{"id":"https://openalex.org/W7225312601","doi":"https://doi.org/10.5281/zenodo.23974143","title":"DNS Nested Springs: Generation and Evolution, Paper 1 (Generation)","display_name":"DNS Nested Springs: Generation and Evolution, Paper 1 (Generation)","publication_year":2026,"publication_date":"2026-11-05","ids":{"openalex":"https://openalex.org/W7225312601","doi":"https://doi.org/10.5281/zenodo.23974143"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23974143","doi":"https://doi.org/10.5281/zenodo.23974143","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23974143","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","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23974143","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135627539","display_name":"feiyue pan","orcid":"https://orcid.org/0009-0009-1345-8487","observed_orcids":["https://orcid.org/0009-0009-1345-8487"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"pan, feiyue","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0009-1345-8487","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5135627539"],"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.5375999808311462,"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"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.5375999808311462,"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/T12504","display_name":"Mathematics and Applications","score":0.17820000648498535,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T14299","display_name":"Complex Systems and Dynamics","score":0.05640000104904175,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chirality","display_name":"chirality","score":0.5410000085830688},{"id":"https://openalex.org/keywords/closure-conditions","display_name":"closure conditions","score":0.5989999771118164},{"id":"https://openalex.org/keywords/dissipative-systems","display_name":"dissipative systems","score":0.3499999940395355}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.5623000264167786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5081999897956848},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.428600013256073},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.39809998869895935},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3831999897956848},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.38089999556541443},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.3481000065803528},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.3303000032901764},{"id":"https://openalex.org/C7305733","wikidata":"https://www.wikidata.org/wiki/Q207961","display_name":"Geometric shape","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.311599999666214},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.30720001459121704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3043999969959259},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3037000000476837},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2628999948501587},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.25999999046325684},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23974143","doi":"https://doi.org/10.5281/zenodo.23974143","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23974143","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.23974144","doi":"https://doi.org/10.5281/zenodo.23974144","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23974144","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.23974143","doi":"https://doi.org/10.5281/zenodo.23974143","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23974143","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":0,"referenced_works":[],"related_works":["https://openalex.org/W7213645757","https://openalex.org/W7170088883","https://openalex.org/W7169583253","https://openalex.org/W7204812800","https://openalex.org/W7169758519","https://openalex.org/W7170078612","https://openalex.org/W7207539442","https://openalex.org/W7172504505","https://openalex.org/W7213763569","https://openalex.org/W7039671912"],"abstract_inverted_index":{"This":[0,337],"paper":[1,5,49,200,338,389],"is":[2,41,185,192,253,267,273],"the":[3,7,38,48,67,71,74,78,82,147,179,199,222,227,241,285,292,320,334,340,372,401,407,414],"generation":[4,343,424],"of":[6,54,73,196,230,245,284,316,323,345,381,404,410,417],"Dissipative":[8],"Numeral":[9],"System