{"id":"https://openalex.org/W7225336382","doi":"https://doi.org/10.20944/preprints202611.0710.v1","title":"Applicability Domain of the Finite-Observation-Window Law, Cosmic Resource Barrier, and Microscopic Origin of Topological Decoherence\u2014TRFT IV","display_name":"Applicability Domain of the Finite-Observation-Window Law, Cosmic Resource Barrier, and Microscopic Origin of Topological Decoherence\u2014TRFT IV","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225336382","doi":"https://doi.org/10.20944/preprints202611.0710.v1"},"language":"en","primary_location":{"id":"doi:10.20944/preprints202611.0710.v1","doi":"https://doi.org/10.20944/preprints202611.0710.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202611.0710.v1","pdf_url":null,"source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.20944/preprints202611.0710.v1","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040974605","display_name":"Zhongzheng Miao","orcid":"https://orcid.org/0000-0002-8983-1593","observed_orcids":["https://orcid.org/0000-0002-8983-1593"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zhongzheng Miao","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7511-8714","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5040974605"],"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.6509000062942505,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.6509000062942505,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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":0.2791000008583069,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.019200000911951065,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/arrow-of-time","display_name":"arrow of time","score":0.7860000133514404},{"id":"https://openalex.org/keywords/quantum-cramer-rao-bound","display_name":"quantum Cram\u00e9r-Rao bound","score":0.8740000128746033},{"id":"https://openalex.org/keywords/open-quantum-systems","display_name":"open quantum systems","score":0.6600000262260437},{"id":"https://openalex.org/keywords/su-schrieffer-heeger-model","display_name":"Su-Schrieffer-Heeger model","score":0.5910000205039978},{"id":"https://openalex.org/keywords/lindblad-dynamics","display_name":"Lindblad dynamics","score":0.8429999947547913},{"id":"https://openalex.org/keywords/nisq-devices","display_name":"NISQ devices","score":0.7900000214576721}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.535099983215332},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5146999955177307},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.503600001335144},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.47209998965263367},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4607999920845032},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.4519999921321869},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.42309999465942383},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41909998655319214},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.3659999966621399},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C135694725","wikidata":"https://www.wikidata.org/wiki/Q1201087","display_name":"Detailed balance","level":2,"score":0.3522999882698059},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3497999906539917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3280999958515167},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.29829999804496765},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.29109999537467957},{"id":"https://openalex.org/C87007009","wikidata":"https://www.wikidata.org/wiki/Q210832","display_name":"Statistical hypothesis testing","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.28029999136924744},{"id":"https://openalex.org/C16757284","wikidata":"https://www.wikidata.org/wiki/Q1145117","display_name":"Poisson point process","level":3,"score":0.27869999408721924},{"id":"https://openalex.org/C14828074","wikidata":"https://www.wikidata.org/wiki/Q186559","display_name":"Arrow of time","level":3,"score":0.271699994802475},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.2705000042915344},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.26489999890327454},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2621999979019165},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.2533999979496002}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.20944/preprints202611.0710.v1","doi":"https://doi.org/10.20944/preprints202611.0710.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202611.0710.v1","pdf_url":null,"source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"doi:10.5281/zenodo.23969691","doi":"https://doi.org/10.5281/zenodo.23969691","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969691","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.23969692","doi":"https://doi.org/10.5281/zenodo.23969692","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23969692","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:10.20944/preprints202611.0710.v1","doi":"https://doi.org/10.20944/preprints202611.0710.