{"id":"https://openalex.org/W7224966360","doi":"https://doi.org/10.24108/preprints-3116832","title":"\u0413\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u044f \u043a\u0430\u043a \u043e\u0442\u043a\u043b\u0438\u043a \u0434\u0432\u0443\u0445\u043c\u0430\u0441\u0448\u0442\u0430\u0431\u043d\u043e\u0439 \u043d\u0435\u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0441\u0440\u0435\u0434\u044b","display_name":"\u0413\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u044f \u043a\u0430\u043a \u043e\u0442\u043a\u043b\u0438\u043a \u0434\u0432\u0443\u0445\u043c\u0430\u0441\u0448\u0442\u0430\u0431\u043d\u043e\u0439 \u043d\u0435\u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0441\u0440\u0435\u0434\u044b","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W7224966360","doi":"https://doi.org/10.24108/preprints-3116832"},"language":"ru","primary_location":{"id":"doi:10.24108/preprints-3116832","doi":"https://doi.org/10.24108/preprints-3116832","is_oa":true,"landing_page_url":"https://doi.org/10.24108/preprints-3116832","pdf_url":"https://preprints.ru/files/6327","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://preprints.ru/files/6327","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5160178308","display_name":"Kirill Tropin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"\u041a\u0438\u0440\u0438\u043b\u043b \u0422\u0440\u043e\u043f\u0438\u043d","raw_affiliation_strings":["\u0418\u041f \u0422\u0440\u043e\u043f\u0438\u043d \u041a\u0438\u0440\u0438\u043b\u043b \u0412\u0438\u0442\u0430\u043b\u044c\u0435\u0432\u0438\u0447"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u0418\u041f \u0422\u0440\u043e\u043f\u0438\u043d \u041a\u0438\u0440\u0438\u043b\u043b \u0412\u0438\u0442\u0430\u043b\u044c\u0435\u0432\u0438\u0447","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5160178308"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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":0.9458000063896179,"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":0.9458000063896179,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.03920000046491623,"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/T12220","display_name":"Quantum Electrodynamics and Casimir Effect","score":0.0024999999441206455,"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/gravity","display_name":"gravity","score":0.6800000071525574},{"id":"https://openalex.org/keywords/nonlinear-medium","display_name":"nonlinear media","score":0.7070000171661377},{"id":"https://openalex.org/keywords/disturbance-propagation","display_name":"disturbance propagation","score":0.6330000162124634},{"id":"https://openalex.org/keywords/modified-gravity","display_name":"modified gravity","score":0.7089999914169312},{"id":"https://openalex.org/keywords/general-relativity","display_name":"general relativity","score":0.7680000066757202}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6366000175476074},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.6327000260353088},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5976999998092651},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5134000182151794},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4984000027179718},{"id":"https://openalex.org/C204366326","wikidata":"https://www.wikidata.org/wiki/Q3027650","display_name":"Deformation (meteorology)","level":2,"score":0.47699999809265137},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4620000123977661},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.438400000333786},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.4214000105857849},{"id":"https://openalex.org/C14257148","wikidata":"https://www.wikidata.org/wiki/Q558066","display_name":"Gravitational field","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3635999858379364},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3513999879360199},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.2883000075817108},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28630000352859497},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2854999899864197},{"id":"https://openalex.org/C84482304","wikidata":"https://www.wikidata.org/wiki/Q4383593","display_name":"Gravity current","level":3,"score":0.26420000195503235},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C71976986","wikidata":"https://www.wikidata.org/wiki/Q30006","display_name":"Gravitational acceleration","level":3,"score":0.25780001282691956}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.24108/preprints-3116832","doi":"https://doi.org/10.24108/preprints-3116832","is_oa":true,"landing_page_url":"https://doi.org/10.24108/preprints-3116832","pdf_url":"https://preprints.ru/files/6327","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"doi:10.5281/zenodo.23808268","doi":"https://doi.org/10.5281/zenodo.23808268","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23808268","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.23808269","doi":"https://doi.org/10.5281/zenodo.23808269","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23808269","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:10.24108/preprints-3116832","doi":"https://doi.org/10.24108/preprints-3116832","is_oa":true,"landing_page_url":"https://doi.org/10.24108/preprints-3116832","pdf_url":"https://preprints.ru/files/6327","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224966360.pdf","grobid_xml":"https://content.openalex.org/works/W7224966360.