{"id":"https://openalex.org/W7204129763","doi":"https://doi.org/10.5281/zenodo.22073542","title":"Panspatial Biogenesis: From FCHP Life-Admissible Geometry to the First Living Closure Geometric Individuation, and the Recursive Transition to Life","display_name":"Panspatial Biogenesis: From FCHP Life-Admissible Geometry to the First Living Closure Geometric Individuation, and the Recursive Transition to Life","publication_year":2026,"publication_date":"2026-08-24","ids":{"openalex":"https://openalex.org/W7204129763","doi":"https://doi.org/10.5281/zenodo.22073542"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22073542","doi":"https://doi.org/10.5281/zenodo.22073542","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22073542","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.22073542","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5130622228","display_name":"Philip Lilien","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lilien, Philip","raw_affiliation_strings":["UCTE FOUNDATION"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCTE FOUNDATION","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5130622228"],"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/T11445","display_name":"Origins and Evolution of Life","score":0.9794999957084656,"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/T11445","display_name":"Origins and Evolution of Life","score":0.9794999957084656,"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/T14299","display_name":"Complex Systems and Dynamics","score":0.014100000262260437,"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/T13811","display_name":"Earth Systems and Cosmic Evolution","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/origin-of-life","display_name":"origin of life","score":0.8019999861717224},{"id":"https://openalex.org/keywords/recursive-closure","display_name":"recursive closure","score":0.6439999938011169},{"id":"https://openalex.org/keywords/boundary-equations","display_name":"boundary equations","score":0.574999988079071},{"id":"https://openalex.org/keywords/coherence-gradients","display_name":"coherence gradients","score":0.597000002861023},{"id":"https://openalex.org/keywords/astrobiology","display_name":"astrobiology","score":0.5400000214576721},{"id":"https://openalex.org/keywords/falsifiability","display_name":"falsifiability","score":0.6959999799728394}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7102000117301941},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5834000110626221},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.5501999855041504},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3952000141143799},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.391400009393692},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.35929998755455017},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.3425999879837036},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.3361000120639801},{"id":"https://openalex.org/C2779148493","wikidata":"https://www.wikidata.org/wiki/Q681449","display_name":"Individuation","level":2,"score":0.3215999901294708},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31299999356269836},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.30730000138282776},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3043999969959259},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.29750001430511475},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2711000144481659},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.26489999890327454},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C32209215","wikidata":"https://www.wikidata.org/wiki/Q5535483","display_name":"Geometric flow","level":3,"score":0.2583000063896179},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.2583000063896179},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.25459998846054077}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22073542","doi":"https://doi.org/10.5281/zenodo.22073542","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22073542","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":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.22073543","doi":"https://doi.org/10.5281/zenodo.22073543","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22073543","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.22073542","doi":"https://doi.org/10.5281/zenodo.22073542","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22073542","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":[],"sustainable_development_goals_aurora":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.6061906218528748}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,10,20,169,229,306,327,454,502,534],"Problem":[1],"Before":[2],"Abiogenesis":[3],"2.":[4],"FCHP":[5,461],"as":[6,24,94,155,236,272,287,516],"Life-Admissible":[7],"Geometry":[8],"3.":[9],"Genesis-Admissible":[11],"Sector":[12],"4.":[13],"Difference,":[14],"Localization,":[15],"and":[16,37,43,59,66,72,78,84,90,110,115,121,131,136,141,147,181,200,222,248,275,303,336,357,441,469,527,544,558],"Geometric":[17],"Individuation":[18],"5.":[19],"Universal":[21,231],"Boundary":[22,82,232],"Equation":[23,145,233],"an":[25,341,549],"Identity":[26,31],"Condition":[27],"6.":[28],"Partial":[29,479],"Closure:":[30],"Without":[32],"Isolation":[33],"7.":[34],"Gradient":[35],"Harvesting":[36],"Transformative":[38],"Throughput":[39],"8.":[40],"Recursive":[41,50,486],"Maintenance":[42],"the":[44,60,85,159,310,314,321,401,446,490,495],"First":[45],"Living":[46,57,64,252],"Closure":[47,51,98],"9.":[48],"Why":[49],"Is":[52],"Stronger":[53],"Than":[54],"Order":[55],"10.":[56],"Viability":[58],"Genesis":[61,103,154,394],"Surface":[62],"11.":[63],"Attractors":[65],"Endogenous":[67],"Stability":[68],"12.":[69],"Perturbation,":[70],"Repair,":[71],"Adaptive":[73],"Reclosure":[74],"13.":[75],"Metabiological":[76],"Inertia":[