{"id":"https://openalex.org/W7225636968","doi":"https://doi.org/10.5281/zenodo.24083858","title":"Prelude to Constraint Theory: Nested Bidirectional Constraint (NBDC) Framework and Multi-Channel Dissipation Competition (v1.6)","display_name":"Prelude to Constraint Theory: Nested Bidirectional Constraint (NBDC) Framework and Multi-Channel Dissipation Competition (v1.6)","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225636968","doi":"https://doi.org/10.5281/zenodo.24083858"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24083858","doi":"https://doi.org/10.5281/zenodo.24083858","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24083858","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.24083858","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160370840","display_name":"Zhaohong Duan","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Duan, Zhaohong","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/A5160370840"],"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":0.9189000129699707,"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":0.9189000129699707,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.025100000202655792,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.020600000396370888,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/constraint-theory","display_name":"constraint theory","score":0.9169999957084656},{"id":"https://openalex.org/keywords/energy-dissipation","display_name":"energy dissipation","score":0.7820000052452087},{"id":"https://openalex.org/keywords/phase-transitions","display_name":"phase transitions","score":0.6679999828338623},{"id":"https://openalex.org/keywords/sound-propagation","display_name":"acoustic wave propagation","score":0.8379999995231628},{"id":"https://openalex.org/keywords/viscous-dissipation","display_name":"viscous dissipation","score":0.9900000095367432},{"id":"https://openalex.org/keywords/critical-temperature","display_name":"critical temperature","score":0.6370000243186951},{"id":"https://openalex.org/keywords/transition-readiness","display_name":"transition readiness","score":0.8339999914169312},{"id":"https://openalex.org/keywords/complex-systems","display_name":"complex systems","score":0.5490000247955322}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.8073999881744385},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.6948999762535095},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6618000268936157},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.550000011920929},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.45190000534057617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4514000117778778},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44119998812675476},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39500001072883606},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3725000023841858},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.3684000074863434},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.35040000081062317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3334999978542328},{"id":"https://openalex.org/C91306197","wikidata":"https://www.wikidata.org/wiki/Q45767","display_name":"Competition (biology)","level":2,"score":0.31290000677108765},{"id":"https://openalex.org/C114834414","wikidata":"https://www.wikidata.org/wiki/Q15477170","display_name":"Thermal management of electronic devices and systems","level":2,"score":0.29910001158714294},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2973000109195709},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.28519999980926514},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2669000029563904},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.26579999923706055},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.2621000111103058}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.5281/zenodo.24083858","doi":"https://doi.org/10.5281/zenodo.24083858","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24083858","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.24083859","doi":"https://doi.org/10.5281/zenodo.24083859","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24083859","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.24084705","doi":"https://doi.org/10.5281/zenodo.24084705","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24084705","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.24083858","doi":"https://doi.org/10.5281/zenodo.24083858","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24083858","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/W7225455838","https://openalex.org/W7115171681","https://openalex.org/W7220460749","https://openalex.org/W7155393375","https://openalex.org/W7159609130","https://openalex.org/W7225663119","https://openalex.org/W7161158167","https://openalex.org/W7154831200","https://openalex.org/W7116101145","https://openalex.org/W7160304269"],"abstract_inverted_index":{"As":[0],"the":[1,6,13,23,39,74,86,90,108,115,119,123,126,140,146,149,153],"foundational":[2],"early":[3,134],"research":[4],"of":[5,32,78,118,132,148],"Constraint":[7,16],"Theory":[8],"system,":[9],"this":[10,63,133],"paper":[11,64],"proposes":[12,65],"Nested":[14],"Bidirectional":[15],"(NBDC)":[17],"framework.":[18,61],"NBDC":[19,45],"aims":[20],"to":[21,93],"describe":[22],"directed":[24],"propagation,":[25,50],"dissipation,":[26,52],"and":[27,42,53,70,81,84,145],"phase":[28],"transition":[29],"triggering":[30],"mechanisms":[31],"energy":[33],"in":[34,152],"complex":[35],"systems.":[36],"By":[37],"defining":[38],"\"accumulation":[40],"quantity\"":[41],"\"transition":[43],"readiness\",":[44],"successfully":[46],"unifies":[47],"acoustic":[48],"wave":[49],"viscous":[51],"intra-bubble":[54],"light":[55],"emission":[56],"within":[57],"a":[58,66],"single":[59],"dynamic":[60],"Furthermore,":[62],"multi-channel":[67],"dissipation":[68],"competition":[69],"coexistence":[71],"mechanism,":[72],"quantifying":[73],"conversion":[75],"rate":[76],"hierarchy":[77],"electrical,":[79],"optical,":[80],"thermal":[82],"channels,":[83],"derives":[85],"critical":[87,127],"temperature":[88,124],"for":[89],"optical":[91,120],"channel":[92,121],"open":[94],"as":[95],"Tc":[96],"\u2248":[97],"3.16":[98],"\u00d7":[99],"10^5":[100],"K.":[101],"The":[102,129],"theoretical":[103],"derivation":[104],"is":[105],"supported":[106],"by":[107],"included":[109],"simulation":[110],"figure,":[111],"which":[112],"visually":[113],"demonstrates":[114],"instantaneous":[116],"activation":[117],"once":[122],"exceeds":[125],"threshold.":[128],"core":[130],"concepts":[131],"model":[135],"are":[136],"further":[137],"elevated":[138],"into":[139],"\"dynamic":[141],"topological":[142],"confinement":[143],"threshold\"":[144],"\"emergence":[147],"conscious":[150],"operator\"":[151],"subsequent":[154],"Intrinsic":[155],"Topological":[156],"Dynamics":[157],"(ITD)":[158],"v8.0.":[159]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}
