{"id":"https://openalex.org/W7225753069","doi":"https://doi.org/10.6084/m9.figshare.34966456","title":"Bilateral Constitutive Dependence and the Boundary to Confinement in Registration Theory: Exact Constituent Non-Autonomy, Consequence-Minimal Host-Boundary Closure, and Open Frontier-Creation Correspondence","display_name":"Bilateral Constitutive Dependence and the Boundary to Confinement in Registration Theory: Exact Constituent Non-Autonomy, Consequence-Minimal Host-Boundary Closure, and Open Frontier-Creation Correspondence","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225753069","doi":"https://doi.org/10.6084/m9.figshare.34966456"},"language":"en","primary_location":{"id":"doi:10.6084/m9.figshare.34966456","doi":"https://doi.org/10.6084/m9.figshare.34966456","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34966456","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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/10.6084/m9.figshare.34966456","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134660694","display_name":"EUGENE CATRAMBONE","orcid":"https://orcid.org/0009-0009-6889-6847","observed_orcids":["https://orcid.org/0009-0009-6889-6847"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"EUGENE CATRAMBONE","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0009-6889-6847","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5134660694"],"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.3393999934196472,"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":0.3393999934196472,"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/T14299","display_name":"Complex Systems and Dynamics","score":0.13760000467300415,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.1363999992609024,"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"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C75306776","wikidata":"https://www.wikidata.org/wiki/Q7632662","display_name":"Successor cardinal","level":2,"score":0.7445999979972839},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.5673999786376953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5480999946594238},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.4916999936103821},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.41019999980926514},{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3336000144481659},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3292999863624573},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.32280001044273376},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32100000977516174},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.30970001220703125},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2946000099182129},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.28769999742507935},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.26460000872612},{"id":"https://openalex.org/C114410712","wikidata":"https://www.wikidata.org/wiki/Q973321","display_name":"Hypersurface","level":2,"score":0.2540999948978424}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.6084/m9.figshare.34966456","doi":"https://doi.org/10.6084/m9.figshare.34966456","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34966456","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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:10.6084/m9.figshare.34966456.v1","doi":"https://doi.org/10.6084/m9.figshare.34966456.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34966456.v1","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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:10.6084/m9.figshare.34966456.v2","doi":"https://doi.org/10.6084/m9.figshare.34966456.v2","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34966456.v2","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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:10.6084/m9.figshare.34966456.v3","doi":"https://doi.org/10.6084/m9.figshare.34966456.v3","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34966456.v3","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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:10.6084/m9.figshare.34966456","doi":"https://doi.org/10.6084/m9.figshare.34966456","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34966456","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":[],"abstract_inverted_index":{"Registration":[0],"Theory":[1],"(RT)":[2],"takes":[3],"consequential":[4],"bilateral":[5],"registration,":[6],"retained":[7,60,106],"history,":[8],"and":[9,43,58,131,177,203],"continuing":[10],"host-relative":[11],"constitution":[12],"as":[13,183],"the":[14,39,44,84,90,101,104,112,140],"starting":[15],"ontology.":[16],"This":[17],"preprint":[18,117],"tests":[19],"whether":[20],"an":[21,156,161],"internally":[22],"differentiated":[23],"constituent":[24,56,87,102],"in":[25],"canonical":[26],"ACRF-4":[27],"admits":[28],"a":[29,195,204],"consequence-complete":[30],"autonomous":[31,80,157],"successor":[32,42,81],"independent":[33],"of":[34,144],"its":[35,201],"participating":[36],"host.":[37],"Using":[38],"unchanged":[40],"native":[41,152],"previously":[45,124],"established":[46,188],"persistent":[47],"zero-current-boundary-field":[48],"sector,":[49],"it":[50],"constructs":[51],"states":[52],"with":[53,108,123],"identical":[54,59],"intrinsic":[55,86,137],"data":[57],"couplings":[61],"but":[62],"different":[63],"receiving-host":[64],"currents.":[65],"The":[66,116,168,190],"constituent's":[67],"permutation-invariant":[68],"next":[69],"mean":[70],"current":[71],"has":[72],"nonzero":[73],"host-response":[74],"derivative":[75,109],"0.05820440422888...,":[76],"proving":[77],"that":[78],"no":[79],"factors":[82],"through":[83],"standard":[85],"description":[88],"over":[89],"admitted":[91],"encounter":[92],"family.":[93],"Reciprocal":[94],"retained-history":[95],"sensitivity":[96],"is":[97,192],"also":[98],"exact:":[99],"differentiating":[100],"changes":[103],"receiver's":[105],"coupling":[107],"0.02231987331529...,":[110],"despite":[111],"closed":[113],"current-boundary":[114],"field.":[115],"combines":[118],"these":[119],"new":[120],"analytic":[121],"results":[122],"published":[125],"interval-certified":[126],"rank-nine":[127],"joint":[128],"host-consequence":[129],"minimality":[130],"boundary-response":[132],"reconstruction":[133,185],"results,":[134],"carefully":[135],"distinguishing":[136],"non-autonomy":[138],"from":[139],"stronger,":[141],"unproved":[142],"impossibility":[143],"every":[145],"independently":[146],"constituted":[147],"physical":[148,178],"constituent.":[149],"A":[150],"restricted":[151],"closure":[153],"sector":[154],"retains":[155],"reduced":[158],"description,":[159],"providing":[160],"explicit":[162],"limitation":[163],"on":[164],"overbroad":[165],"confinement":[166,180],"claims.":[167],"RT_c":[169],"null-frontier":[170],"connection,":[171],"compulsory":[172],"daughter":[173],"constitution,":[174],"spatial":[175],"creation,":[176],"quark":[179],"are":[181],"formulated":[182],"open":[184],"targets,":[186],"not":[187],"results.":[189],"PDF":[191],"accompanied":[193],"by":[194],"standalone":[196],"Python":[197],"native-successor":[198],"verification":[199],"script,":[200],"output,":[202],"claim-status":[205],"ledger.":[206]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}