77],"Viability-Basin":[79],"Depth":[80],"14.":[81],"Bifurcation":[83],"Threshold":[86],"\u0393_B":[87],"15.":[88],"Reproduction":[89],"Heredity":[91],"16.":[92],"Evolution":[93],"Exploration":[95],"of":[96,158,194,367,466,494,497],"Viable":[97],"Space":[99],"17.":[100],"From":[101],"Panspatial":[102,153,362,393],"to":[104,125,164,319,407,561],"Mathematical":[105],"Metabiology":[106],"18.":[107],"Substrate":[108],"Realization":[109],"Panspatiality":[111],"19.":[112],"Astrobiological":[113],"Consequences":[114],"Search":[116],"Signatures":[117],"20.":[118],"Predictions,":[119],"Discriminators,":[120],"Falsification":[122],"21.":[123],"Relation":[124],"Existing":[126],"Theoretical":[127],"Traditions":[128],"22.":[129],"Discussion":[130],"ConclusionAppendix":[132],"A.":[133],"Formal":[134],"Symbol":[135],"Definition":[137],"RegistryAppendix":[138,143],"B.":[139],"Proposition":[140],"Claim-Status":[142],"C.":[144],"Dependencies":[146],"Derivational":[148],"ArchitectureReferencesAuthor":[149],"NoteAcknowledgments":[150],"We":[151],"formulate":[152],"a":[156,178,186,215,237,241,255,288,396,429,463,472,523,528,532],"theory":[157],"transition":[160],"from":[161,418],"life-admissible":[162],"geometry":[163,465],"recursively":[165,201],"self-maintaining":[166],"living":[167,223,283,413,536],"closure.":[168],"framework":[170,456],"begins":[171],"with":[172,209,484],"Finsler":[173,375],"Coherence":[174],"Hyperfractal":[175],"Phaspace":[176],"(FCHP),":[177],"proposed":[179,464],"geometric":[180,330],"dynamical":[182],"carrier":[183],"characterized":[184],"by":[185,387,438,563],"coherence":[187,246],"field,":[188],"direction-sensitive":[189],"state":[190],"transitions,":[191],"torsional":[192],"degrees":[193],"freedom,":[195],"chirality,":[196],"finite":[197],"boundary":[198,346,475],"stratification,":[199],"scale-covariant":[202],"organization.":[203,501],"These":[204],"properties":[205],"are":[206],"not":[207,509],"identified":[208],"life":[210,406],"itself.":[211,426],"Rather,":[212],"they":[213],"define":[214],"candidate":[216,281,535],"domain":[217],"in":[218],"which":[219,313],"persistent":[220,249,477,514],"individuation":[221],"organization":[224,253,448],"can":[225,269,520,525,530,559],"become":[226],"dynamically":[227],"admissible.":[228],"inherited":[230],"is":[234,285,384,538],"interpreted":[235],"boundary-identity":[238],"condition,":[239],"representing":[240],"stabilized":[242],"relation":[243],"between":[244],"localized":[245],"gradients":[247,274],"identity-bearing":[250],"boundaries.":[251],"requires":[254,428],"further":[256],"transition.":[257],"An":[258],"individuated":[259],"system":[260,414],"must":[261,400,415,547],"remain":[262,416],"selectively":[263],"open,":[264],"so":[265],"that":[266,434,443,449,553],"environmental":[267],"differences":[268,432],"be":[270,408,521],"maintained":[271,297,348],"usable":[273,296],"transformed":[276],"into":[277],"organized":[278],"throughput.":[279],"A":[280,412,474,518],"minimal":[282],"closure":[284,480,567],"represented":[286],"directed":[289],"causal":[290,551],"architecture":[291,552],"where":[292],"denotes":[293],"functional":[294,359],"boundary,":[295,430,435,540],"gradient,":[298,541],"transformative":[299],"throughput,":[300,351,542],"organizational":[301,371],"identity/information,":[302],"recursive":[304,373,545],"maintenance.":[305],"edge":[307],"set":[308],"contains":[309],"dependencies":[311],"through":[312,556],"system\u2019s":[315,491],"own":[316,499,566],"activity":[317,492],"contributes":[318],"preserving":[320],"conditions":[322],"required":[323],"for":[324,405],"its":[325,419,498,565],"continuation.":[326],"reconstruction":[328],"separates":[329,458],"possibility,":[331],"individuation,":[332],"life,":[333],"reproduction,":[334],"heredity,":[335],"evolution.":[337],"It":[338,427],"also":[339],"defines":[340],"empirical":[342],"program":[343],"centered":[344],"on":[345],"organization,":[347],"gradients,":[349],"regulated":[350],"perturbation-induced":[352],"adaptive":[353],"reclosure,":[354],"viability-basin":[355],"structure,":[356],"cross-substrate":[358],"convergence.":[360],"Keywords:":[361],"Genesis;":[363],"FCHP;":[364],"biogenesis;":[365],"origin":[366],"life;":[368],"partial":[369],"closure;":[370,372],"maintenance;":[374],"geometry;":[376],"coherence;":[377],"protocells;":[378],"astrobiology;":[379],"theoretical":[380],"biology;":[381],"Metabiology.":[382],"Life":[383],"usually":[385],"studied":[386],"asking":[388],"how":[389],"chemistry":[390],"became":[391],"biological.":[392],"asks":[395],"prior":[397],"question:":[398],"what":[399],"physical":[402],"world":[403],"permit":[404],"possible":[409],"at":[410],"all?":[411],"different":[417],"surroundings,":[420],"yet":[421],"it":[422],"cannot":[423],"simply":[424],"isolate":[425],"sustained":[431],"across":[433],"transformations":[436,452],"driven":[437],"those":[439,451],"differences,":[440],"processes":[442],"help":[444],"preserve":[445],"very":[447],"makes":[450,481,489],"possible.":[453],"reconstructed":[455],"therefore":[457],"five":[459],"stages.":[460],"describes":[462],"possibility.":[467],"Difference":[468],"localization":[470],"produce":[471],"boundary.":[473,533],"produces":[476],"identity.":[478,485],"exchange":[482],"compatible":[483],"maintenance":[487,546],"then":[488],"part":[493],"cause":[496],"continued":[500],"simplest":[503],"conceptual":[504],"compression":[505],"is:":[506],"This":[507],"does":[508],"classify":[510],"every":[511],"ordered":[512],"or":[513],"structure":[515],"living.":[517],"crystal":[519],"ordered,":[522],"vortex":[524],"circulate,":[526],"vesicle":[529],"possess":[531],"condition":[537],"stronger:":[539],"identity,":[543],"form":[548],"integrated":[550],"remains":[554],"viable":[555],"time":[557],"respond":[560],"perturbation":[562],"restoring":[564],"relations.":[568]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2026-08-25T00:00:00"}
