{"id":"https://openalex.org/W7224770076","doi":"https://doi.org/10.5281/zenodo.22777353","title":"The Ultimaton Geon \u2013 Entropium Qudit Diapente Bridge","display_name":"The Ultimaton Geon \u2013 Entropium Qudit Diapente Bridge","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224770076","doi":"https://doi.org/10.5281/zenodo.22777353"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.22777353","doi":"https://doi.org/10.5281/zenodo.22777353","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22777353","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.22777353","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134638438","display_name":"David Noel Lynch","orcid":"https://orcid.org/0009-0003-8607-136X","observed_orcids":["https://orcid.org/0009-0003-8607-136X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lynch, David","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0003-8607-136X","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5134638438"],"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.7832000255584717,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.7832000255584717,"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/T11683","display_name":"Quantum and Classical Electrodynamics","score":0.0794999971985817,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.0681999996304512,"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/topological-solitons","display_name":"topological solitons","score":0.8349999785423279},{"id":"https://openalex.org/keywords/geometrodynamics","display_name":"geometrodynamics","score":0.781000018119812},{"id":"https://openalex.org/keywords/qudits","display_name":"qudits","score":0.7770000100135803},{"id":"https://openalex.org/keywords/quantum-information-networks","display_name":"quantum information networks","score":0.7680000066757202},{"id":"https://openalex.org/keywords/trefoil-knot","display_name":"trefoil knot","score":0.6830000281333923},{"id":"https://openalex.org/keywords/clifford-torus","display_name":"Clifford torus","score":0.9760000109672546},{"id":"https://openalex.org/keywords/ropelength","display_name":"ropelength","score":0.7260000109672546},{"id":"https://openalex.org/keywords/entanglement","display_name":"entanglement","score":0.5389999747276306},{"id":"https://openalex.org/keywords/link-types","display_name":"link types","score":0.32199999690055847},{"id":"https://openalex.org/keywords/standard-model-gauge-group","display_name":"Standard Model gauge group","score":0.746999979019165},{"id":"https://openalex.org/keywords/cosmological-constant","display_name":"cosmological constant","score":0.3619999885559082},{"id":"https://openalex.org/keywords/dark-energy","display_name":"dark energy","score":0.30799999833106995},{"id":"https://openalex.org/keywords/dark-matter","display_name":"dark matter","score":0.5289999842643738}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6080999970436096},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4970000088214874},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.44920000433921814},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.38690000772476196},{"id":"https://openalex.org/C99564226","wikidata":"https://www.wikidata.org/wiki/Q505628","display_name":"Hyperboloid","level":2,"score":0.3824999928474426},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3792000114917755},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.37439998984336853},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3709999918937683},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.3709999918937683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36250001192092896},{"id":"https://openalex.org/C206352148","wikidata":"https://www.wikidata.org/wiki/Q209306","display_name":"Hyperbolic geometry","level":3,"score":0.36250001192092896},{"id":"https://openalex.org/C19794929","wikidata":"https://www.wikidata.org/wiki/Q168620","display_name":"Trefoil