{"id":"https://openalex.org/W7225656310","doi":"https://doi.org/10.6084/m9.figshare.34951429","title":"The Spectrum of a Compact Internal Space III: Finite-Window Dynamics of Cosmic Structure Formation","display_name":"The Spectrum of a Compact Internal Space III: Finite-Window Dynamics of Cosmic Structure Formation","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225656310","doi":"https://doi.org/10.6084/m9.figshare.34951429"},"language":"en","primary_location":{"id":"doi:10.6084/m9.figshare.34951429","doi":"https://doi.org/10.6084/m9.figshare.34951429","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34951429","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.34951429","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147887498","display_name":"Jinku Guo","orcid":"https://orcid.org/0009-0000-6600-6171","observed_orcids":["https://orcid.org/0009-0000-6600-6171"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jinku Guo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5147887498"],"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9365000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9365000128746033,"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"}},{"id":"https://openalex.org/T10026","display_name":"Galaxies: Formation, Evolution, Phenomena","score":0.0406000018119812,"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"}},{"id":"https://openalex.org/T11960","display_name":"Relativity and Gravitational Theory","score":0.002300000051036477,"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":[{"id":"https://openalex.org/keywords/structure-formation","display_name":"structure formation","score":0.9700000286102295},{"id":"https://openalex.org/keywords/spatial-moments","display_name":"spatial moments","score":0.7329999804496765},{"id":"https://openalex.org/keywords/reconstruction-error-bounds","display_name":"reconstruction error bounds","score":0.6949999928474426},{"id":"https://openalex.org/keywords/modulus-of-continuity","display_name":"modulus of continuity","score":0.7369999885559082},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5979999899864197},{"id":"https://openalex.org/keywords/particle-simulation","display_name":"particle simulation","score":0.3619999885559082}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5386999845504761},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5109999775886536},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4796999990940094},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43720000982284546},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4366999864578247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4334000051021576},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.3601999878883362},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.34310001134872437},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3357999920845032},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3264000117778778},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.31349998712539673},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.3068999946117401},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.29919999837875366},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.29339998960494995},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C65494353","wikidata":"https://www.wikidata.org/wiki/Q180241","display_name":"Internal energy","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.26179999113082886},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.25999999046325684},{"id":"https://openalex.org/C18444321","wikidata":"https://www.wikidata.org/wiki/Q368442","display_name":"Compact star","level":3,"score":0.257999986410141},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.25769999623298645},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.2538999915122986},{"id":"https://openalex.org/C174084160","wikidata":"https://www.wikidata.org/wiki/Q908049","display_name":"Bound state","level":2,"score":0.2524000108242035},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.25200000405311584},{"id":"https://openalex.org/C2777925532","wikidata":"https://www.wikidata.org/wiki/Q5357201","display_name":"Mass gap","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.6084/m9.figshare.34951429","doi":"https://doi.org/10.6084/m9.figshare.34951429","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34951429","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.34951429.v1","doi":"https://doi.org/10.6084/m9.figshare.34951429.v1","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34951429.