{"id":"https://openalex.org/W7225255157","doi":"https://doi.org/10.5281/zenodo.23955309","title":"The Projection-Identity Coupled Recursive Functional Dynamics Theory (PICRFD)","display_name":"The Projection-Identity Coupled Recursive Functional Dynamics Theory (PICRFD)","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225255157","doi":"https://doi.org/10.5281/zenodo.23955309"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23955309","doi":"https://doi.org/10.5281/zenodo.23955309","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23955309","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","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.23955309","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152320903","display_name":"Shamiul Hoque Shan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shan, Shamiul Hoque","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5152320903"],"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/T10959","display_name":"Student Assessment and Feedback","score":0.1429000049829483,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10959","display_name":"Student Assessment and Feedback","score":0.1429000049829483,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10467","display_name":"Psychometric Methodologies and Testing","score":0.11999999731779099,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10547","display_name":"Education, Achievement, and Giftedness","score":0.10170000046491623,"subfield":{"id":"https://openalex.org/subfields/3204","display_name":"Developmental and Educational Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/recursive-feedback","display_name":"recursive feedback","score":0.6600000262260437},{"id":"https://openalex.org/keywords/functional-dynamics","display_name":"functional dynamics","score":0.652999997138977},{"id":"https://openalex.org/keywords/performance-expectations","display_name":"performance expectations","score":0.5450000166893005},{"id":"https://openalex.org/keywords/identity-attribution","display_name":"identity attribution","score":0.6959999799728394},{"id":"https://openalex.org/keywords/outcome-measurement","display_name":"outcome measurement","score":0.5350000262260437},{"id":"https://openalex.org/keywords/closed-loop-model","display_name":"closed-loop model","score":0.6499999761581421},{"id":"https://openalex.org/keywords/high-achieving-students","display_name":"high-achieving students","score":0.6150000095367432},{"id":"https://openalex.org/keywords/academic-decline","display_name":"academic decline","score":0.5070000290870667},{"id":"https://openalex.org/keywords/state-transitions","display_name":"state transitions","score":0.367000013589859},{"id":"https://openalex.org/keywords/construct-validation","display_name":"construct validation","score":0.40299999713897705}],"concepts":[{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.7347000241279602},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5724999904632568},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5501999855041504},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5339999794960022},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.4925999939441681},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4684000015258789},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.45840001106262207},{"id":"https://openalex.org/C26320393","wikidata":"https://www.wikidata.org/wiki/Q597053","display_name":"Functional dependency","level":3,"score":0.4124999940395355},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.3840000033378601},{"id":"https://openalex.org/C71176878","wikidata":"https://www.wikidata.org/wiki/Q17014987","display_name":"Functional principal component analysis","level":3,"score":0.34860000014305115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34610000252723694},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.34599998593330383},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.34049999713897705},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3343999981880188},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3327000141143799},{"id":"https://openalex.org/C2777131603","wikidata":"https://www.wikidata.org/wiki/Q5508796","display_name":"Functional approach","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.3260999917984009},{"id":"https://openalex.org/C28901747","wikidata":"https://www.wikidata.org/wiki/Q177571","display_name":"Decision theory","level":2,"score":0.3228999972343445},{"id":"https://openalex.org/C2993125243","wikidata":"https://www.wikidata.org/wiki/Q1474048","display_name":"Functional theory","level":3,"score":0.31439998745918274},{"id":"https://openalex.org/C153576954","wikidata":"https://www.wikidata.org/wiki/Q594452","display_name":"Functional equation","level":3,"score":0.31299999356269836},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.31189998984336853},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.31130000948905945},{"id":"https://openalex.org/C182752723","wikidata":"https://www.wikidata.org/wiki/Q1474590","display_name":"Functional imaging","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.290800005197525},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.28679999709129333},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.28630000352859497},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28060001134872437},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.274399995803833},{"id":"https://openalex.org/C2776502983","wikidata":"https://www.wikidata.org/wiki/Q690182","display_name":"Contrast (vision)","level":2,"score":0.2694000005722046},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.26600000262260437},{"id":"https://openalex.org/C180747234","wikidata":"https://www.wikidata.org/wiki/Q23373","display_name":"Cognitive psychology","level":1,"score":0.2632000148296356},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.26179999113082886},{"id":"https://openalex.org/C51820054","wikidata":"https://www.wikidata.org/wiki/Q5508814","display_name":"Functional data analysis","level":2,"score":0.25459998846054077},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.25380000472068787},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23955309","doi":"https://doi.org/10.5281/zenodo.23955309","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23955309","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23955310","doi":"https://doi.org/10.5281/zenodo.23955310","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23955310","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23955309","doi":"https://doi.org/10.5281/zenodo.23955309","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23955309","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","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":["https://openalex.org/W7223400115","https://openalex.org/W7221649560","https://openalex.org/W7221640131","https://openalex.org/W2025539501","https://openalex.org/W1980280691","https://openalex.org/W7223197165","https://openalex.org/W3019291153","https://openalex.org/W7225251055","https://openalex.org/W639973247","https://openalex.org/W7171004683"],"abstract_inverted_index":{"The":[0,55,160],"Projection-Identity":[1],"Coupled":[2],"Recursive":[3],"Functional":[4],"Dynamics":[5],"Theory":[6],"(PICRFD)":[7],"is":[8,232,263],"proposed":[9],"as":[10,234,244,265],"a":[11,58,75,103,107,120,132,148,154,194,198,205,215,235,266],"general":[12],"process":[13],"framework":[14,56,192],"for":[15,218,286],"examining":[16],"how":[17,26,38],"functional":[18,53,66,81,98,177],"history":[19],"can":[20,29,117,183],"generate":[21],"projections":[22,28],"about":[23],"subsequent":[24,176],"performance,":[25],"those":[27],"become":[30,185],"coupled":[31],"to":[32,51],"an":[33,115,125,143],"externally":[34,144],"attributed":[35],"identity,":[36],"and":[37,49,60,68,97,151,168,179,214,228,252,282,290],"the":[39,44,72,157,165,174,180,186,245],"resulting":[40,161],"coupling":[41],"may":[42,163,172],"influence":[43],"evaluation,":[45],"validation,":[46,94,220],"acceptance,":[47],"rejection,":[48],"response":[50],"later":[52],"outcomes.":[54],"extends":[57],"projection-identity":[59],"projection-outcome":[61],"divergence":[62],"architecture":[63],"by":[64],"placing":[65],"execution":[67],"recursive":[69],"feedback":[70],"at":[71],"center":[73],"of":[74,147,188],"dynamic,":[76],"closed-loop":[77],"model.The":[78],"theory":[79],"distinguishes":[80,102],"processing":[82],"from":[83,106],"outcome":[84,116],"realization,":[85],"projection":[86,121],"comparison,":[87],"evaluative":[88],"judgment,":[89],"causal":[90,274],"attribution,":[91],"justification,":[92],"evidential":[93],"acceptance":[95],"decisions,":[96],"response.":[99],"It":[100],"further":[101],"projection-relative":[104],"deviation":[105],"criterion-relative":[108],"deviation.":[109],"These":[110],"distinctions":[111],"are":[112,255],"necessary":[113],"because":[114],"fall":[118],"below":[119,156],"while":[122],"still":[123],"meeting":[124],"independently":[126],"defined":[127],"criterion.The":[128],"primary":[129],"case":[130],"concerns":[131],"student":[133],"who":[134],"repeatedly":[135],"earns":[136,153],"high":[137,149],"examination":[138],"scores,":[139],"becomes":[140],"associated":[141],"with":[142,238],"projected":[145],"identity":[146],"achiever,":[150],"subsequently":[152],"score":[155],"expected":[158],"level.":[159],"discrepancy":[162],"alter":[164],"observers'":[166],"judgments":[167],"responses.":[169],"Those":[170],"responses":[171],"modify":[173],"student's":[175],"conditions,":[178],"next":[181],"performance":[182],"then":[184],"object":[187],"another":[189],"evaluation":[190,222],"cycle.The":[191],"specifies":[193],"17-stage":[195],"default":[196],"mechanism,":[197],"12-layer":[199],"theoretical":[200,268],"architecture,":[201],"nine":[202],"analytical":[203],"domains,":[204],"variable":[206],"dictionary,":[207],"state-transition":[208],"equations,":[209],"ten":[210],"provisional":[211],"research":[212,216],"hypotheses,":[213],"program":[217],"construct":[219],"controlled":[221],"studies,":[223],"longitudinal":[224],"analysis,":[225],"model":[226],"identification,":[227],"independent":[229],"replication.":[230],"Time":[231],"treated":[233],"cycle":[236],"index":[237],"optional":[239],"real-time":[240],"measurements,":[241],"rather":[242,259],"than":[243,260],"framework's":[246],"sole":[247],"foundational":[248],"medium.":[249],"Measurement":[250],"metrics":[251],"communication":[253],"media":[254],"likewise":[256],"application-specific":[257],"parameters":[258],"universal":[261],"prerequisites.PICRFD":[262],"presented":[264],"researchable":[267],"proposal.":[269],"Its":[270],"distinctive":[271],"explanatory":[272],"value,":[273],"pathways,":[275],"parameter":[276],"values,":[277],"dynamic":[278],"stability,":[279],"domain":[280],"generalizability,":[281],"originality":[283],"remain":[284],"questions":[285],"systematic":[287],"literature":[288],"review":[289],"empirical":[291],"investigation.":[292]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-11-05T00:00:00"}
