{"id":"https://openalex.org/W7223662914","doi":"https://doi.org/10.5281/zenodo.23663160","title":"UDCT v7.14: Exploratory QUMOND Hessian and Phase-Space Consistency Tests (Steps 01\u201350)","display_name":"UDCT v7.14: Exploratory QUMOND Hessian and Phase-Space Consistency Tests (Steps 01\u201350)","publication_year":2026,"publication_date":"2026-10-27","ids":{"openalex":"https://openalex.org/W7223662914","doi":"https://doi.org/10.5281/zenodo.23663160"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23663160","doi":"https://doi.org/10.5281/zenodo.23663160","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23663160","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","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23663160","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137602421","display_name":"Won Shik Paik","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Paik, Won Shik","raw_affiliation_strings":["Independent Researcher, Auckland, New Zealand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher, Auckland, New Zealand","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5137602421"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"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":0.47290000319480896,"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":0.47290000319480896,"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":0.388700008392334,"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.053599998354911804,"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/qumond","display_name":"QUMOND","score":0.8769999742507935},{"id":"https://openalex.org/keywords/modified-gravity","display_name":"modified gravity","score":0.9660000205039978},{"id":"https://openalex.org/keywords/mond","display_name":"MOND","score":0.8970000147819519},{"id":"https://openalex.org/keywords/distribution-function","display_name":"distribution function","score":0.6290000081062317},{"id":"https://openalex.org/keywords/dwarf-galaxies","display_name":"dwarf galaxies","score":0.7429999709129333},{"id":"https://openalex.org/keywords/plummer-sphere","display_name":"Plummer sphere","score":0.8820000290870667},{"id":"https://openalex.org/keywords/asymptotic-analysis","display_name":"asymptotic analysis","score":0.6869999766349792},{"id":"https://openalex.org/keywords/tangency-conditions","display_name":"tangency conditions","score":0.45899999141693115}],"concepts":[{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8068000078201294},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49889999628067017},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4984999895095825},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4855000078678131},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43070000410079956},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.42899999022483826},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C3018260909","wikidata":"https://www.wikidata.org/wiki/Q1322871","display_name":"Exploratory analysis","level":2,"score":0.3628999888896942},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36160001158714294},{"id":"https://openalex.org/C50817715","wikidata":"https://www.wikidata.org/wiki/Q79895177","display_name":"Regret","level":2,"score":0.3564000129699707},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.3327000141143799},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.3082999885082245},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C85973986","wikidata":"https://www.wikidata.org/wiki/Q1091731","display_name":"Exploratory research","level":2,"score":0.29679998755455017},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C2778012447","wikidata":"https://www.wikidata.org/wiki/Q1034415","display_name":"Scope (computer science)","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.271699994802475},{"id":"https://openalex.org/C120894424","wikidata":"https://www.wikidata.org/wiki/Q1322871","display_name":"Exploratory data analysis","level":2,"score":0.262800008058548},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.2603999972343445},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.2549000084400177},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2542000114917755}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23663160","doi":"https://doi.org/10.5281/zenodo.23663160","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23663160","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.23663161","doi":"https://doi.org/10.5281/zenodo.23663161","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23663161","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.23663160","doi":"https://doi.org/10.5281/zenodo.23663160","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23663160","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W7218741309","https://openalex.org/W7219640456","https://openalex.org/W7221033276","https://openalex.org/W7221672903","https://openalex.org/W7223091126","https://openalex.org/W7223246753"],"related_works":["https://openalex.org/