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"}],"best_oa_location":{"id":"doi:10.6084/m9.figshare.34951429","doi":"https://doi.org/10.6084/m9.figshare.34951429","is_oa":true,"landing_page_url":"https://doi.org/10.6084/m9.figshare.34951429","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":["https://openalex.org/W7221825945","https://openalex.org/W7136043890","https://openalex.org/W7159769096","https://openalex.org/W7225198219","https://openalex.org/W7117963113","https://openalex.org/W7136032925","https://openalex.org/W7155172211","https://openalex.org/W4317910428","https://openalex.org/W7117574625","https://openalex.org/W7117583771"],"abstract_inverted_index":{"Cosmic":[0],"matter":[1,59],"forms":[2],"concentrations":[3],"whose":[4],"external":[5],"force":[6,36,112,160,269],"can":[7,21],"often":[8],"be":[9],"described":[10],"by":[11],"their":[12,337],"mass":[13],"and":[14,18,31,37,51,61,77,113,130,148,191,239,271,274,288,297,302,319,327],"spatial":[15],"moments.":[16],"Encounters":[17],"material":[19],"exchange":[20],"make":[22],"finer":[23,295],"structure":[24,283],"relevant":[25],"again.":[26],"We":[27],"determine":[28,67],"when":[29],"field":[30],"object":[32,142],"descriptions":[33],"preserve":[34],"that":[35],"the":[38,58,68,93,98,103,110,114,118,159,175,179,183,201,216,224,240,254,285,292,322,333],"subsequent":[39],"evolution":[40],"of":[41,178,208,228,294],"specified":[42],"observables":[43,214],"while":[44],"retaining":[45],"unresolved":[46],"influence":[47],"in":[48,117,136,185],"residual":[49],"variables":[50],"memory.":[52],"The":[53,71,219],"compact":[54],"internal-space":[55],"construction":[56],"supplies":[57],"carriers":[60],"collective":[62],"source.":[63],"Their":[64],"coupled":[65],"variations":[66],"macroscopic":[69],"evolution.":[70,155],"applications":[72],"examine":[73],"homogeneous":[74],"response":[75,101],"reuse":[76],"a":[78,88,137,152,195,229,316],"constrained":[79],"nonuniform":[80],"Einstein\u2013matter":[81],"perturbation":[82],"together":[83],"with":[84,144,243],"autonomous":[85],"expansion":[86,119],"from":[87],"local":[89],"constitutive":[90,104],"action.":[91],"In":[92],"expanding":[94],"root-mean-square":[95],"(RMS)":[96],"application,":[97],"endpoint":[99],"amplitude":[100],"fixes":[102],"flux.":[105],"Its":[106,261],"potential":[107],"determines":[108],"both":[109],"cold-matter":[111],"binding":[115],"term":[116],"constraint.":[120],"A":[121,170,205,249],"finite-interval":[122],"enclosure":[123],"establishes":[124],"noncrossing,":[125],"positive":[126,171,237],"reduced":[127,244],"kinetic":[128],"curvature":[129],"regular":[131],"weak-field":[132],"material-clock":[133],"readings.":[134],"Reconstruction":[135],"common":[138,206],"state":[139,197],"space":[140],"combines":[141],"replacement":[143],"moving":[145],"spectral":[146],"boundaries":[147],"truncated":[149],"memory":[150],"for":[151,284],"finite":[153,230],"reference":[154],"Spatial":[156],"moments":[157],"bound":[158,173,212],"error.":[161,204],"Cloud-in-cell":[162],"assignment":[163],"admits":[164],"an":[165],"exact":[166],"eight-moment":[167],"cell":[168],"representation.":[169],"lower":[172],"on":[174,194],"source":[176],"derivative":[177],"stationary":[180],"constraint":[181],"bounds":[182,193,270],"error":[184],"reusing":[186],"its":[187],"response.":[188],"Integrable":[189],"stability":[190],"defect":[192],"certified":[196,226],"tube":[198],"then":[199],"control":[200,291],"accumulated":[202],"reconstruction":[203,265],"modulus":[207],"continuity":[209],"transfers":[210],"this":[211],"to":[213,321],"over":[215],"prescribed":[217,241,286],"interval.":[218],"first":[220],"accepted":[221],"window":[222],"is":[223],"least":[225],"member":[227],"ordered":[231],"family.":[232],"Finite":[233],"Galerkin":[234],"examples":[235],"retain":[236],"density":[238],"accuracy":[242],"arithmetic":[245],"work":[246],"including":[247],"verification.":[248],"cosmological":[250],"particle":[251],"calculation":[252],"encloses":[253],"continuous-time":[255],"trajectory":[256],"at":[257,332],"fixed":[258],"mesh":[259],"resolution.":[260],"weakly":[262],"perturbed":[263],"cold-sheet":[264],"also":[266],"gives":[267],"full-frequency":[268],"continuous":[272],"position":[273],"momentum":[275],"equation-defect":[276],"bounds.":[277],"These":[278],"estimates":[279],"select":[280],"sufficient":[281],"retained":[282],"interaction":[287],"observables.":[289],"They":[290],"re-entry":[293],"coordinates.Reading":[296],"research":[298,317],"materialsSSRN":[299],"preprintZenodo":[300],"archiveArticle":[301],"supplementary":[303,328],"materialsJinku":[304],"Guo":[305],"\u00b7":[306,310],"Northwestern":[307],"Polytechnical":[308],"University":[309],"ORCID":[311],"0009-0000-6600-6171.This":[312],"metadata":[313],"record":[314],"provides":[315],"summary":[318],"links":[320],"work.":[323],"Full":[324],"texts,":[325],"software":[326],"files":[329],"are":[330],"available":[331],"linked":[334],"repositories":[335],"under":[336],"stated":[338],"licences.":[339]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}