{"id":"https://openalex.org/W7224316896","doi":"https://doi.org/10.5281/zenodo.23754243","title":"An Algorithmic Matrix Engine for Non-Linear Multi-Body Regularization and Far-Field Micro-Lensing Simulations","display_name":"An Algorithmic Matrix Engine for Non-Linear Multi-Body Regularization and Far-Field Micro-Lensing Simulations","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224316896","doi":"https://doi.org/10.5281/zenodo.23754243"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23754243","doi":"https://doi.org/10.5281/zenodo.23754243","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23754243","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.23754243","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147890477","display_name":"KIAN CHENG TAN","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"TAN, KIAN CHENG","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5147890477"],"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.336899995803833,"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.336899995803833,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.18690000474452972,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.07999999821186066,"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/einstein-cross","display_name":"Einstein cross","score":0.8799999952316284},{"id":"https://openalex.org/keywords/gravitational-lensing","display_name":"gravitational lensing","score":0.6019999980926514},{"id":"https://openalex.org/keywords/chaotic-systems","display_name":"chaotic systems","score":0.5789999961853027},{"id":"https://openalex.org/keywords/numerical-stability","display_name":"numerical stability","score":0.6600000262260437}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6604999899864197},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.5656999945640564},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43309998512268066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.421999990940094},{"id":"https://openalex.org/C51929080","wikidata":"https://www.wikidata.org/wiki/Q2425187","display_name":"Codebase","level":3,"score":0.4214000105857849},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.38679999113082886},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3725999891757965},{"id":"https://openalex.org/C40866790","wikidata":"https://www.wikidata.org/wiki/Q956238","display_name":"Interactive computing","level":2,"score":0.3587999939918518},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.35429999232292175},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34790000319480896},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3452000021934509},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.3402999937534332},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C176809094","wikidata":"https://www.wikidata.org/wiki/Q15401496","display_name":"Traverse","level":2,"score":0.32429999113082886},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.32280001044273376},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2989000082015991},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.298799991607666},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C190390380","wikidata":"https://www.wikidata.org/wiki/Q62505","display_name":"Physics engine","level":2,"score":0.2935999929904938},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.29249998927116394},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.2849000096321106},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.27950000762939453},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.27889999747276306},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.27309998869895935},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C105339364","wikidata":"https://www.wikidata.org/wiki/Q2297740","display_name":"Software deployment","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C30072841","wikidata":"https://www.wikidata.org/wiki/Q1767080","display_name":"Diagonalizable matrix","level":4,"score":0.26579999923706055},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.26330000162124634},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.2630000114440918},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.25929999351501465},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.25870001316070557},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2554999887943268},{"id":"https://openalex.org/C72514878","wikidata":"https://www.wikidata.org/wiki/Q919765","display_name":"Computational mechanics","level":3,"score":0.25519999861717224}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23754243","doi":"https://doi.org/10.5281/zenodo.23754243","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23754243","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.23754244","doi":"https://doi.org/10.5281/zenodo.23754244","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23754244","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.23754243","doi":"https://doi.org/10.5281/zenodo.23754243","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23754243","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/W7095362129","https://openalex.org/W7163318266","https://openalex.org/W1870207403","https://openalex.org/W7006265714","https://openalex.org/W7002121356","https://openalex.org/W3014532710","https://openalex.org/W2392474873","https://openalex.org/W16045089","https://openalex.org/W3047302786","https://openalex.org/W2327877291"],"abstract_inverted_index":{"This":[0,101],"repository":[1],"contains":[2],"the":[3,12,73,83],"interactive":[4,50],"Python":[5],"deployment":[6],"and":[7,58,108,113],"functional":[8],"open-access":[9,102],"specifications":[10],"for":[11,27,111],"KCTAN-GEMINI":[13],"Matrix":[14],"Engine":[15],"(Simulation":[16],"Variant":[17],"V6.2).":[18],"The":[19,42],"codebase":[20],"provides":[21],"an":[22,106],"discrete":[23,118],"array-driven":[24],"computational":[25],"method":[26],"multi-body":[28,89],"trajectory":[29],"stability,":[30],"bypassing":[31],"traditional":[32],"continuous":[33],"differential":[34],"calculus":[35],"limitations":[36],"through":[37],"localized":[38],"matrix":[39],"compensation":[40],"layers.":[41],"package":[43],"includes":[44],"two":[45],"core":[46],"elements:":[47],"1.":[48],"An":[49],"simulator":[51],"script":[52],"(kctan_3sun_equilibrium.py=kctan_3sun_matrix.txt)":[53],"showcasing":[54],"real-time":[55],"feedback":[56],"loops":[57],"Tier-11":[59],"hardware-level":[60],"data":[61],"concatenation":[62],"to":[63,116],"neutralize":[64],"numerical":[65],"runaways.":[66],"2.":[67],"A":[68],"comprehensive":[69],"engineering":[70],"specification":[71],"outlining":[72],"observational":[74],"mechanics":[75],"of":[76],"extreme":[77],"proximity":[78],"stellar":[79],"matrices,":[80],"explicitly":[81],"detailing":[82],"\"Einstein":[84],"Cross":[85],"Far-Field":[86],"Illusion\"":[87],"where":[88],"dynamics":[90],"collapse":[91],"optically":[92],"into":[93],"stable":[94],"point":[95],"sources":[96],"over":[97,122],"deep":[98],"cosmic":[99],"lines.":[100],"framework":[103],"serves":[104],"as":[105],"educational":[107],"research":[109],"baseline":[110],"physicists":[112],"developers":[114],"looking":[115],"model":[117],"mathematical":[119],"boundary":[120],"controls":[121],"chaotic":[123],"systems":[124],"without":[125],"relying":[126],"on":[127],"legacy":[128],"singularity":[129],"abstractions.":[130]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2026-10-30T00:00:00"}
