{"id":"https://openalex.org/W7220719346","doi":"https://doi.org/10.48550/arxiv.2610.04729","title":"Majorana bilinears, compact modular seeds and the approach to the Tsirelson bound","display_name":"Majorana bilinears, compact modular seeds and the approach to the Tsirelson bound","publication_year":2026,"publication_date":"2026-10-03","ids":{"openalex":"https://openalex.org/W7220719346","doi":"https://doi.org/10.48550/arxiv.2610.04729"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.04729","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04729","pdf_url":"https://arxiv.org/pdf/2610.04729","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.04729","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157679178","display_name":"M. S. Guimaraes","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Guimaraes, M. S.","raw_affiliation_strings":["UERJ -Universidade do Estado do Rio de Janeiro , Instituto de F\u00edsica -Departamento de F\u00edsica Te\u00f3rica , Rua S\u00e3o Francisco Xavier 524 , 20550-013 , Maracan\u00e3 , Rio de Janeiro , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UERJ -Universidade do Estado do Rio de Janeiro , Instituto de F\u00edsica -Departamento de F\u00edsica Te\u00f3rica , Rua S\u00e3o Francisco Xavier 524 , 20550-013 , Maracan\u00e3 , Rio de Janeiro , Brazil","institution_ids":["https://openalex.org/I40034438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001695910","display_name":"I. Roditi","orcid":"https://orcid.org/0000-0003-2363-5626","observed_orcids":["https://orcid.org/0000-0003-2363-5626"]},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210125245","display_name":"Centro Brasileiro de Pesquisas F\u00edsicas","ror":"https://ror.org/02wnmk332","country_code":"BR","type":"facility","lineage":["https://openalex.org/I4210125245","https://openalex.org/I4210151455"]},{"id":"https://openalex.org/I4405254722","display_name":"Institute for Theoretical Physics","ror":"https://ror.org/025en1p25","country_code":"CH","type":"facility","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4405254722"]}],"countries":["BR","CH"],"is_corresponding":false,"raw_author_name":"Roditi, I.","raw_affiliation_strings":["CBPF -Centro Brasileiro de Pesquisas F\u00edsicas , Rua Dr. Xavier Sigaud 150 , 22290-180 , Rio de Janeiro , Brazil","Institute for Theoretical Physics , ETH Z\u00fcrich , 8093 Z\u00fcrich , Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CBPF -Centro Brasileiro de Pesquisas F\u00edsicas , Rua Dr. Xavier Sigaud 150 , 22290-180 , Rio de Janeiro , Brazil","institution_ids":["https://openalex.org/I4210125245"]},{"raw_affiliation_string":"Institute for Theoretical Physics , ETH Z\u00fcrich , 8093 Z\u00fcrich , Switzerland","institution_ids":["https://openalex.org/I35440088","https://openalex.org/I4405254722"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035082428","display_name":"S. P. Sorella","orcid":"https://orcid.org/0000-0002-6051-6960","observed_orcids":["https://orcid.org/0000-0002-6051-6960"]},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Sorella, S. P.","raw_affiliation_strings":["UERJ -Universidade do Estado do Rio de Janeiro , Instituto de F\u00edsica -Departamento de F\u00edsica Te\u00f3rica , Rua S\u00e3o Francisco Xavier 524 , 20550-013 , Maracan\u00e3 , Rio de Janeiro , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UERJ -Universidade do Estado do Rio de Janeiro , Instituto de F\u00edsica -Departamento de F\u00edsica Te\u00f3rica , Rua S\u00e3o Francisco Xavier 524 , 20550-013 , Maracan\u00e3 , Rio de Janeiro , Brazil","institution_ids":["https://openalex.org/I40034438"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.7211999893188477,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.7211999893188477,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.10180000215768814,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10025","display_name":"Black Holes and Theoretical Physics","score":0.027400000020861626,"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/bell-chsh-inequality","display_name":"Bell-CHSH inequality","score":0.8289999961853027},{"id":"https://openalex.org/keywords/tsirelson-bound","display_name":"Tsirelson bound","score":0.9769999980926514},{"id":"https://openalex.org/keywords/1-1-dimensions","display_name":"1+1 dimensions","score":0.8190000057220459},{"id":"https://openalex.org/keywords/rindler-wedge","display_name":"Rindler wedge","score":0.6980000138282776},{"id":"https://openalex.org/keywords/modular-operator","display_name":"modular operator","score":0.492000013589859},{"id":"https://openalex.org/keywords/dichotomic-observables","display_name":"dichotomic observables","score":0.8399999737739563},{"id":"https://openalex.org/keywords/pauli-algebra","display_name":"Pauli algebra","score":0.7450000047683716},{"id":"https://openalex.org/keywords/correlation-matrix","display_name":"correlation matrix","score":0.8289999961853027},{"id":"https://openalex.org/keywords/quantum-nonlocality","display_name":"quantum nonlocality","score":0.628000020980835}],"concepts":[{"id":"https://openalex.org/C2778761060","wikidata":"https://www.wikidata.org/wiki/Q6714234","display_name":"MAJORANA","level":3,"score":0.8026999831199646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5999000072479248},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.5494999885559082},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4526999890804291},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.421999990940094},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.38830000162124634},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.374099999666214},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3725999891757965},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.33730000257492065},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.33250001072883606},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.3319000005722046},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C187399659","wikidata":"https://www.wikidata.org/wiki/Q5500226","display_name":"Free