W7214786711","https://openalex.org/W7223091126","https://openalex.org/W7221033276","https://openalex.org/W7221476592","https://openalex.org/W7219605357","https://openalex.org/W7223246753","https://openalex.org/W2996386668","https://openalex.org/W7221174251","https://openalex.org/W7221672903","https://openalex.org/W7166579749"],"abstract_inverted_index":{"UDCT":[0],"v7.14":[1],"\u2014":[2],"Exploratory":[3],"Working":[4],"Paper":[5],"(Steps":[6],"01\u201350)":[7],"Overview":[8],"This":[9,154,248,292],"pre-preregistration":[10],"working":[11],"paper":[12],"consolidates":[13],"50":[14,140,286],"stages":[15,287],"of":[16,97,128,271,277,284,308],"exploratory":[17,251,296],"computational":[18,85,242,258],"research":[19,252,297],"investigating":[20],"gravitational-field":[21],"structure,":[22],"Hessian":[23,65,231],"diagnostics,":[24],"Jeans":[25],"modeling,":[26],"and":[27,43,160,174,206,233,245,262,275,340],"phase-space":[28,169,180],"distribution-function":[29],"(DF)":[30],"consistency":[31],"in":[32,54,107,199],"dwarf-galaxy-motivated":[33],"modified-gravity":[34],"models.":[35],"The":[36,83,228],"study":[37,212],"builds":[38],"on":[39],"the":[40,61,73,108,113,122,126,129,157,183,221,234],"QUMOND":[41,51],"framework":[42],"discusses":[44],"its":[45],"relationship":[46],"to":[47,220],"Milgrom's":[48],"2023":[49],"generalized":[50],"(GQUMOND)":[52],"formulation,":[53],"which":[55],"higher":[56],"spatial":[57],"derivatives":[58],"can":[59],"enter":[60],"gravitational":[62,92,313],"theory.":[63,314],"Computing":[64],"diagnostics":[66],"is":[67,294],"not,":[68],"by":[69],"itself,":[70],"evidence":[71],"that":[72],"full":[74],"GQUMOND":[75,198],"field":[76],"equations":[77],"have":[78],"been":[79,290],"implemented.":[80],"Principal":[81],"Findings":[82],"later":[84,235],"branch":[86],"examines":[87],"an":[88,295],"isolated":[89,236],"spherical":[90,237],"Plummer":[91],"source":[93],"with":[94,344],"a":[95,105,142,164,216,300,309],"family":[96],"tracer-density":[98],"profiles.":[99],"Conditional":[100],"central":[101],"asymptotic":[102],"analysis":[103],"identifies":[104,141],"transition":[106],"leading":[109,123],"DF":[110,131,177,238,333],"sign":[111,127],"at":[112,146,328],"tracer-shape":[114],"exponent":[115],"p":[116,151,329],"=":[117,148,152,330],"1.5.":[118,153],"At":[119],"exact":[120],"equality,":[121],"term":[124],"vanishes;":[125],"complete":[130,222],"requires":[132],"additional":[133],"higher-order":[134,326],"analysis.":[135],"Under":[136],"Osipkov\u2013Merritt":[137],"anisotropy,":[138],"Step":[139],"local":[143],"finite-window":[144],"tangency":[145],"r_a/a":[147],"0.466466787396":[149],"for":[150],"result":[155],"characterizes":[156],"explored":[158],"model":[159,208],"numerical":[161,260],"interval,":[162],"not":[163,189,214,289,299],"universal":[165],"or":[166,193,197,306],"globally":[167],"established":[168],"positivity":[170],"threshold.":[171],"Scientific":[172],"Scope":[173],"Limitations":[175],"Negative":[176],"values":[178],"indicate":[179],"inconsistency":[181],"under":[182],"specified":[184],"equilibrium":[185],"assumptions.":[186],"They":[187],"do":[188],"establish":[190],"dynamical":[191],"instability":[192],"falsify":[194],"MOND,":[195],"QUMOND,":[196],"general.":[200],"Hydrus":[201],"I":[202],"provides":[203],"observational":[204,342],"motivation":[205],"selected":[207,273],"inputs,":[209],"but":[210],"this":[211],"does":[213],"claim":[215,307],"direct":[217,341],"likelihood":[218],"fit":[219],"individual":[223,345],"stellar":[224,346],"line-of-sight":[225],"velocity":[226],"dataset.":[227],"early":[229],"three-dimensional":[230],"investigations":[232,323],"calculations":[239],"are":[240],"distinct":[241],"branches.":[243],"Reproducibility":[244],"Research":[246],"Status":[247],"publication":[249],"documents":[250],"Steps":[253],"01\u201350,":[254],"including":[255],"mathematical":[256],"interpretation,":[257],"provenance,":[259],"results,":[261],"identified":[263],"limitations.":[264],"Earlier":[265],"archived":[266],"audits":[267],"reported":[268],"successful":[269],"reexecution":[270],"five":[272],"scripts":[274],"agreement":[276],"13":[278],"generated":[279],"output":[280],"files.":[281],"Independent":[282],"replication":[283],"all":[285],"has":[288],"established.":[291],"work":[293],"record,":[298],"completed":[301],"confirmatory":[302],"preregistration,":[303],"peer-reviewed":[304],"validation,":[305],"new":[310],"universally":[311],"applicable":[312],"Repository:":[315],"https://github.com/wspaik5/UDCT_v7.14_PrePreregistration_Exploratory":[316],"Reserved":[317],"DOI:":[318],"https://doi.org/10.5281/zenodo.23663161":[319],"Future":[320],"Work":[321],"Further":[322],"will":[324],"examine":[325],"asymptotics":[327],"1.5,":[331],"full-energy-domain":[332],"positivity,":[334],"alternative":[335],"anisotropy":[336],"prescriptions,":[337],"external-field":[338],"effects,":[339],"comparisons":[343],"velocities.":[347]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-10-29T09:56:32.521200","created_date":"2026-10-27T00:00:00"}
