{"id":"https://openalex.org/W264938559","doi":"https://doi.org/10.3390/e19080400","title":"Planck-Scale Soccer-Ball Problem: A Case of Mistaken Identity","display_name":"Planck-Scale Soccer-Ball Problem: A Case of Mistaken Identity","publication_year":2017,"publication_date":"2017-08-02","ids":{"openalex":"https://openalex.org/W264938559","doi":"https://doi.org/10.3390/e19080400","mag":"264938559"},"language":"en","primary_location":{"id":"doi:10.3390/e19080400","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19080400","pdf_url":"https://www.mdpi.com/1099-4300/19/8/400/pdf?version=1501672096","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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/19/8/400/pdf?version=1501672096","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013915206","display_name":"Giovanni Amelino-Camelia","orcid":"https://orcid.org/0000-0003-0856-8218"},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"funder","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giovanni Amelino-Camelia","raw_affiliation_strings":["Dipartimento di Fisica, Universit\u00e0 di Roma \u201cLa Sapienza\u201d, P.le A. Moro 2, 00185 Roma, Italy","Istituto Nazionale di Fisica Nucleare (INFN), Sez. Roma1, P.le A. Moro 2, 00185 Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Roma \u201cLa Sapienza\u201d, P.le A. Moro 2, 00185 Roma, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (INFN), Sez. Roma1, P.le A. Moro 2, 00185 Roma, Italy","institution_ids":["https://openalex.org/I160013858"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013915206"],"corresponding_institution_ids":["https://openalex.org/I160013858","https://openalex.org/I861853513"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00031111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"19","issue":"8","first_page":"400","last_page":"400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9998000264167786,"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":0.9998000264167786,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.9951000213623047,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.9904999732971191,"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/quantum-gravity","display_name":"Quantum gravity","score":0.6213055849075317},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6211957931518555},{"id":"https://openalex.org/keywords/spacetime","display_name":"Spacetime","score":0.6072920560836792},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.498180627822876},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.49236881732940674},{"id":"https://openalex.org/keywords/momentum","display_name":"Momentum (technical analysis)","score":0.45965829491615295},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4594365954399109},{"id":"https://openalex.org/keywords/planck-scale","display_name":"Planck scale","score":0.4254639744758606},{"id":"https://openalex.org/keywords/position-and-momentum-space","display_name":"Position and momentum space","score":0.4106399416923523},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.3647928237915039},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18869000673294067},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.07921364903450012},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.06553032994270325}],"concepts":[{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.6213055849075317},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6211957931518555},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.6072920560836792},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.498180627822876},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.49236881732940674},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.45965829491615295},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4594365954399109},{"id":"https://openalex.org/C192638945","wikidata":"https://www.wikidata.org/wiki/Q468999","display_name":"Planck scale","level":4,"score":0.4254639744758606},{"id":"https://openalex.org/C152991086","wikidata":"https://www.wikidata.org/wiki/Q1225362","display_name":"Position and momentum space","level":2,"score":0.4106399416923523},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.3647928237915039},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18869000673294067},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07921364903450012},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.06553032994270325},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e19080400","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19080400","pdf_url":"https://www.mdpi.com/1099-4300/19/8/400/pdf?version=1501672096","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:arXiv.org:1407.7891","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1407.7891","pdf_url":"https://arxiv.org/pdf/1407.7891","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:264938559","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1407.7891.