[{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.7470425367355347},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6969351172447205},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5235568881034851},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.48180097341537476},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44799724221229553},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.43244698643684387},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.4100942015647888},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.351105272769928},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33136290311813354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3070245385169983},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2899411618709564},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2847900390625},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.2379235029220581},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4236/jqis.2011.12007","is_oa":true,"landing_page_url":"https://doi.org/10.4236/jqis.2011.12007","pdf_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=7623","source":{"id":"https://openalex.org/S4210229801","display_name":"Journal of Quantum Information Science","issn_l":"2162-5751","issn":["2162-5751","2162-576X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Quantum Information Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4236/jqis.2011.12007","is_oa":true,"landing_page_url":"https://doi.org/10.4236/jqis.2011.12007","pdf_url":"http://www.scirp.org/journal/PaperDownload.aspx?paperID=7623","source":{"id":"https://openalex.org/S4210229801","display_name":"Journal of Quantum Information Science","issn_l":"2162-5751","issn":["2162-5751","2162-576X"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320480","host_organization_name":"Scientific Research Publishing","host_organization_lineage":["https://openalex.org/P4310320480"],"host_organization_lineage_names":["Scientific Research Publishing"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Quantum Information Science","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2020674594.pdf","grobid_xml":"https://content.openalex.org/works/W2020674594.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2093708734","https://openalex.org/W2108625605","https://openalex.org/W2123904937","https://openalex.org/W2187202618","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1964921276","https://openalex.org/W2741523612","https://openalex.org/W2946365274","https://openalex.org/W3104551701","https://openalex.org/W2258058860","https://openalex.org/W2101135880","https://openalex.org/W2102682197","https://openalex.org/W2199349817","https://openalex.org/W2369133448","https://openalex.org/W2092555887"],"abstract_inverted_index":{"Building":[0],"upon":[1],"the":[2,22,42,46,74,97,106,110,115,142,145,156,164],"pioneering":[3],"work":[4,84],"of":[5,24,27,33,48,90,105,109,117,125,159],"J.":[6],"Bell":[7],"[1]":[8],"and":[9,135,153,166],"an":[10],"incredible":[11],"result":[12,63,93],"due":[13],"to":[14,39,45,95,171],"L.":[15],"Hardy":[16],"[2]":[17],"it":[18,53],"was":[19,64],"shown":[20],"that":[21,102],"probability":[23,138],"quantum":[25,121],"entanglement":[26],"two":[28,78,86],"particles":[29],"is":[30,123,132,150],"a":[31,59,69,137,160],"maximum":[32],"9.0169945":[34],"percent":[35],"[2].":[36],"This":[37],"happens":[38],"be":[40],"exactly":[41],"golden":[43],"mean":[44],"power":[47],"five":[49],"(?5)":[50],"[3-7].":[51,178],"Although":[52],"has":[54],"gone":[55],"largely":[56],"unnoticed":[57],"for":[58],"long":[60],"time,":[61],"this":[62],"essentially":[65],"established":[66],"independently":[67],"in":[68,120],"much":[70],"wider":[71],"context":[72],"by":[73,103,163],"present":[75,83],"author":[76,165],"almost":[77],"decades":[79],"ago":[80],"[3-6].":[81],"The":[82,129,147],"gives":[85],"fundamentally":[87],"different":[88],"derivations":[89],"Hardy\u2019s":[91],"beautiful":[92],"leading":[94],"precisely":[96],"same":[98],"general":[99],"conclusion,":[100],"namely":[101],"virtue":[104],"zero":[107],"measure":[108],"underlying":[111],"Cantorian-fractal":[112],"spacetime":[113,176],"geometry":[114],"notion":[116],"spatial":[118],"separability":[119],"physics":[122],"devoid":[124],"any":[126],"meaning":[127],"[7].":[128],"first":[130],"derivation":[131,149],"purely":[133,151],"logical":[134],"uses":[136],"theory":[139,161,177],"which":[140],"combines":[141],"discrete":[143],"with":[144],"continuum.":[146],"second":[148],"geometrical":[152],"topological":[154],"using":[155],"fundamental":[157],"equations":[158],"developed":[162],"his":[167],"collaborators":[168],"frequently":[169],"referred":[170],"as":[172],"E-infinity":[173],"or":[174],"Cantorian":[175]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":20},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}