field","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3003000020980835},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2930999994277954},{"id":"https://openalex.org/C180347388","wikidata":"https://www.wikidata.org/wiki/Q336233","display_name":"Pauli matrices","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C191413488","wikidata":"https://www.wikidata.org/wiki/Q1892554","display_name":"Operator algebra","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2736000120639801},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C138622882","wikidata":"https://www.wikidata.org/wiki/Q7269079","display_name":"Quantum nonlocality","level":4,"score":0.26100000739097595},{"id":"https://openalex.org/C128108043","wikidata":"https://www.wikidata.org/wiki/Q388525","display_name":"Bell's theorem","level":4,"score":0.260699987411499},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2540000081062317}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.04729","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04729","pdf_url":"https://arxiv.org/pdf/2610.04729","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.04729","doi":"https://doi.org/10.48550/arxiv.2610.04729","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.04729","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.04729","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04729","pdf_url":"https://arxiv.org/pdf/2610.04729","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G3836668482","display_name":null,"funder_award_id":"309793/2023-8","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5268021672","display_name":null,"funder_award_id":"2024-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7239851934","display_name":null,"funder_award_id":"302991/2024-7","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G7267620529","display_name":null,"funder_award_id":"309793/2023-8","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"}],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220719346.pdf","grobid_xml":"https://content.openalex.org/works/W7220719346.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1557451739","https://openalex.org/W1965494110","https://openalex.org/W2026217849","https://openalex.org/W2042161903","https://openalex.org/W2050628531","https://openalex.org/W2063795454","https://openalex.org/W2077034480","https://openalex.org/W2229949364","https://openalex.org/W4404123941","https://openalex.org/W4415166315","https://openalex.org/W7154968887","https://openalex.org/W7155058843","https://openalex.org/W7160597526","https://openalex.org/W7169663131","https://openalex.org/W7204095034"],"related_works":["https://openalex.org/W7160597526","https://openalex.org/W7167930397","https://openalex.org/W7204243883","https://openalex.org/W7169663131","https://openalex.org/W7204095034","https://openalex.org/W7151919872","https://openalex.org/W7221546499","https://openalex.org/W4399392309","https://openalex.org/W1785943981","https://openalex.org/W2079689927"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3,104,136],"study":[4],"the":[5,9,12,22,26,36,40,52,56,60,65,68,89,93,100,106,113,123,129,139,143,147,154,176,183,197,202,208,213,223,227,232],"Bell-CHSH":[6],"inequality":[7],"in":[8,17,35,39,51,109,132,182,218],"vacuum":[10,144,185],"of":[11,25,31,59,67,118,128,142,189,201,212,226],"free":[13,228],"massive":[14],"Majorana":[15,229],"field":[16,230],"$1+1$":[18],"dimensions,":[19],"taking":[20],"as":[21,164,166],"dichotomic":[23,190],"observables":[24],"two":[27,94,148],"parties":[28,95],"even":[29,224],"bilinears":[30,124],"smeared":[32],"fields":[33],"localized":[34],"right":[37,61],"and":[38,103,135,192],"left":[41,69],"Rindler":[42],"wedges.":[43],"The":[44,150],"test":[45],"functions":[46],"are":[47,115],"generated":[48],"from":[49],"seeds":[50,83,114],"modular-frequency":[53],"variable":[54],"through":[55,71],"Tomita-Takesaki":[57],"operator":[58],"wedge":[62,184],"and,":[63],"on":[64,99],"side":[66],"wedge,":[70,134],"its":[72],"adjoint":[73],"multiplied":[74],"by":[75],"$i$,":[76],"which":[77],"accounts":[78],"for":[79,186],"twisted":[80],"duality.":[81],"For":[82],"supported":[84],"at":[85,207],"positive":[86],"modular":[87,101,198,214],"frequency":[88],"one-particle":[90],"overlaps":[91],"between":[92],"do":[96],"not":[97],"depend":[98],"weights,":[102],"obtain":[105],"Bell":[107,203],"parameter":[108],"closed":[110],"form.":[111],"When":[112],"phase":[116],"rotations":[117],"a":[119,126,219],"single":[120],"compact":[121],"bump,":[122],"generate":[125],"copy":[127],"Pauli":[130],"algebra":[131],"each":[133],"compute":[137],"exactly":[138],"correlation":[140],"matrix":[141],"restricted":[145],"to":[146,158,205],"copies.":[149],"optimal":[151],"settings":[152],"violate":[153],"classical":[155],"bound":[156,178],"up":[157],"spectral":[159,199,209],"widths":[160],"more":[161],"than":[162],"twice":[163],"large":[165],"those":[167],"reached":[168],"with":[169],"planar":[170],"settings.":[171],"We":[172],"also":[173],"show":[174],"that":[175,193],"Tsirelson":[177],"is":[179],"never":[180],"attained":[181],"any":[187],"choice":[188],"observables,":[191],"approaching":[194],"it":[195],"forces":[196],"weight":[200],"vectors":[204],"concentrate":[206],"point":[210],"$\u03bb=1$":[211],"operator.":[215],"This":[216],"establishes":[217],"precise":[220],"way":[221],"how":[222],"sector":[225],"realizes":[231],"Summers-Werner":[233],"mechanism.":[234]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}
