{"id":"https://openalex.org/W7225733809","doi":"https://doi.org/10.5281/zenodo.24118330","title":"Differentiation, Geometry, and Information in the Structure of Reality","display_name":"Differentiation, Geometry, and Information in the Structure of Reality","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225733809","doi":"https://doi.org/10.5281/zenodo.24118330"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24118330","doi":"https://doi.org/10.5281/zenodo.24118330","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24118330","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.24118330","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160282570","display_name":"Giuseppe Salmoiraghi","orcid":"https://orcid.org/0009-0004-1476-8405","observed_orcids":["https://orcid.org/0009-0004-1476-8405"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Salmoiraghi, Giuseppe","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0004-1476-8405","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160282570"],"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/T14299","display_name":"Complex Systems and Dynamics","score":0.6898999810218811,"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/T14299","display_name":"Complex Systems and Dynamics","score":0.6898999810218811,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.23800000548362732,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T14345","display_name":"Scientific Research and Philosophical Inquiry","score":0.04830000177025795,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.6205000281333923},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.47040000557899475},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.4697999954223633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45879998803138733},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.4131999909877777},{"id":"https://openalex.org/C2779954242","wikidata":"https://www.wikidata.org/wiki/Q6031227","display_name":"Information structure","level":2,"score":0.4113999903202057},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.39750000834465027},{"id":"https://openalex.org/C116834253","wikidata":"https://www.wikidata.org/wiki/Q2039217","display_name":"Identification (biology)","level":2,"score":0.3790000081062317},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.3569999933242798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3093000054359436},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3059000074863434},{"id":"https://openalex.org/C113336015","wikidata":"https://www.wikidata.org/wiki/Q574010","display_name":"Complete information","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C153876917","wikidata":"https://www.wikidata.org/wiki/Q899704","display_name":"Traceability","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C95831776","wikidata":"https://www.wikidata.org/wiki/Q16387","display_name":"Information science","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27900001406669617},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C180198813","wikidata":"https://www.wikidata.org/wiki/Q121182","display_name":"Information system","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.27480000257492065},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.2703000009059906},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.2533000111579895}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24118330","doi":"https://doi.org/10.5281/zenodo.24118330","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24118330","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.24118331","doi":"https://doi.org/10.5281/zenodo.24118331","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24118331","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.24118330","doi":"https://doi.org/10.5281/zenodo.24118330","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24118330","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,28,156,243,265,298,350],"Theory":[1],"of":[2,23,26,34,43,59,63,75,92,145,162,168,181,219,223,233,256,273,287,314],"Ontological":[3],"Differentiation":[4],"(TOD)":[5],"proposes":[6],"an":[7,48,259,305],"ontological":[8,61,247,307,361],"framework":[9,308],"in":[10,82,86,106,138,358,371],"which":[11,39,83,188,359],"differentiation,":[12,311],"relations,":[13,315],"information,":[14,316],"geometry,":[15,317],"and":[16,100,143,147,198,210,231,249,262,280,289,318,338,377],"persistence":[17,319],"constitute":[18],"distinct":[19],"but":[20,78,240],"coordinated":[21],"dimensions":[22,236],"the":[24,32,41,44,56,60,93,96,128,141,149,160,166,178,185,206,220,229,250,254,271,312,344],"organization":[25],"reality.":[27],"starting":[29],"point":[30],"is":[31,67,95,104,125,135,174,205,213,302,352],"postulate":[33],"self-differentiation,":[35],"\u03a9\u2080":[36],"\u2192":[37],"\u0394,":[38],"describes":[40],"emergence":[42],"first":[45],"distinction":[46,97],"from":[47,276],"original":[49],"undifferentiated":[50],"condition.":[51],"Alongside":[52],"this":[53],"foundation":[54],"stands":[55],"independent":[57,76],"axiom":[58],"primacy":[62,313],"relations.":[64],"Differentiated":[65],"reality":[66],"therefore":[68,238],"understood":[69,164],"not":[70,175,241],"merely":[71],"as":[72,79,165,215],"a":[73,80,114,117,121,169,189,216,324,329,355],"collection":[74],"entities,":[77],"structure":[81,190,261],"relations":[84,199],"participate":[85],"constituting":[87],"configurations.":[88],"A":[89],"central":[90,203],"aspect":[91],"proposal":[94],"between":[98,208,258],"difference":[99,115,290],"information.":[101,110,211],"Difference":[102],"(\u0394)":[103],"not,":[105],"itself,":[107],"identical":[108],"to":[109,140,148,177,282,303,323,328,353],"Information":[111,134],"emerges":[112],"when":[113],"leaves":[116],"recognizable":[118,154],"trace":[119],"through":[120,171,187,366],"transformation.":[122,201],"This":[123],"relationship":[124,207],"expressed":[126],"by":[127],"general":[129],"formulation":[130],"I":[131],"=":[132],"T(\u0394).":[133],"thus":[136],"considered":[137],"relation":[139],"traceability":[142],"transformation":[144],"differences,":[146],"possibility":[150],"that":[151,309,341],"they":[152],"produce":[153],"effects.":[155],"article":[157,244],"further":[158,347],"develops":[159],"principle":[161],"persistence,":[163],"continuity":[167],"configuration":[170],"change.":[172],"Persistence":[173],"reduced":[176],"mere":[179],"preservation":[180,230],"information:":[182],"it":[183],"concerns":[184,228],"criteria":[186],"can":[191,363],"maintain":[192],"its":[193,196,263],"identity":[194],"while":[195,291],"elements":[197],"undergo":[200],"Another":[202],"topic":[204],"geometry":[209,284],"Geometry":[212],"examined":[214],"possible":[217],"manifestation":[218],"organizational":[221],"properties":[222,376],"relational":[224],"structure,":[225],"whereas":[226],"information":[227,257,268],"transmission":[232],"differences.":[234],"These":[235],"are":[237],"connected,":[239],"interchangeable.":[242],"also":[245,334],"addresses":[246],"entropy":[248],"TOD":[251],"hypothesis":[252],"concerning":[253],"distribution":[255],"overall":[260],"substructures.":[264],"comparison":[266],"with":[267,374],"theory,":[269],"thermodynamics,":[270],"study":[272],"systems":[274],"far":[275],"equilibrium,":[277],"self-organization":[278],"processes,":[279],"approaches":[281],"emergent":[283],"identifies":[285],"areas":[286],"convergence":[288],"keeping":[292],"their":[293],"respective":[294],"descriptive":[295],"levels":[296],"distinct.":[297],"article's":[299],"specific":[300],"contribution":[301],"propose":[304],"autonomous":[306],"coordinates":[310],"without":[320],"reducing":[321],"them":[322],"single":[325],"quantity":[326],"or":[327],"linear":[330],"causal":[331],"sequence.":[332],"It":[333],"examines":[335],"operators,":[336],"invariants,":[337],"validity":[339],"conditions":[340],"may":[342],"provide":[343],"basis":[345],"for":[346],"mathematical":[348],"development.":[349],"aim":[351],"outline":[354],"formalization":[356],"program":[357],"TOD's":[360],"categories":[362],"be":[364],"specified":[365],"mathematically":[367],"assessable":[368],"structures":[369],"and,":[370],"perspective,":[372],"compared":[373],"physical":[375],"systems.":[378]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}