knot","level":4,"score":0.3580999970436096},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3537999987602234},{"id":"https://openalex.org/C130187892","wikidata":"https://www.wikidata.org/wiki/Q133327","display_name":"Spacetime","level":2,"score":0.33799999952316284},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3310000002384186},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.32850000262260437},{"id":"https://openalex.org/C32518243","wikidata":"https://www.wikidata.org/wiki/Q907926","display_name":"Holonomy","level":2,"score":0.3222000002861023},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.30730000138282776},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3010999858379364},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.28369998931884766},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.2800999879837036},{"id":"https://openalex.org/C143330242","wikidata":"https://www.wikidata.org/wiki/Q849798","display_name":"Knot theory","level":3,"score":0.2782999873161316},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.271699994802475},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C49987212","wikidata":"https://www.wikidata.org/wiki/Q33198","display_name":"String theory","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C110367647","wikidata":"https://www.wikidata.org/wiki/Q497166","display_name":"Metamaterial","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C185362025","wikidata":"https://www.wikidata.org/wiki/Q177409","display_name":"Projective geometry","level":3,"score":0.25609999895095825}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.22777353","doi":"https://doi.org/10.5281/zenodo.22777353","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22777353","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.22777354","doi":"https://doi.org/10.5281/zenodo.22777354","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22777354","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.22777353","doi":"https://doi.org/10.5281/zenodo.22777353","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.22777353","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/W7172122261","https://openalex.org/W7201921627","https://openalex.org/W4410249237","https://openalex.org/W7078397616","https://openalex.org/W6968607008","https://openalex.org/W7154592898","https://openalex.org/W6949415583","https://openalex.org/W7128914887","https://openalex.org/W7104046938","https://openalex.org/W7210292662"],"abstract_inverted_index":{"*The":[0],"Ultimaton":[1,126,693],"Geon":[2,127],"\u2013":[3],"Entropium":[4,219,405,695],"Qudit":[5,220,696,725],"Diapente":[6,310,423,691,718],"Bridge:":[7],"Unifying":[8],"Continuous":[9],"Topological":[10,707],"Soliton":[11],"Geometrodynamics":[12],"with":[13,64,297,678],"Discrete":[14],"Relational":[15],"Quantum":[16,704],"Information":[17,705],"Networks":[18],"into":[19,336,474],"an":[20,167,178,448,620],"Exact,":[21],"Parameter-Free":[22],"Electrodynamic":[23],"Aperture*":[24],"represents":[25],"a":[26,72,158,229,409,649],"complete":[27],"theoretical":[28,32],"synthesis":[29],"of":[30,89,96,111,119,149,185,242,306,351,403,451,575,593,652],"modern":[31],"physics,":[33],"bridging":[34],"the":[35,65,85,92,105,112,120,133,146,193,207,253,256,265,282,302,307,322,352,374,392,398,404,415,421,430,464,481,493,516,534,555,562,576,625],"century-old":[36],"conceptual":[37],"schism":[38],"between":[39,565,640],"John":[40],"Archibald":[41],"Wheeler\u2019s":[42],"1955":[43],"continuous":[44,86,327,393,535],"*Geometrodynamics*":[45],"(the":[46,609],"Geon)":[47],"and":[48,69,91,108,270,420,454,560,568,613,643,665,673,683],"his":[49],"1989":[50],"*\u201cIt":[51],"from":[52,228],"Bit\u201d*":[53],"quantum-information":[54],"paradigm.":[55],"Authored":[56],"by":[57,206,249,414,511,604],"**David":[58],"Noel":[59],"Lynch":[60],"(KnoWell)**":[61],"in":[62,488,573,676],"collaboration":[63],"**~3K":[66],"Cosmological":[67],"Foundry**":[68],"master-validated":[70],"through":[71,397],"dual-kernel":[73],"**Lean":[74],"4":[75,657,779],"Interactive":[76],"Theorem":[77,780],"Prover**":[78],"formalization":[79,670],"protocol,":[80],"this":[81,186,509],"treatise":[82,134],"establishes":[83],"that":[84,623],"manifold":[87],"topology":[88],"spacetime":[90],"discrete":[93,337],"relational":[94],"algebra":[95,467],"quantum":[97,196,231,338],"information":[98,232],"networks":[99],"are":[100],"not":[101],"competing":[102],"models,":[103],"but":[104,236],"exact":[106,517],"Interior":[107,123],"Exterior":[109,216],"poles":[110],"same":[113],"physical":[114