{"id":"https://openalex.org/W7225824118","doi":"https://doi.org/10.5281/zenodo.24128642","title":"Fractal Symphony: The Golden Ratio as a Bridge Between General Relativity and Quantum Mechanics","display_name":"Fractal Symphony: The Golden Ratio as a Bridge Between General Relativity and Quantum Mechanics","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225824118","doi":"https://doi.org/10.5281/zenodo.24128642"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24128642","doi":"https://doi.org/10.5281/zenodo.24128642","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128642","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.24128642","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5147261573","display_name":"Elena Bozhenko","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bozhenko, Elena","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5147261573"],"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":0.5898000001907349,"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":0.5898000001907349,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.3425000011920929,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.061500001698732376,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy 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":[],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.640999972820282},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.607200026512146},{"id":"https://openalex.org/C147452769","wikidata":"https://www.wikidata.org/wiki/Q11452","display_name":"General relativity","level":2,"score":0.589900016784668},{"id":"https://openalex.org/C149324446","wikidata":"https://www.wikidata.org/wiki/Q43514","display_name":"Theory of relativity","level":2,"score":0.5126000046730042},{"id":"https://openalex.org/C4621756","wikidata":"https://www.wikidata.org/wiki/Q18344764","display_name":"Problem of time","level":4,"score":0.49779999256134033},{"id":"https://openalex.org/C111806380","wikidata":"https://www.wikidata.org/wiki/Q81745","display_name":"Classical physics","level":3,"score":0.484499990940094},{"id":"https://openalex.org/C166126730","wikidata":"https://www.wikidata.org/wiki/Q725309","display_name":"Planck","level":2,"score":0.4767000079154968},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.4205000102519989},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.414900004863739},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.40389999747276306},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.3887999951839447},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.36469998955726624},{"id":"https://openalex.org/C136269434","wikidata":"https://www.wikidata.org/wiki/Q1502341","display_name":"Quantum chaos","level":4,"score":0.3546999990940094},{"id":"https://openalex.org/C85841341","wikidata":"https://www.wikidata.org/wiki/Q1135984","display_name":"Octave (electronics)","level":2,"score":0.3522999882698059},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3483999967575073},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3422999978065491},{"id":"https://openalex.org/C110099512","wikidata":"https://www.wikidata.org/wiki/Q59115","display_name":"Philosophy of science","level":2,"score":0.32359999418258667},{"id":"https://openalex.org/C206611041","wikidata":"https://www.wikidata.org/wiki/Q4393075","display_name":"Relativistic mechanics","level":3,"score":0.30410000681877136},{"id":"https://openalex.org/C18802822","wikidata":"https://www.wikidata.org/wiki/Q41690","display_name":"Golden ratio","level":2,"score":0.30090001225471497},{"id":"https://openalex.org/C23134205","wikidata":"https://www.wikidata.org/wiki/Q11455","display_name":"Special relativity","level":3,"score":0.30070000886917114},{"id":"https://openalex.org/C75195261","wikidata":"https://www.wikidata.org/wiki/Q945995","display_name":"Principle of relativity","level":4,"score":0.2921000123023987},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.28940001130104065},{"id":"https://openalex.org/C27638517","wikidata":"https://www.wikidata.org/wiki/Q184274","display_name":"Celestial mechanics","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C65776647","wikidata":"https://www.wikidata.org/wiki/Q658544","display_name":"Modern physics","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C28294206","wikidata":"https://www.wikidata.org/wiki/Q177013","display_name":"Subatomic particle","level":3,"score":0.2676999866962433},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C154761356","wikidata":"https://www.wikidata.org/wiki/Q5172905","display_name":"Correspondence principle (sociology)","level":2,"score":0.257999986410141}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24128642","doi":"https://doi.org/10.5281/zenodo.24128642","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128642","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.24128643","doi":"https://doi.org/10.5281/zenodo.24128643","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128643","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.24128642","doi":"https://doi.org/10.5281/zenodo.24128642","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24128642","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Status":[0],"of":[1,9,13,54,76,86,161],"the":[2,10,14,73,80,132,137,162],"material:":[3],"A":[4,7],"natural-philosophical":[5],"essay.":[6],"synthesis":[8],"musical":[11],"model":[12],"Universe,":[15],"sacred":[16],"geometry,":[17],"and":[18,31,65,152],"modern":[19],"physics.":[20],"It":[21,37],"is":[22,134],"not":[23,33,135,155],"a":[24,43,49,83,115],"physical":[25],"theory,":[26],"contains":[27],"no":[28],"dynamical":[29],"equations,":[30],"does":[32],"claim":[34],"predictive":[35],"power.":[36],"represents":[38],"an":[39],"attempt":[40],"to":[41,122],"see":[42],"unified":[44],"structure":[45],"where":[46],"physics":[47,57],"sees":[48],"divide.1.":[50],"Introduction:":[51],"The":[52],"Problem":[53],"Two":[55],"ShoresModern":[56],"stands":[58],"on":[59],"two":[60,156,159],"pillars:":[61],"General":[62],"Relativity":[63],"(GR)":[64],"Quantum":[66],"Mechanics":[67],"(QM).":[68],"GR":[69,91,151],"describes":[70,79],"gravity":[71],"as":[72,82,146],"smooth":[74],"geometry":[75],"spacetime.":[77],"QM":[78,96,153],"microworld":[81],"probabilistic":[84],"chaos":[85],"discrete":[87],"states.At":[88],"macroscopic":[89],"scales,":[90,95],"works.":[92,97],"At":[93],"microscopic":[94],"But":[98],"at":[99],"Planck":[100],"scales":[101],"(N":[102],"\u2248":[103],"200":[104],"in":[105],"our":[106],"octave":[107],"scale),":[108],"both":[109],"theories":[110,138],"lose":[111],"their":[112],"meaning.":[113],"For":[114],"hundred":[116],"years,":[117],"physicists":[118],"have":[119],"been":[120],"trying":[121],"find":[123],"\"quantum":[124],"gravity,\"":[125],"but":[126,141,158],"so":[127],"far,":[128],"without":[129],"success.What":[130],"if":[131,150],"problem":[133],"that":[136,142],"are":[139,154],"wrong,":[140],"we":[143],"view":[144],"them":[145],"separate":[147],"entities?":[148],"What":[149],"shores,":[157],"turns":[160],"same":[163],"spiral?":[164]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}