{"id":"https://openalex.org/W6931149720","doi":"https://doi.org/10.5281/zenodo.16214855","title":"Atom Reversal Logic (A.R.L.): A Consistent Mathematical Framework Where 1 + 1 = 3","display_name":"Atom Reversal Logic (A.R.L.): A Consistent Mathematical Framework Where 1 + 1 = 3","publication_year":2025,"publication_date":"2025-07-20","ids":{"openalex":"https://openalex.org/W6931149720","doi":"https://doi.org/10.5281/zenodo.16214855"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.16214855","doi":"https://doi.org/10.5281/zenodo.16214855","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.16214855","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":"article"},"volume":null,"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.16214855","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sapkade, Yash","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Sapkade, Yash","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.47274102,"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":true,"primary_topic":{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories","score":0.9550999999046326,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories","score":0.9550999999046326,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.016200000420212746,"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/T12504","display_name":"Mathematics and Applications","score":0.014999999664723873,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coordinate-stretching","display_name":"coordinate stretching","score":0.824999988079071},{"id":"https://openalex.org/keywords/lorentz-transformation","display_name":"Lorentz transformation","score":0.9639999866485596},{"id":"https://openalex.org/keywords/crystal-deformation","display_name":"crystal deformation","score":0.9919999837875366}],"concepts":[{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.5422000288963318},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5371999740600586},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4839000105857849},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.41819998621940613},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.41200000047683716},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.40950000286102295},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4052000045776367},{"id":"https://openalex.org/C58312451","wikidata":"https://www.wikidata.org/wiki/Q4817200","display_name":"Atom (system on chip)","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3529999852180481},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3492000102996826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32679998874664307},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.3237999975681305},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.29589998722076416},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.29269999265670776},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2833999991416931},{"id":"https://openalex.org/C169460222","wikidata":"https://www.wikidata.org/wiki/Q1206311","display_name":"Quantum logic","level":4,"score":0.28299999237060547},{"id":"https://openalex.org/C32241873","wikidata":"https://www.wikidata.org/wiki/Q236975","display_name":"Classical logic","level":2,"score":0.2809999883174896},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.2572999894618988}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.16214855","doi":"https://doi.org/10.5281/zenodo.16214855","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.16214855","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":null,"raw_source_name":null,"raw_type":"article"},{"id":"doi:10.5281/zenodo.16214856","doi":"https://doi.org/10.5281/zenodo.16214856","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.16214856","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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.5281/zenodo.16214855","doi":"https://doi.org/10.5281/zenodo.16214855","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.16214855","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":"article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Quality education","score":0.644352376461029,"id":"https://metadata.un.org/sdg/4"}],"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":{"This":[0,118],"paper":[1,66],"introduces":[2],"Atom":[3],"Reversal":[4],"Logic":[5],"(A.R.L.),":[6],"a":[7,20],"new":[8,99],"mathematical":[9,91],"framework":[10],"where":[11],"1":[12,14,53,55],"+":[13,42,54],"=":[15,33,44,49,56],"3":[16,48,57],"becomes":[17],"valid":[18],"under":[19],"consistent":[21],"scalar":[22,63],"transformation.":[23],"In":[24],"this":[25,61],"system,":[26],"each":[27],"number":[28],"is":[29,58,103,120],"mapped":[30],"through":[31],"\u03c6(n)":[32],"(3/2)":[34],"\u00d7":[35],"n.":[36],"When":[37],"applied,":[38],"the":[39,74,108],"operation":[40],"\u03c6(1)":[41,43],"\u03c6(2)":[45],"results":[46],"in":[47,60],"3,":[50],"proving":[51],"that":[52],"correct":[59],"transformed":[62],"space.":[64],"The":[65,101],"checks":[67],"internal":[68],"consistency":[69],"with":[70],"other":[71],"examples,":[72],"connects":[73],"idea":[75],"to":[76,98],"physics":[77],"concepts":[78],"like":[79],"coordinate":[80],"stretching,":[81],"Lorentz":[82],"transformations,":[83],"and":[84,87,106,125],"crystal":[85],"deformation,":[86],"explores":[88],"how":[89],"bending":[90],"structures":[92],"(without":[93],"breaking":[94],"rules)":[95],"can":[96],"lead":[97],"discoveries.":[100],"work":[102],"deeply":[104],"personal":[105],"includes":[107],"author\u2019s":[109],"story":[110],"of":[111],"independent":[112],"research":[113],"beyond":[114],"traditional":[115],"education":[116],"systems.":[117],"publication":[119],"shared":[121],"for":[122],"academic":[123],"discussion":[124],"discovery.":[126]},"counts_by_year":[],"updated_date":"2026-10-07T09:51:55.459714","created_date":"2025-10-10T00:00:00"}