{"id":"https://openalex.org/W7225128122","doi":"https://doi.org/10.5281/zenodo.23879275","title":"Foundations of Field Dynamics (UEF) \u2014 Paper 1: Quantum Reduction, Soliton Topology, and Cosserat Continuum Dynamics: Deterministic Derivation of Wave Mechanics, Spinor Fields, and Quantization Invariants","display_name":"Foundations of Field Dynamics (UEF) \u2014 Paper 1: Quantum Reduction, Soliton Topology, and Cosserat Continuum Dynamics: Deterministic Derivation of Wave Mechanics, Spinor Fields, and Quantization Invariants","publication_year":2026,"publication_date":"2026-11-02","ids":{"openalex":"https://openalex.org/W7225128122","doi":"https://doi.org/10.5281/zenodo.23879275"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23879275","doi":"https://doi.org/10.5281/zenodo.23879275","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23879275","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.23879275","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160060325","display_name":"Nataliia Zotalieva","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Zotalieva, Nataliia","raw_affiliation_strings":["Independent Researcher"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Independent Researcher","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160060325"],"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":0.4771000146865845,"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":0.4771000146865845,"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":0.18209999799728394,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.17090000212192535,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-reduction","display_name":"quantum reduction","score":0.7279999852180481},{"id":"https://openalex.org/keywords/cosserat-continuum","display_name":"Cosserat continuum","score":0.8059999942779541},{"id":"https://openalex.org/keywords/topological-solitons","display_name":"topological solitons","score":0.9610000252723694},{"id":"https://openalex.org/keywords/hopf-fibration","display_name":"Hopf fibration","score":0.8650000095367432},{"id":"https://openalex.org/keywords/wave-particle-duality","display_name":"wave-particle duality","score":0.9049999713897705},{"id":"https://openalex.org/keywords/madelung-transformation","display_name":"Madelung transformation","score":0.9610000252723694},{"id":"https://openalex.org/keywords/schrodinger-equation","display_name":"Schr\u00f6dinger equation","score":0.7879999876022339},{"id":"https://openalex.org/keywords/weyl-equation","display_name":"Weyl equation","score":0.8100000023841858},{"id":"https://openalex.org/keywords/lande-g-factor","display_name":"Land\u00e9 g-factor","score":0.7200000286102295},{"id":"https://openalex.org/keywords/effective-mass-density","display_name":"effective mass density","score":0.6140000224113464},{"id":"https://openalex.org/keywords/shear-waves","display_name":"shear waves","score":0.5580000281333923},{"id":"https://openalex.org/keywords/heisenberg-uncertainty-principle","display_name":"uncertainty principle","score":0.7870000004768372},{"id":"https://openalex.org/keywords/deterministic-quantum-mechanics","display_name":"deterministic quantum mechanics","score":0.44200000166893005}],"concepts":[{"id":"https://openalex.org/C106978608","wikidata":"https://www.wikidata.org/wiki/Q1412691","display_name":"Wave packet","level":2,"score":0.5845000147819519},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5196999907493591},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5146999955177307},{"id":"https://openalex.org/C43506125","wikidata":"https://www.wikidata.org/wiki/Q604907","display_name":"Spinor","level":2,"score":0.41040000319480896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4016999900341034},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3799000084400177},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3686000108718872},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.33899998664855957},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.3328000009059906},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.33090001344680786},{"id":"https://openalex.org/C59696629","wikidata":"https://www.wikidata.org/wiki/Q193846","display_name":"Wave equation","level":2,"score":0.3154999911785126},{"id":"https://openalex.org/C87651913","wikidata":"https://www.wikidata.org/wiki/Q464949","display_name":"Soliton","level":3,"score":0.30070000886917114},{"id":"https://openalex.org/C158913796","wikidata":"https://www.wikidata.org/wiki/Q5961083","display_name":"Canonical quantization","level":4,"score":0.295199990272522},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C2778014389","wikidata":"https://www.wikidata.org/wiki/Q7310826","display_name":"Relativistic dynamics","level":2,"score":0.2842000126838684},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.28380000591278076},{"id":"https://openalex.org/C82601208","wikidata":"https://www.wikidata.org/wiki/Q272621","display_name":"Dirac equation","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27149999141693115},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C181543814","wikidata":"https://www.wikidata.org/wiki/Q44746","display_name":"Uncertainty principle","level":3,"score":0.2712000012397766},{"id":"https://openalex.org/C2779863119","wikidata":"https://www.wikidata.org/wiki/Q6423048","display_name":"Knot (papermaking)","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C190047474","wikidata":"https://www.wikidata.org/wiki/Q842189","display_name":"Wave function collapse","level":5,"score":0.26820001006126404},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.26739999651908875},{"id":"https://openalex.org/C20422478","wikidata":"https://www.wikidata.org/wiki/Q2564682","display_name":"Kepler problem","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.259799987077713},{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.2558000087738037},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.2549999952316284},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.2542000114917755},{"id":"https://openalex.org/C17269025","wikidata":"https://www.wikidata.org/wiki/Q3283","display_name":"Geometric phase","level":2,"score":0.2506999969482422},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.25}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.5281/zenodo.23879275","doi":"https://doi.org/10.5281/zenodo.23879275","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23879275","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.23879276","doi":"https://doi.org/10.5281/zenodo.23879276","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23879276","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.23890273","doi":"https://doi.org/10.5281/zenodo.23890273","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23890273","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.23915522","doi":"https://doi.org/10.5281/zenodo.23915522","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23915522","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.23916149","doi":"https://doi.org/10.5281/zenodo.23916149","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23916149","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.23879275","doi":"https://doi.org/10.5281/zenodo.23879275","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23879275","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/W7131834039","https://openalex.org/W7168408519","https://openalex.org/W7154631003","https://openalex.org/W2559423965","https://openalex.org/W7134815553","https://openalex.org/W2118466805","https://openalex.org/W7133314043","https://openalex.org/W7155362982","https://openalex.org/W7169657735","https://openalex.org/W7117559640"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"presents":[3],"a":[4,27],"deterministic":[5],"geometric":[6],"reconstruction":[7],"of":[8,18,88,217,219],"wave":[9,150,250],"mechanics":[10,17],"and":[11,50,69,104,255],"spinor":[12],"fields":[13],"from":[14,84,167,212],"the":[15,70,85,89,137,148,213,220,244,248,256],"continuum":[16,31,222],"an":[19],"underlying":[20],"elastic":[21],"substrate.":[22],"Space":[23],"is":[24,130,140,186,210,241],"identified":[25],"as":[26,243],"quasi-incompressible":[28],"micropolar":[29],"Cosserat":[30,221],"with":[32,192],"reference":[33],"density":[34],"\u03c10":[35],"\u2248":[36,45,58,74,102,110,114,122,133],"4.30":[37],"\u00d7":[38,47],"1018":[39],"kg/m3":[40],",":[41],"shear":[42],"modulus":[43],"\u00b50":[44],"3.865":[46],"1035":[48],"Pa,":[49],"transverse":[51],"propagation":[52],"velocity":[53,106],"c":[54,112],"=":[55,98,108,145,154,174,195,232,239,253,262],"p":[56],"\u00b50/\u03c10":[57],"2.998\u00d7108":[59],"m/s.":[60],"We":[61],"demonstrate":[62],"that:":[63],"(1)":[64],"The":[65,126,160,206,235],"electron":[66,127],"mass":[67,71],"me":[68],"ratio":[72,96,246],"mp/me":[73],"1822.4":[75],"(0.75%":[76],"divergence":[77],"relative":[78],"to":[79,117,188],"CODATA":[80],"1836.15)":[81],"are":[82],"reconstructed":[83],"topological":[86,257],"cleavage":[87],"primordial":[90],"C3-symmetric":[91],"tri-blade":[92],"neutron":[93],"at":[94,143],"volume":[95],"Vp/Ve":[97],"2":[99,177,180,183,198,201,231,240],"+":[100],"\u03b1p":[101],"2.3023":[103],"detachment":[105],"vsever":[107],"3c/\u039b":[109],"0.2989":[111],"(\u03b1e":[113],"239.3),":[115],"relaxing":[116],"equilibrium":[118],"core":[119,128],"speed":[120],"ve":[121],"0.197":[123],"c.":[124],"(2)":[125],"radius":[129],"nuclear-sized":[131],"(Rcore":[132],"3":[134],"4Rp),":[135],"while":[136],"macroscopic":[138],"envelope":[139],"dynamically":[141],"stabilized":[142],"Re":[144],"\u03bb\u00afC":[146],"by":[147,224],"centrifugal":[149],"momentum":[151,251],"barrier":[152],"L":[153],"\u00afh,":[155],"halting":[156],"Derrick":[157],"collapse.":[158],"(3)":[159],"Schr\u00f6dinger":[161],"equation":[162],"emerges":[163],"without":[164],"quantum":[165],"postulates":[166],"Madelung":[168],"hydrodynamics,":[169],"where":[170],"Bohm\u2019s":[171],"potential":[172],"QBohm":[173],"\u2212":[175,230],"\u00af":[176,196],"h":[178,197],"m":[179,200],"e":[181,202],"\u2207":[182],"R":[184,185],"identical":[187],"Korteweg":[189],"capillary-gradient":[190],"stresses":[191],"coefficient":[193],"\u03ba":[194],"4":[199],"\u03c1":[203],".":[204],"(4)":[205],"4-component":[207],"Dirac":[208],"bispinor":[209],"reduced":[211],"six":[214],"mechanical":[215],"degrees":[216],"freedom":[218],"constrained":[223],"two":[225],"solenoidal":[226],"incompressibility":[227],"conditions":[228],"(6":[229],"4).":[233],"(5)":[234],"Land\u00e9":[236],"factor":[237],"g":[238],"proven":[242],"kinematic":[245],"between":[247],"orbital":[249],"(L":[252],"\u00afh)":[254],"Hopf":[258],"linking":[259],"spin":[260],"(S":[261],"\u00afh/2).":[263]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-11-03T00:00:00"}