":[10],"(DNS)":[11],"series.":[12,336],"It":[13,204,368],"constructs":[14],"a":[15,28,33,103,107,111,258,268,298],"finite,":[16],"deterministic,":[17],"traceable":[18],"nested-spring":[19],"prototype":[20],"in":[21,329,333,392],"which":[22],"DNS":[23,55,215,231,335,346],"ledgers":[24,168],"are":[25,288,295,311,326,390,420,429],"projected":[26],"into":[27,43,57],"geometric":[29,139,170],"point":[30],"sequence":[31,40],"through":[32],"fixed":[34],"example":[35,174,189,287],"mapping,":[36],"and":[37,77,92,100,110,119,127,154,272,307,319,342,351,361,413,426],"resulting":[39],"translated":[42],"classical":[44,162,180,209],"recursive-spring":[45],"parameters.":[46],"What":[47,198],"establishes.":[50],"A":[51,84,141,157,303],"level-wise":[52],"classification":[53],"cost":[56,69,80,224,229],"(advance":[58],"cost,":[59],"curvature":[60,79],"cost)_n":[61],"at":[62],"each":[63,387],"level":[64],"n,":[65],"where":[66],"advance":[68],"plays":[70],"role":[72],"helix":[75],"lead":[76],"governs":[81],"turn.":[83],"structured":[85],"zero":[86],"\u229a":[87],"with":[88,106,124,131,151,161,386],"non-cancellable":[89],"direction":[90,95,270],"markers":[91,96],"chirality:":[93],"opposite":[94],"do":[97],"not":[98,193,202,206,219,236,370],"cancel,":[99],"mirroring":[101],"yields":[102],"distinct":[104],"object":[105],"new":[108],"ID":[109],"preserved":[112],"source":[113],"ID.":[114],"An":[115],"encapsulation":[116],"operator":[117,122],"E":[118],"an":[120,132,173,188,194,254],"envelope":[121],"W":[123],"explicit":[125,152,255],"cylinder":[126],"planar":[128],"branches,":[129],"together":[130],"operational":[133],"closure":[134,144],"test":[135],"separated":[136],"ontologically":[137],"from":[138,214],"closure.":[140],"discrete":[142,300,423],"first\u2013last":[143],"condition":[145],"for":[146,261,297],"equal-step":[148],"equal-turn":[149],"case,":[150],"degenerate":[153],"non-coprime":[155],"examples.":[156],"two-tier":[158,408],"translation":[159,184,409],"interface":[160],"recursive":[163],"springs:":[164],"Tier":[165,176],"1":[166],"maps":[167],"to":[169,226,275,358,431],"parameters":[171],"by":[172,290],"mapping;":[175],"2":[177],"uses":[178],"spring":[181,210],"parametrization.":[182],"The":[183,248,280,313,398,422],"exact":[186],"as":[187],"correspondence,":[190],"but":[191],"equivalence":[195],"theories.":[197],"does":[201,205,218,235,369],"establish.":[203],"claim":[207,220,237],"that":[208,221,238],"geometry":[211],"necessarily":[212],"follows":[213],"rules;":[216],"it":[217,234,262],"dual-axis":[223],"reduces":[225],"scalar":[228],"Paper":[232,246,347,352,363,382],"0;":[233],"\u229a^(n)":[239],"exhausts":[240],"structured-zero":[242,341],"class":[243],"0_(n)":[244],"0.":[247],"cluster":[249],"curvature-cost":[250],"component":[251],"\u03ba_\u03b1":[252],"caller":[256],"input;":[257],"generative":[259],"mechanism":[260],"(curvature":[263],"sedimentation":[264],"or":[265,378],"otherwise)":[266],"candidate":[269],"only":[271],"left":[274,430],"future":[276,299,432],"work.":[277],"Verification":[278],"model.":[279],"eleven":[281],"assertion":[282],"rows":[283],"worked":[286],"verified":[289],"hand;":[291],"program-side":[293,427],"forms":[294],"specifications":[296],"implementation":[301,425],"(E.2b).":[302,434],"continuous-limit":[304,415],"visualization":[305,416],"script":[306],"its":[308],"run":[309,321],"output":[310,322],"included.":[312],"freeze":[314],"checklist":[315],"Appendix":[317,324,393,405,411,418],"D.9":[318],"E.3":[325],"both":[327],"complete":[328],"this":[330],"version.":[331],"Position":[332],"consumes":[339],"principles":[344],"0":[348],"(Axiomatic":[349],"Foundations)":[350],"0.5":[353],"(Structural":[354],"Zeros:":[355],"From":[356],"Label":[357],"Generative":[359],"Skeleton),":[360],"precedes":[362],"II":[364,383],"(The":[365],"Decomposition":[366],"Operator).":[367],"consume":[371],"decomposition,":[373],"geometry,":[374],"dynamics,":[375],"multi-dimensional,":[376],"differential,":[377],"probabilistic":[379],"content":[380],"onward.":[384],"Boundaries":[385],"later":[388],"stated":[391],"C.4.":[394],"Status.":[395],"Version":[396],"1.0.":[397],"theoretical":[399],"layer,":[400],"hand":[402],"calculation":[403],"D,":[406],"F,":[412],"E.2a":[419],"complete.":[421],"verification":[428],"work":[433]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-11-06T00:00:00"}