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:524ab8b70c6a437fb6c00d7c231ed3e8","is_oa":true,"landing_page_url":"https://doaj.org/article/524ab8b70c6a437fb6c00d7c231ed3e8","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 19, Iss 8, p 400 (2017)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/19/8/400/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e19080400","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; Volume 19; Issue 8; Pages: 400","raw_type":"Text"},{"id":"doi:10.48550/arxiv.1407.7891","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1407.7891","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e19080400","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e19080400","pdf_url":"https://www.mdpi.com/1099-4300/19/8/400/pdf?version=1501672096","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":[{"id":"https://metadata.un.org/sdg/16","score":0.8299999833106995,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W87127109","https://openalex.org/W1528265879","https://openalex.org/W1571747383","https://openalex.org/W1632564606","https://openalex.org/W1979015992","https://openalex.org/W1979980611","https://openalex.org/W1995726483","https://openalex.org/W1996469834","https://openalex.org/W1996561603","https://openalex.org/W2012417976","https://openalex.org/W2017247248","https://openalex.org/W2031656609","https://openalex.org/W2034997540","https://openalex.org/W2042735175","https://openalex.org/W2046821560","https://openalex.org/W2059068671","https://openalex.org/W2080465764","https://openalex.org/W2086212980","https://openalex.org/W2089199943","https://openalex.org/W2101207970","https://openalex.org/W2109119837","https://openalex.org/W2111138808","https://openalex.org/W2112634992","https://openalex.org/W2225001832","https://openalex.org/W2274498305","https://openalex.org/W4211033233","https://openalex.org/W6786635744"],"related_works":["https://openalex.org/W2962757174","https://openalex.org/W2016895274","https://openalex.org/W2757678477","https://openalex.org/W1526871190","https://openalex.org/W2153558661","https://openalex.org/W2952456455","https://openalex.org/W1820402895","https://openalex.org/W3102225636","https://openalex.org/W2951185084","https://openalex.org/W1524481380","https://openalex.org/W2038620304","https://openalex.org/W1981989998","https://openalex.org/W2002801056","https://openalex.org/W3100597688","https://openalex.org/W2740091181","https://openalex.org/W35234432","https://openalex.org/W3151519116","https://openalex.org/W2092202479","https://openalex.org/W2760293888","https://openalex.org/W2401747550"],"abstract_inverted_index":{"Over":[0],"the":[1,73,97,114,123,129,191],"last":[2],"decade,":[3],"it":[4],"has":[5,46],"been":[6],"found":[7],"that":[8,58,83,89,161],"nonlinear":[9,60,169],"laws":[10,103],"of":[11,13,30,62,64,72,76,105,116,119,125,131,134,142,155,171,173,185,187,194],"composition":[12,104,121,172],"momenta":[14,65,188],"are":[15,86,91],"predicted":[16],"by":[17,27,56],"some":[18],"alternative":[19],"approaches":[20],"to":[21,36,95],"\u201creal\u201d":[22],"4D":[23],"quantum":[24,33,156],"gravity,":[25],"and":[26],"all":[28],"formulations":[29],"dimensionally-reduced":[31],"(3D)":[32],"gravity":[34],"coupled":[35],"matter.":[37],"The":[38],"possible":[39],"relevance":[40],"for":[41,102],"rather":[42,145],"different":[43],"quantum-gravity":[44],"models":[45],"motivated":[47],"several":[48],"studies,":[49],"but":[50,144,175],"this":[51],"interest":[52],"is":[53,138,164],"being":[54],"tempered":[55],"concerns":[57,85],"a":[59,69,77,117,135,140,168,195],"law":[61,118,170,184],"addition":[63,186],"might":[66],"inevitably":[67],"produce":[68],"pathological":[70],"description":[71,124],"total":[74,132,192],"momentum":[75,106,120,133,193],"macroscopic":[78],"body.":[79],"I":[80,158],"here":[81],"show":[82,159],"such":[84],"unjustified,":[87],"finding":[88],"they":[90],"rooted":[92],"in":[93,107,122,167,180],"failure":[94],"appreciate":[96],"differences":[98],"between":[99],"two":[100],"roles":[101],"physics.":[108],"Previous":[109],"results":[110,179],"relied":[111],"exclusively":[112],"on":[113],"role":[115],"spacetime":[126,162],"locality.":[127],"However,":[128],"notion":[130],"multi-particle":[136,196],"system":[137],"not":[139],"manifestation":[141],"locality,":[143],"reflects":[146],"translational":[147,176],"invariance.":[148],"By":[149],"working":[150],"within":[151],"an":[152,181],"illustrative":[153],"example":[154],"spacetime,":[157],"explicitly":[160],"locality":[163],"indeed":[165],"reflected":[166],"momenta,":[174],"invariance":[177],"still":[178],"undeformed":[182],"linear":[183],"building":[189],"up":[190],"system.":[197]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}