],"reality.":[115],"####":[116],"Core":[117],"Architecture":[118],"Treatise1.":[121],"**The":[122,215,309,381],"Pole":[124,217,767],"(The":[125,218,384],"Soliton):**":[128],"Banning":[129],"bare":[130],"point-masses":[131],"entirely,":[132],"models":[135],"fundamental":[136,349,431],"particles":[137],"as":[138,301,321,619],"non-dispersive,":[139],"self-closing":[140],"electromagnetic":[141],"standing":[142],"waves":[143,647],"propagating":[144],"at":[145,192],"invariant":[147,211],"speed":[148],"light":[150],"($v":[151],"=":[152,164,198,365,379,426,435,439,498,513,522,530,539,549,630],"c,":[153],"d\\tau":[154],"\\equiv":[155,600],"0$)":[156,601],"along":[157],"$(3,2)$":[159],"trefoil":[160,209,353],"knot":[161,354],"trajectory":[162],"($\\mathcal{L}":[163],"\\pi\\sqrt{26}$)":[165],"on":[166],"intrinsically":[168],"flat":[169],"symmetric":[170],"Clifford":[171,709],"torus":[172],"($T^2_{\\text{Cliff}}":[173],"\\subset":[174],"S^3$)":[175],"embedded":[176],"within":[177],"Epstein-Fermat":[179],"optical":[180,459],"metric.":[181],"The":[182,222,274,315,348,388,443,457,586,589,632,659],"internal":[183],"impedance":[184],"self-confined":[187],"topological":[188],"waveguide":[189],"is":[190,204,226,602,663],"fixed":[191,606],"von":[194],"Klitzing":[195],"$R_K":[197],"h/e^2$,":[199],"while":[200],"its":[201,369],"electrostatic":[202],"capacity":[203],"governed":[205],"universal":[208,323],"ropelength":[210],"$\\lambda(3_1)":[212],"\\approx":[213,441,506],"32.7438$.2.":[214],"Foam):**":[221],"background-independent":[223],"exterior":[224],"realm":[225],"constructed":[227],"parameter-free":[230],"axiom:":[233],"*nothing":[234],"exists":[235],"finitely":[237],"many":[238],"maximally":[239],"entangled":[240],"pairs":[241],"qudits,":[243],"some":[244],"qudits":[245],"shared,":[246],"known":[247],"only":[248],"distilling":[250],"them.*":[251],"Through":[252],"St\u00f8rmer\u2013Woronowicz\u2013Choi":[254],"theorem,":[255],"\"Read":[257],"Cap\"":[258],"($d_1":[259],"d_2":[260],"\\le":[261],"6$)":[262],"rigorously":[263],"restricts":[264],"readable":[266,277],"universe":[267],"to":[268,373,492],"$(2,2)$":[269],"$(2,3)$":[271,279],"link":[272,278],"types.":[273],"unique":[275],"asymmetric":[276],"naturally":[280],"induces":[281],"unbroken":[283],"Standard":[284,728],"Model":[285,729],"gauge":[286],"group":[287,350],"$S(\\mathrm{U}(3)":[288],"\\times":[289,293,295,758],"\\mathrm{U}(2))":[290],"\\cong":[291,359],"\\mathrm{SU}(3)":[292],"\\mathrm{SU}(2)":[294],"\\mathrm{U}(1)/\\mathbb{Z}_6$,":[296],"weak":[298,346,375],"hypercharge":[299,376],"identified":[300],"non-zero":[303],"central":[304,370],"commutator":[305],"link.3.":[308],"Harmonic":[311],"Rosetta":[312],"Stone":[313],"($3:2$):**":[314],"Pythagorean":[316,717],"perfect":[317],"fifth":[318],"($3:2$)":[319],"serves":[320],"gear":[324],"ratio":[325],"translating":[326],"spatial":[328],"winding":[329],"($p=3$":[330],"meridional":[331],"oscillations,":[332],"$q=2$":[333],"longitudinal":[334],"turns)":[335],"states":[339],"($d_1=3$":[340],"qutrit":[341],"color":[342],"charge,":[343],"$d_2=2$":[344],"qubit":[345],"isospin).":[347],"complement":[355],"$\\pi_1(S^3":[356],"\\setminus":[357],"3_1)":[358],"\\langle":[360],"x,":[361],"y":[362],"\\mid":[363],"x^2":[364],"y^3":[366],"\\rangle$":[367],"maps":[368],"element":[371],"directly":[372],"generator":[377],"$Q":[378],"6iY$.4.":[380],"Transduction":[382],"Interface":[383],"Cairo":[385,400,732],"Q-Lattice":[386],"&":[387,585],"KnoWellian":[389,735],"Offset):**":[390],"As":[391],"geon":[394],"vortex":[395],"sweeps":[396],"space-filling":[399],"pentagonal":[401],"Q-lattice":[402],"foam,":[406],"it":[407],"experiences":[408],"metric":[410],"shear":[411],"deficit":[412],"driven":[413],"irrational":[416],"Golden":[417,738],"Ratio":[418,739],"$\\Phi$":[419],"rational":[422],"core":[424],"$\\mathcal{D}":[425],"1.5$.":[427],"This":[428,532],"generates":[429],"**KnoWellian":[432],"Offset**":[433],"$\\varepsilon_{KW}":[434],"\\Phi":[436],"-":[437,545,547],"1.5":[438],"(\\sqrt{5}-2)/2":[440],"0.118034$.":[442],"resulting":[444],"hydrodynamic":[445],"wake":[446],"excites":[447],"irreducible":[449],"configuration":[450],"3":[452],"qutrits":[453],"2":[455],"qubits.":[456],"two-point":[458,605],"readout":[460],"operator