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202611.0710.v1","pdf_url":null,"source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"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/W7221948467","https://openalex.org/W7128704643","https://openalex.org/W7203568011","https://openalex.org/W7161602279","https://openalex.org/W7170922573","https://openalex.org/W7161481618","https://openalex.org/W7223232728","https://openalex.org/W7081630018","https://openalex.org/W7128720424","https://openalex.org/W7124140995"],"abstract_inverted_index":{"The":[0,69,185],"Topological":[1],"Relational":[2],"Field":[3],"Theory":[4],"(TRFT)":[5],"series":[6],"[1\u20133]":[7],"previously":[8],"elevated":[9],"the":[10,29,39,77,84,93,100,109,118,126,138,149,162,166,171,177,189,209,216,229,232,250,254,271,278,285,301,311,317,326,345,350,364],"finite":[11],"observation":[12],"window":[13],"to":[14,238,305,316],"a":[15,23,50,131,221,257],"thermodynamic":[16],"coordinate":[17],"and,":[18],"in":[19,108,137,215,363],"TRFT":[20],"III,":[21],"proposed":[22],"candidate":[24,59,127],"fourth":[25],"law":[26,128,151],"based":[27,248],"on":[28,134,212,249],"time-conjugate":[30],"field":[31],"\\(":[32,203,224],"\u03a6":[33],"\\).":[34,206,226],"In":[35],"this":[36,58,219],"paper,":[37],"within":[38],"frameworks":[40],"of":[41,57,66,76,87,165,174,176,179,191,198,253,261,274],"standard":[42],"quantum":[43,101,360],"estimation":[44],"and":[45,54,61,89,99,125,264,277,313,348],"open-system":[46],"theory,":[47],"we":[48,82,105,169,269,290],"perform":[49],"rigorous":[51],"independent":[52,192,260],"test":[53],"boundary":[55],"delimitation":[56],"law,":[60],"complete":[62],"three":[63],"substantive":[64],"developments":[65],"cross-scale":[67],"significance.":[68],"core":[70,351],"conclusions":[71],"are":[72],"fully":[73],"testable":[74],"independently":[75],"framework":[78],"(dual-track":[79],"independence).":[80],"First,":[81],"establish":[83],"precise":[85],"domains":[86],"kinematics":[88],"thermodynamics.":[90],"By":[91],"introducing":[92],"Scaled":[94],"Reference":[95],"Point":[96],"Relation":[97],"(SRPR)":[98],"Cram\u00e9r\u2013Rao":[102],"bound":[103,211],"(CRB),":[104],"prove":[106,292],"that":[107,188,293,354],"macroscopic":[110,346],"reality":[111],"regime":[112],"(\\(":[113,144,297,320,336],"r":[114,145],"\\)":[115,146],">":[116],"1),":[117,148],"CRB":[119],"strictly":[120],"takes":[121],"over":[122],"statistical":[123,262],"precision,":[124],"degenerates":[129],"into":[130],"conditional":[132],"constraint":[133],"bandwidth;":[135],"whereas":[136],"extremely":[139,244],"short,":[140],"few-body":[141],"attosecond":[142],"limit":[143,247],"\u226a":[147],"original":[150],"again":[152],"becomes":[153],"an":[154,243,281],"absolutely":[155],"tight":[156],"upper":[157,210],"bound,":[158],"thereby":[159],"precisely":[160],"delimiting":[161],"valid":[163],"territory":[164],"law.":[167],"Second,":[168],"reveal":[170,270],"\"third":[172],"class":[173],"irreversibility\"":[175],"arrow":[178],"time":[180],"(the":[181],"cosmic":[182],"resource":[183,222],"barrier).":[184],"derivation":[186],"shows":[187],"number":[190],"measurements":[193],"required":[194],"for":[195,280,358],"reverse":[196],"recovery":[197],"decoherence":[199,276,328],"explodes":[200],"exponentially":[201,331],"as":[202],"e^{2\\varGamma":[204],"t}":[205],"Combined":[207],"with":[208,344],"baryonic":[213],"matter":[214],"observable":[217],"universe,":[218,255],"gives":[220],"barrier":[223,233,347],"\u0393t\u224891.8":[225],"Even":[227],"approaching":[228],"Bremermann":[230],"limit,":[231],"is":[234],"delayed":[235],"only":[236,308],"logarithmically":[237],"about":[239],"139.":[240],"This":[241,341],"establishes":[242,349],"hard":[245],"physical":[246],"total":[251],"capacity":[252],"opening":[256],"new":[258],"paradigm":[259],"probability":[263],"local":[265],"energy":[266],"consumption.":[267],"Third,":[268],"microscopic":[272],"origin":[273],"topological":[275,327,359],"prerequisite":[279,353],"engineering":[282],"breakthrough.":[283],"Within":[284],"SSH":[286],"+":[287],"Lindblad":[288],"model,":[289],"rigorously":[291],"uniform":[294],"environment":[295],"coupling":[296,314],"P=I":[298],"\\))":[299,324],"locks":[300],"loss":[302],"rate":[303,329],"due":[304],"wavefunction":[306,334],"normalization;":[307],"by":[309,333],"\"screening":[310],"edges":[312],"solely":[315],"bulk":[318],"region\"":[319],"P":[321],"\u2260":[322],"I":[323],"can":[325],"be":[330,356],"suppressed":[332],"overlap":[335],"{\\varGamma":[337],"}_{\\mathrm{topo}}\\propto":[338],"e^{-cN}":[339],"\\)).":[340],"mechanism":[342],"connects":[343],"spatial-geometric":[352],"must":[355],"satisfied":[357],"device":[361],"design":[362],"NISQ":[365],"era.":[366]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-11-06T00:00:00"}
