{"id":"https://openalex.org/W7225610759","doi":"https://doi.org/10.5281/zenodo.24081124","title":"The Toroidal Matru\u0161ka Atom Model: Topological Mechanics under Temporal Discretization and Relativistic Constraints","display_name":"The Toroidal Matru\u0161ka Atom Model: Topological Mechanics under Temporal Discretization and Relativistic Constraints","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225610759","doi":"https://doi.org/10.5281/zenodo.24081124"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24081124","doi":"https://doi.org/10.5281/zenodo.24081124","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24081124","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":"JournalArticle"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24081124","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121869678","display_name":"Hamdi Bilgin Ergun","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ergun, Hamdi Bilgin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5121869678"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.7383000254631042,"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"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.7383000254631042,"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/T11960","display_name":"Relativity and Gravitational Theory","score":0.13339999318122864,"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/T10048","display_name":"Particle physics theoretical and experimental studies","score":0.05260000005364418,"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":[{"id":"https://openalex.org/keywords/discrete-spacetime","display_name":"discrete spacetime","score":0.75},{"id":"https://openalex.org/keywords/planck-length","display_name":"Planck length","score":0.8579999804496765},{"id":"https://openalex.org/keywords/time-discretization","display_name":"time discretization","score":0.6570000052452087},{"id":"https://openalex.org/keywords/neutron-lifetime","display_name":"neutron lifetime","score":0.7870000004768372},{"id":"https://openalex.org/keywords/beta-decay","display_name":"beta decay","score":0.8759999871253967},{"id":"https://openalex.org/keywords/transuranic-elements","display_name":"transuranium elements","score":0.8090000152587891}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7480999827384949},{"id":"https://openalex.org/C15001198","wikidata":"https://www.wikidata.org/wiki/Q3241394","display_name":"Toroid","level":3,"score":0.6288999915122986},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.46070000529289246},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44369998574256897},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.4169999957084656},{"id":"https://openalex.org/C104862878","wikidata":"https://www.wikidata.org/wiki/Q1770567","display_name":"Topological defect","level":2,"score":0.4099000096321106},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.3889000117778778},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.3813000023365021},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.366100013256073},{"id":"https://openalex.org/C58312451","wikidata":"https://www.wikidata.org/wiki/Q4817200","display_name":"Atom (system on chip)","level":2,"score":0.365200012922287},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.3628999888896942},{"id":"https://openalex.org/C65155139","wikidata":"https://www.wikidata.org/wiki/Q5380912","display_name":"Envelope (radar)","level":3,"score":0.3456999957561493},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.33809998631477356},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.2827000021934509},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.271699994802475},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26179999113082886},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2540999948978424},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.2515999972820282}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24081124","doi":"https://doi.org/10.5281/zenodo.24081124","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24081124","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":"JournalArticle"},{"id":"doi:10.5281/zenodo.24081125","doi":"https://doi.org/10.5281/zenodo.24081125","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24081125","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":"JournalArticle"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24081124","doi":"https://doi.org/10.5281/zenodo.24081124","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24081124","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":"JournalArticle"},"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/W6931020099","https://openalex.org/W7221333946","https://openalex.org/W7135065764","https://openalex.org/W7158584412","https://openalex.org/W7138872803","https://openalex.org/W7168085695","https://openalex.org/W4416878710","https://openalex.org/W7214096857","https://openalex.org/W7202030312","https://openalex.org/W7018749773"],"abstract_inverted_index":{"This":[0],"study":[1],"presents":[2],"a":[3,14,35,43,55,64,76,92,114,121,171,181],"comprehensive":[4],"refinement":[5],"of":[6,28,38,45,72,84,180],"the":[7,26,138,144,151,164,178],"Toroidal":[8,196],"Matru\u0161ka":[9,193],"Atom":[10,197],"Model":[11],"and":[12,16,22,103,150,160],"proposes":[13],"mathematical":[15],"topological":[17,94],"connection":[18],"between":[19],"cosmic-scale":[20],"boundaries":[21],"microphysical":[23],"systems.":[24],"Under":[25],"axiom":[27],"temporal":[29],"discretization,":[30],"space-time":[31],"is":[32,52,60,89,130],"modeled":[33,90],"as":[34,91,113],"discrete":[36],"stack":[37],"Time":[39,199],"Plates,":[40],"each":[41],"with":[42,69,81,137],"thickness":[44],"one":[46],"Planck":[47],"length":[48],"(\u2113\u209a).":[49],"Mass":[50],"accumulation":[51,57],"described":[53],"by":[54,120],"reverse-engineered":[56],"integral,":[58],"which":[59],"proposed":[61,165],"to":[62,100,132,177,185],"transform":[63],"neutrino":[65],"baseline":[66],"wave":[67],"envelope":[68],"an":[70,82],"energy":[71,83,141,153],"1.82":[73],"eV":[74],"into":[75],"stable":[77],"Ergunon":[78,183,201],"(\u03b5)":[79],"segment":[80],"0.511":[85],"MeV.":[86],"The":[87,128],"proton":[88],"closed":[93],"string":[95],"comprising":[96],"1836":[97],"Ergunons,":[98],"subject":[99],"relativistic":[101],"compression":[102],"dual-axis":[104],"rotational-spin":[105],"constraints.":[106],"In":[107],"addition,":[108],"probability":[109],"distributions":[110],"are":[111,168],"reinterpreted":[112],"multilayer":[115],"mechanical":[116],"\u201cbasket-weave\u201d":[117],"configuration":[118],"governed":[119],"1,":[122],"3,":[123],"5,":[124],"7":[125],"shell":[126],"symmetry.":[127],"framework":[129],"used":[131],"formulate":[133],"numerical":[134],"thresholds":[135],"associated":[136],"hydrogen":[139],"ionization":[140],"(13.6":[142],"eV),":[143],"free-neutron":[145],"lifetime":[146],"(approximately":[147],"880":[148],"s),":[149],"beta-decay":[152],"release":[154],"(0.782":[155],"MeV).":[156],"Finally,":[157],"radioactive":[158],"instability":[159],"transuranic":[161],"limits,":[162],"including":[163],"uranium":[166],"threshold,":[167],"interpreted":[169],"through":[170],"geometrical":[172],"failure":[173],"function":[174],"(\u03a9),":[175],"attributed":[176],"inability":[179],"finite":[182],"chain":[184],"achieve":[186],"smooth":[187],"360-degree":[188],"phase":[189],"closure":[190],"across":[191],"expanding":[192],"radii.":[194],"Keywords:":[195],"Model;":[198],"Plate;":[200],"Segment;":[202],"Basket-Weave":[203],"Lattice;":[204],"Topological":[205],"Closure":[206],"Failure;":[207],"Relativistic":[208],"Deformation.":[209]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}