":[461],"evaluated":[462],"across":[463,595,667],"31,104-dimensional":[465],"bi-local":[466],"$\\mathcal{R}$":[468],"yields":[469,515],"**172":[470],"measurement":[471],"records**":[472],"partitioned":[473],"four":[475],"orthogonal":[476],"exchange":[477],"parity":[478],"sectors":[479],"under":[480],"$(X,":[482],"Y)$":[483],"involutions.":[484],"Their":[485],"amplitude":[486],"weights":[487],"$\\mathbb{Q}(\\sqrt{2},":[489],"\\sqrt{3})$":[490],"sum":[491],"un-normalized":[494],"trace:":[495],"$$\\operatorname{tr}_{\\mathcal{R}}":[496],"M":[497],"79(1)":[499],"+":[500,502,504,524,526,528,541,543],"48\\sqrt{2}":[501,525],"42\\sqrt{3}":[503,527],"3\\sqrt{6}":[505],"226.976861$$":[507],"Normalizing":[508],"trace":[510],"$N":[512],"31,104$":[514],"inverse":[518],"fine-structure":[519],"constant:":[520],"$$\\alpha^{-1}_{\\text{discrete}}":[521],"\\frac{31104}{79":[523],"3\\sqrt{6}}":[529],"\\mathbf{137.035999189566...}$$":[531],"matches":[533],"geometric":[536,650],"expansion:":[537],"$$\\alpha^{-1}_{\\text{continuous}}":[538],"\\pi\\left(4\\pi^2":[540],"\\pi":[542],"1\\right)":[544],"\\frac{1}{4\\pi\\lambda(3_1)}\\left(\\frac{\\varepsilon_{KW}}{\\mathcal{D}}\\right)":[546],"\\frac{\\alpha_0^2}{2\\pi}":[548],"\\mathbf{137.035999206...}$$":[550],"Both":[551],"formulations":[552],"converge":[553],"upon":[554],"CODATA":[556],"2022":[557],"recommended":[558],"value":[559],"resolve":[561],"$5.3\\sigma$":[563],"tension":[564],"Berkeley":[566],"Cesium":[567],"Paris":[569],"Rubidium":[570,578],"atom-recoil":[571],"experiments":[572],"favor":[574],"**Paris":[577],"/":[579],"Harvard":[580],"$g-2$":[581],"consensus**.5.":[582],"**Cosmological":[583],"Stability":[584],"Wheeler-Feynman":[587,769],"Vice:**":[588],"absolute":[590],"temporal":[591],"stability":[592],"$\\alpha$":[594],"13.8":[596],"billion":[597],"years":[598],"($\\dot{\\alpha}/\\alpha":[599],"guaranteed":[603],"boundary":[607],"conditions":[608],"Alpha":[610],"Big":[611,615],"Bang":[612],"Omega":[614],"Crunch":[616],"singularities)":[617],"acting":[618],"absorber":[621],"vice":[622],"locks":[624],"action":[626],"functional":[627],"$\\delta":[628],"\\mathcal{S}_{\\text{universe}}":[629],"0$.":[631],"$720^\\circ$":[633,772],"($4\\pi$)":[634],"double-cover":[635],"required":[636],"for":[637],"constructive":[638],"interference":[639],"retarded":[641],"($+t$)":[642],"advanced":[644],"($-t$)":[645],"null":[646],"provides":[648],"derivation":[651],"**fermionic":[653],"spin-$1/2$**.6.":[654],"**Machine-Checked":[655],"Lean":[656,778],"Formalization:**":[658],"entire":[660],"proof":[661],"architecture":[662],"type-checked":[664],"kernel-verified":[666],"two":[668],"independent":[669],"engines":[671],"(`ChainAlpha.lean`":[672],"`KnoWellianGeon.lean`),":[674],"synthesized":[675],"`DiapenteBridge.lean`":[677],"zero":[679,684],"unproven":[680],"`sorry`":[681],"statements":[682],"non-standard":[685],"axioms.":[686],"---":[687],"###":[688],"Keyword":[689],"List":[690],"Bridge,":[692],"Geon,":[694],"Foam,":[697],"Fine-Structure":[698],"Constant":[699],"($\\alpha$),":[700],"Wheelerian":[701],"Schism,":[702],"Geometrodynamics,":[703],"Networks,":[706],"Soliton,":[708],"Torus,":[710],"Epstein":[711],"Optical":[712],"Metric,":[713],"Trefoil":[714],"Knot":[715],"($3_1$),":[716],"($3:2$),":[719],"St\u00f8rmer-Woronowicz-Choi":[720],"Theorem,":[721],"Read":[722],"Cap,":[723],"Bipartite":[724],"Link":[726],"$(3,2)$,":[727],"Gauge":[730],"Group,":[731],"Pentagonal":[733],"Q-Lattice,":[734],"Offset":[736],"($\\varepsilon_{KW}$),":[737],"($\\Phi$),":[740],"172":[741],"Measurement":[742],"Records,":[743],"Bi-Local":[744],"Readout":[745],"Algebra":[746],"($N=31104$),":[747],"Eddington-Wyler":[748],"Matrix":[749],"Isomorphism,":[750],"Cartan":[751],"Bounded":[752],"Domain":[753],"($\\mathcal{D}_5$),":[754],"Shilov":[755],"Boundary":[756,764],"($S^4":[757],"S^1$),":[759],"Ropelength":[760],"Invariant":[761],"($\\lambda$),":[762],"Dirichlet":[763],"Problem,":[765],"Landau":[766],"Eradication,":[768],"Absorber":[770],"Theory,":[771],"Spinor":[773],"Double-Cover,":[774],"Fermionic":[775],"Spin":[776],"($s=1/2$),":[777],"Prover,":[781],"Formal":[782],"Verification":[783]},"counts_by_year":[],"updated_date":"2026-11-01T11:40:01.658920","created_date":"2026-10-31T00:00:00"}