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W28697234","https://openalex.org/W1652269998","https://openalex.org/W1922629554","https://openalex.org/W1967770003","https://openalex.org/W1990148897","https://openalex.org/W2002185357","https://openalex.org/W2008954413","https://openalex.org/W2018370556","https://openalex.org/W2033798500","https://openalex.org/W2051740863","https://openalex.org/W2056173066","https://openalex.org/W2056176316","https://openalex.org/W2057023417","https://openalex.org/W2073603601","https://openalex.org/W2078353411","https://openalex.org/W2087278911","https://openalex.org/W2090386790","https://openalex.org/W2091518971","https://openalex.org/W2118148695","https://openalex.org/W2134837756","https://openalex.org/W2137728742","https://openalex.org/W2146478425","https://openalex.org/W2154120281","https://openalex.org/W2161525754","https://openalex.org/W2162957442","https://openalex.org/W2162982196","https://openalex.org/W2166436681","https://openalex.org/W2464805820","https://openalex.org/W2505405764","https://openalex.org/W2523266658","https://openalex.org/W2735202062","https://openalex.org/W2911350882","https://openalex.org/W2936349953","https://openalex.org/W2942867706","https://openalex.org/W3037613900","https://openalex.org/W3039549652","https://openalex.org/W3124128185","https://openalex.org/W3124183739","https://openalex.org/W3136509481","https://openalex.org/W3159407573","https://openalex.org/W4239838448","https://openalex.org/W4309470525","https://openalex.org/W4390919350","https://openalex.org/W4393933505","https://openalex.org/W4396846573","https://openalex.org/W4405861172","https://openalex.org/W4409994302","https://openalex.org/W4411210983","https://openalex.org/W7131411675","https://openalex.org/W7153414177","https://openalex.org/W7158764851"],"related_works":["https://openalex.org/W7128791884","https://openalex.org/W7165480052","https://openalex.org/W7131207667","https://openalex.org/W7128693818","https://openalex.org/W7107949387","https://openalex.org/W7125608325","https://openalex.org/W7202259737","https://openalex.org/W7104294345","https://openalex.org/W7134011547","https://openalex.org/W6893064283"],"abstract_inverted_index":{"\u0413\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u044f":[0],"\u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442":[1],"\u043f\u0440\u0438\u0442\u044f\u0436\u0435\u043d\u0438\u0435":[2],"\u043c\u0430\u0441\u0441":[3],"\u0438":[4,38,54],"\u0434\u0432\u0438\u0436\u0435\u043d\u0438\u0435":[5],"\u043d\u0435\u0431\u0435\u0441\u043d\u044b\u0445":[6],"\u0442\u0435\u043b,":[7],"\u0430":[8,30],"\u0432":[9],"\u043e\u0431\u0449\u0435\u0439":[10],"\u0442\u0435\u043e\u0440\u0438\u0438":[11],"\u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0441\u0442\u0438":[12],"\u2014":[13,43],"\u0438\u0441\u043a\u0440\u0438\u0432\u043b\u0435\u043d\u0438\u0435":[14],"\u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430-\u0432\u0440\u0435\u043c\u0435\u043d\u0438.":[15],"\u0412":[16],"\u0440\u0430\u0431\u043e\u0442\u0435":[17],"\u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0435\u0442\u0441\u044f":[18],"\u0438\u043d\u043e\u0439":[19],"\u0441\u043f\u043e\u0441\u043e\u0431":[20],"\u043e\u043f\u0438\u0441\u0430\u043d\u0438\u044f":[21],"\u0442\u043e\u0433\u043e":[22],"\u0436\u0435":[23],"\u0432\u0437\u0430\u0438\u043c\u043e\u0434\u0435\u0439\u0441\u0442\u0432\u0438\u044f:":[24],"\u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u0438\u0439":[25],"\u0432\u0430\u043a\u0443\u0443\u043c":[26],"\u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442\u0441\u044f":[27],"\u043d\u0435":[28],"\u043f\u0443\u0441\u0442\u043e\u0442\u043e\u0439,":[29],"\u0441\u0440\u0435\u0434\u043e\u0439,":[31],"\u0441\u043f\u043e\u0441\u043e\u0431\u043d\u043e\u0439":[32],"\u0434\u0435\u0444\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f,":[33],"\u0441\u043e\u0445\u0440\u0430\u043d\u044f\u0442\u044c":[34],"\u043f\u0430\u043c\u044f\u0442\u044c":[35],"\u043e":[36],"\u0434\u0435\u0444\u043e\u0440\u043c\u0430\u0446\u0438\u0438":[37],"\u043f\u0435\u0440\u0435\u0434\u0430\u0432\u0430\u0442\u044c":[39],"\u0432\u043e\u0437\u043c\u0443\u0449\u0435\u043d\u0438\u044f.":[40],"\u0426\u0435\u043b\u044c":[41],"\u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f":[42],"\u0432\u044b\u044f\u0441\u043d\u0438\u0442\u044c,":[44],"\u043a\u0430\u043a\u0438\u0435":[45],"\u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0435\u043c\u044b\u0435":[46],"\u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430":[47],"\u0433\u0440\u0430\u0432\u0438\u0442\u0430\u0446\u0438\u0438":[48],"\u043c\u043e\u0436\u043d\u043e":[49],"\u043f\u043e\u043b\u0443\u0447\u0438\u0442\u044c":[50],"\u0438\u0437":[51],"\u0442\u0430\u043a\u043e\u0433\u043e":[52],"\u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f":[53],"\u0433\u0434\u0435":[55],"\u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0442":[56],"\u0433\u0440\u0430\u043d\u0438\u0446\u044b":[57],"\u043c\u043e\u0434\u0435\u043b\u0438.":[58]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-10-31T00:00:00"}