{"id":"https://openalex.org/W7225402190","doi":"https://doi.org/10.5281/zenodo.23998885","title":"Two Spin Papers, One Density: Ising's Two-Valued Spin and the Aldred Limit's Spin-Density Bound, Priced Jointly","display_name":"Two Spin Papers, One Density: Ising's Two-Valued Spin and the Aldred Limit's Spin-Density Bound, Priced Jointly","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225402190","doi":"https://doi.org/10.5281/zenodo.23998885"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23998885","doi":"https://doi.org/10.5281/zenodo.23998885","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23998885","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23998885","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159396451","display_name":"William Alexander Aldred","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Aldred, William Alexander","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0000-1215-577X","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5159396451"],"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.5195000171661377,"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"}},"topics":[{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.5195000171661377,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.13169999420642853,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.0544000007212162,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/ising-model","display_name":"Ising model","score":0.9769999980926514},{"id":"https://openalex.org/keywords/spin-density","display_name":"spin density","score":0.7400000095367432},{"id":"https://openalex.org/keywords/einstein-cartan-theory","display_name":"Einstein-Cartan theory","score":0.7919999957084656},{"id":"https://openalex.org/keywords/neutron-matter","display_name":"neutron matter","score":0.8389999866485596},{"id":"https://openalex.org/keywords/critical-temperature","display_name":"critical temperature","score":0.718999981880188},{"id":"https://openalex.org/keywords/correlation-length","display_name":"correlation length","score":0.6460000276565552},{"id":"https://openalex.org/keywords/mean-field-approximation","display_name":"mean-field approximation","score":0.5720000267028809},{"id":"https://openalex.org/keywords/spin-statistics-theorem","display_name":"spin-statistics theorem","score":0.39399999380111694},{"id":"https://openalex.org/keywords/lattice-spin-systems","display_name":"lattice spin systems","score":0.39500001072883606}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6891000270843506},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.5813000202178955},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.5558000206947327},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.5444999933242798},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.5006999969482422},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.43230000138282776},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4165000021457672},{"id":"https://openalex.org/C152568617","wikidata":"https://www.wikidata.org/wiki/Q2348","display_name":"Neutron","level":2,"score":0.40689998865127563},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.38609999418258667},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.3452000021934509},{"id":"https://openalex.org/C130277099","wikidata":"https://www.wikidata.org/wiki/Q3676605","display_name":"Figure of merit","level":2,"score":0.33970001339912415},{"id":"https://openalex.org/C155355069","wikidata":"https://www.wikidata.org/wiki/Q575224","display_name":"Antiferromagnetism","level":2,"score":0.3312000036239624},{"id":"https://openalex.org/C3018272316","wikidata":"https://www.wikidata.org/wiki/Q905186","display_name":"Spin density","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3100000023841858},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.29580000042915344},{"id":"https://openalex.org/C53964469","wikidata":"https://www.wikidata.org/wiki/Q230895","display_name":"Density of states","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.26489999890327454}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.23998885","doi":"https://doi.org/10.5281/zenodo.23998885","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23998885","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23998886","doi":"https://doi.org/10.5281/zenodo.23998886","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23998886","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24029838","doi":"https://doi.org/10.5281/zenodo.24029838","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24029838","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23998885","doi":"https://doi.org/10.5281/zenodo.23998885","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23998885","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"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/W7225183678","https