{"id":"https://openalex.org/W7158830849","doi":"https://doi.org/10.48550/arxiv.2604.26383","title":"Drift-Free Conservative Dynamics from Quantized Interaction Rules","display_name":"Drift-Free Conservative Dynamics from Quantized Interaction Rules","publication_year":2026,"publication_date":"2026-04-29","ids":{"openalex":"https://openalex.org/W7158830849","doi":"https://doi.org/10.48550/arxiv.2604.26383"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.26383","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.26383","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.26383","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133248940","display_name":"Park Junhu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Junhu, Park","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014948416","display_name":"Youngsoo Ha","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ha, Youngsoo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134892809","display_name":"Myungjoo Kang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kang, Myungjoo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.4569999873638153,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.4569999873638153,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.1647000014781952,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10360","display_name":"Fluid Dynamics and Turbulent Flows","score":0.12030000239610672,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conservation-law","display_name":"Conservation law","score":0.6988000273704529},{"id":"https://openalex.org/keywords/antisymmetric-relation","display_name":"Antisymmetric relation","score":0.5123000144958496},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.46000000834465027},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.45590001344680786},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.3862999975681305},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.3783999979496002},{"id":"https://openalex.org/keywords/noethers-theorem","display_name":"Noether's theorem","score":0.36910000443458557},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.3449000120162964}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7555000185966492},{"id":"https://openalex.org/C3445786","wikidata":"https://www.wikidata.org/wiki/Q205805","display_name":"Conservation law","level":2,"score":0.6988000273704529},{"id":"https://openalex.org/C152401794","wikidata":"https://www.wikidata.org/wiki/Q583760","display_name":"Antisymmetric relation","level":2,"score":0.5123000144958496},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.46000000834465027},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.45590001344680786},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3862999975681305},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.3783999979496002},{"id":"https://openalex.org/C80892491","wikidata":"https://www.wikidata.org/wiki/Q578555","display_name":"Noether's theorem","level":3,"score":0.36910000443458557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3472000062465668},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.3449000120162964},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3427000045776367},{"id":"https://openalex.org/C71914180","wikidata":"https://www.wikidata.org/wiki/Q1071013","display_name":"Conserved quantity","level":2,"score":0.3278999924659729},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.3271999955177307},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3052000105381012},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.28360000252723694},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2574999928474426},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.25600001215934753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.26383","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.26383","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.26383","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.26383","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.6108595728874207}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Conservation":[0],"laws":[1,128],"are":[2],"conventionally":[3],"discretized":[4],"through":[5,92,129],"floating-point":[6],"flux":[7,93],"evaluation,":[8],"with":[9],"invariants":[10],"obtained":[11],"by":[12,23,55],"cancellation":[13],"of":[14,126],"approximate":[15],"interface":[16],"contributions":[17],"and":[18,25,68,109,124],"admissible":[19,83],"weak":[20],"solutions":[21],"selected":[22],"reconstruction":[24],"Riemann":[26],"solvers.":[27],"Here":[28],"we":[29],"introduce":[30],"an":[31,41,56],"operator-level":[32],"formulation":[33],"in":[34,114,150],"which":[35,60],"conservative":[36,152],"dynamics":[37,140],"is":[38,53],"realized":[39],"as":[40],"exact":[42,138],"discrete":[43],"interaction":[44,100],"rule":[45,101],"on":[46],"a":[47],"quantized":[48],"state":[49],"space.":[50],"The":[51,117,134],"update":[52],"defined":[54],"antisymmetric":[57],"integer-transfer":[58,139],"operator,":[59],"enforces":[61],"conservation":[62,127],"exactly":[63],"at":[64],"the":[65,73,87,99,106],"arithmetic":[66],"level":[67],"eliminates":[69],"round-off":[70],"drift":[71,145],"from":[72],"primitive":[74,88],"evolution.":[75,153],"For":[76],"scalar":[77],"laws,":[78],"monotone":[79],"order-preserving":[80],"transfers":[81],"select":[82],"shock":[84],"structures":[85],"within":[86],"update,":[89],"rather":[90],"than":[91],"reconstruction.":[94],"Numerical":[95],"experiments":[96],"show":[97,136],"that":[98,137],"preserves":[102],"high-frequency":[103],"transport":[104,144],"near":[105],"Nyquist":[107],"limit":[108],"maintains":[110],"sharply":[111],"localized":[112],"discontinuities":[113],"Burgers":[115],"dynamics.":[116],"same":[118],"construction":[119],"extends":[120],"to":[121],"multidimensional":[122],"problems":[123],"systems":[125],"oriented,":[130],"vector-valued":[131],"integer":[132],"transfers.":[133],"results":[135],"can":[141],"suppress":[142],"cumulative":[143],"while":[146],"preserving":[147],"entropy-shock":[148],"localization":[149],"nonlinear":[151]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-01T00:00:00"}