://openalex.org/W2035609594","https://openalex.org/W2041794447","https://openalex.org/W2079461904","https://openalex.org/W6943281622","https://openalex.org/W7225381552","https://openalex.org/W2079377389","https://openalex.org/W7225380546","https://openalex.org/W2076029400","https://openalex.org/W2962790117"],"abstract_inverted_index":{"My":[0,74],"corpus":[1],"contains":[2],"exactly":[3,304],"two":[4,174,374],"papers":[5,176],"whose":[6],"load-bearing":[7],"object":[8],"is":[9,134,207,213,227,290,306,333],"a":[10,24,36,44,79,82,104,135,147,155,187,240,291,294,307,402,406],"spin,":[11,201,310],"and":[12,67,119,180,216,275,283,311,347,376,404],"they":[13,185],"have":[14],"never":[15],"been":[16],"read":[17,358,364],"together.":[18],"CC-129":[19,255],"evaluated":[20],"the":[21,57,86,93,112,120,132,139,167,173,182,196,202,210,217,220,224,245,252,257,268,276,296,300,312,319,330,337,344,348,352,366,369,380],"Ising":[22,249,301,353],"model:":[23],"magnet":[25],"replaced,":[26],"by":[27],"postulation,":[28],"with":[29,235,264],"two-valued":[30,190,200,338],"variables":[31],"\u03c3":[32],"=":[33,97,108,262,266],"\u00b11":[34],"on":[35],"lattice,":[37],"interacting":[38],"only":[39],"as":[40,323],"nearest":[41],"neighbours":[42],"through":[43],"single":[45,105,241],"coupling":[46,66],"J":[47],"that":[48,299],"no":[49],"step":[50],"in":[51,85],"1920":[52],"or":[53],"1925":[54],"sets":[55],"from":[56,373],"material":[58],"\u2014":[59,131,229,234,335,398],"1":[60,64],"postulated":[61],"Hamiltonian,":[62],"carrying":[63],"fitted":[65],"2":[68],"deletion":[69],"classes,":[70],"against":[71,177],"0":[72],"derivations.":[73],"Aldred":[75,313],"Limit":[76],"paper":[77,122,171,378],"pinned":[78,168],"bound":[80,133,197,349],"of":[81,90,149,157,164,189,219,232,251,271,327,408],"different":[83],"kind:":[84],"dust":[87],"spin-fluid":[88],"reading":[89],"Einstein\u2013Cartan":[91],"gravity,":[92],"effective":[94],"density":[95,156,188,204,222,226,332],"\u03c1_eff":[96],"\u03c1(1":[98],"\u2212":[99],"\u03c1/\u03c1_A)":[100],"crosses":[101],"zero":[102],"at":[103,111,128,146,154,195,205,244,343,390],"density,":[106],"\u03c1_A":[107,206],"9.7\u00d710\u2075\u2074":[109],"g/cm\u00b3":[110],"incoherent":[113],"coefficient":[114],"1/8":[115],"for":[116,385],"neutron":[117,151,194],"matter,":[118],"same":[121,370],"printed":[123,389],"its":[124,361],"own":[125,315,362],"domain":[126,316],"limit":[127,317],"full":[129,391],"size":[130],"formal":[136],"extrapolation,":[137],"since":[138],"carriers'":[140],"wave":[141],"packets":[142],"begin":[143],"to":[144,223],"overlap":[145],"spacing":[148,212],"one":[150,183,199],"Compton":[152,242],"wavelength,":[153],"about":[158],"1.8\u00d710\u00b9\u2077":[159],"g/cm\u00b3,":[160],"some":[161],"38":[162],"orders":[163,231,326],"magnitude":[165,233,328],"below":[166],"value.":[169],"This":[170],"reads":[172],"spin":[175,203,298,339],"each":[178,193],"other":[179],"evaluates":[181,379],"quantity":[184],"share:":[186],"spins.":[191],"If":[192],"carries":[198],"5.791295e+84":[208],"m\u207b\u00b3,":[209],"interparticle":[211],"5.568541e-29":[214],"m,":[215],"ratio":[218],"bound's":[221,246,331,345],"domain-expiry":[225],"5.388889e+37":[228],"37.731499":[230,325],"5.363319e+37":[236],"lattice":[237,285],"sites":[238],"inside":[239],"cube":[243],"density.":[247],"The":[248,287,411],"side":[250],"bench":[253],"reproduces":[254],"exactly:":[256],"two-dimensional":[258],"critical":[259],"temperature":[260],"t_c":[261],"2.269185":[263],"sinh(2/t_c)":[265],"1.000000,":[267],"mean-field":[269],"overstatement":[270],"76.274717":[272],"per":[273],"cent,":[274],"one-dimensional":[277],"correlation":[278],"lengths":[279],"27.296022,":[280],"3.671861,":[281],"1.295443":[282],"0.710818":[284],"spacings.":[286],"joint":[288,387],"finding":[289],"fence,":[292],"not":[293,401,405],"bridge:":[295],"discrete":[297],"postulation":[302],"makes":[303],"soluble":[305],"semiclassical":[308],"carrier's":[309],"paper's":[314],"says":[318],"carriers":[320],"stop":[321],"existing":[322],"particles":[324],"before":[329],"reached":[334],"so":[336],"cannot":[340,350],"be":[341],"used":[342],"address,":[346],"borrow":[351],"model's":[354],"exactness.":[355],"Each":[356],"paper,":[357],"alone,":[359],"prints":[360],"fence;":[363],"together,":[365],"fences":[367],"are":[368],"fence":[371],"seen":[372],"sides,":[375],"this":[377,386],"distance":[381],"between":[382],"them.":[383],"Grade":[384],"entry,":[388],"size:":[392],"REASON":[393],"FOUND":[394],"/":[395,420],"STILL":[396],"TURNING":[397],"PREMISE-ONLY,":[399],"explicitly":[400],"kill":[403],"falsification":[407],"either":[409],"parent.":[410],"program":[412],"headline":[413],"stands":[414],"unmoved:":[415],"vacuum":[416],"catastrophe":[417],"NOT":[418],"SOLVED":[419],"PARTIAL,":[421],"producing-count":[422],"0.":[423]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-07T00:00:00"}