{"id":"https://openalex.org/W7225455333","doi":"https://doi.org/10.5281/zenodo.24030998","title":"Villaber's General Rule: The Infinite Halving Principle - 1/2 + 1/2 = 1 EXACT | Universal Map, Balance, Creative Union, and Theory of Everything (TOE) Portfolio 00-97","display_name":"Villaber's General Rule: The Infinite Halving Principle - 1/2 + 1/2 = 1 EXACT | Universal Map, Balance, Creative Union, and Theory of Everything (TOE) Portfolio 00-97","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225455333","doi":"https://doi.org/10.5281/zenodo.24030998"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24030998","doi":"https://doi.org/10.5281/zenodo.24030998","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24030998","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-journal"},"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.24030998","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152378975","display_name":"Ruel Villaber","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Villaber, Ruel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5152378975"],"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":0.4894999861717224,"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":0.4894999861717224,"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/T14500","display_name":"Smarandache Functions and Recreational Number Theory","score":0.1995999962091446,"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/T12170","display_name":"History and Theory of Mathematics","score":0.06989999860525131,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/infinite-series-convergence","display_name":"infinite series convergence","score":0.5080000162124634},{"id":"https://openalex.org/keywords/geometric-series","display_name":"geometric series","score":0.6850000023841858},{"id":"https://openalex.org/keywords/unity-of-opposites","display_name":"unity of opposites","score":0.5609999895095825},{"id":"https://openalex.org/keywords/balance","display_name":"balance","score":0.6949999928474426},{"id":"https://openalex.org/keywords/creative-unions","display_name":"creative unions","score":0.9649999737739563},{"id":"https://openalex.org/keywords/theory-of-everything","display_name":"theory of everything","score":0.925000011920929},{"id":"https://openalex.org/keywords/dna","display_name":"DNA","score":0.5509999990463257},{"id":"https://openalex.org/keywords/galaxies","display_name":"galaxies","score":0.7250000238418579},{"id":"https://openalex.org/keywords/economy-and-society","display_name":"economy and society","score":0.453000009059906},{"id":"https://openalex.org/keywords/global-governance","display_name":"global governance","score":0.5329999923706055},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"artificial intelligence","score":0.3970000147819519},{"id":"https://openalex.org/keywords/cosmology","display_name":"cosmology","score":0.8539999723434448},{"id":"https://openalex.org/keywords/earth-system","display_name":"Earth system","score":0.3319999873638153},{"id":"https://openalex.org/keywords/systems-thinking","display_name":"systems thinking","score":0.38199999928474426}],"concepts":[{"id":"https://openalex.org/C2992002026","wikidata":"https://www.wikidata.org/wiki/Q1111474","display_name":"General theory","level":2,"score":0.5429999828338623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4970000088214874},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4422999918460846},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.424699991941452},{"id":"https://openalex.org/C2780821815","wikidata":"https://www.wikidata.org/wiki/Q5340806","display_name":"Portfolio","level":2,"score":0.40470001101493835},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3953999876976013},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C2164484","wikidata":"https://www.wikidata.org/wiki/Q5170150","display_name":"Core (optical fiber)","level":2,"score":0.34709998965263367},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33640000224113464},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.3357999920845032},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.3197000026702881},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2985999882221222},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2858000099658966},{"id":"https://openalex.org/C2982832238","wikidata":"https://www.wikidata.org/wiki/Q5531640","display_name":"General purpose","level":2,"score":0.2556999921798706},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24030998","doi":"https://doi.org/10.5281/zenodo.24030998","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24030998","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-journal"},{"id":"doi:10.5281/zenodo.24030999","doi":"https://doi.org/10.5281/zenodo.24030999","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24030999","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-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24030998","doi":"https://doi.org/10.5281/zenodo.24030998","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24030998","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-journal"},"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":["https://openalex.org/W7221088292","https://openalex.org/W7224989903","https://openalex.org/W7223450101","https://openalex.org/W7223250464","https://openalex.org/W7215032708","https://openalex.org/W7225264980","https://openalex.org/W7223950349","https://openalex.org/W7219071828","https://openalex.org/W7215132932","https://openalex.org/W7221052250"],"abstract_inverted_index":{"Villaber's":[0,22,153,184],"General":[1,23,61,96,105,127,133,154,172,185,196,215,225,237,248,263,270,276,319],"Rule:":[2,134,155,186,197],"The":[3,60,95,132,156,187,198,208,262,269,275,281],"Infinite":[4,76,100,112,157,175,188],"Halving":[5,101,113,158,176,189],"Principle":[6,159,177,190,199,282],"-":[7,50,148,160,174,191,203,218,228,240,251,261,268,274,280],"1/2":[8,10,37,39,161,163],"+":[9,38,162],"=":[11,40,45,48,54,102,123,164,289],"1":[12,41,46,49,55,124,165,293],"EXACT":[13,42],"This":[14,88,320,323],"collection":[15],"presents":[16],"the":[17,70,99,108,111],"complete":[18],"visual":[19],"portfolio":[20,209],"of":[21,73,98,110,129,138,179,200,265,272,278,283],"Rule,":[24],"developed":[25],"by":[26,69],"Ruel":[27,327],"Villaber,":[28],"Independent":[29,329],"Researcher,":[30,330],"Mandaluyong":[31,331],"City,":[32,332],"Philippines,":[33,333],"2026.":[34],"Core":[35,217,227,239,250],"Principle:":[36],"Sum":[43],"(1/2)^n":[44,51],"Sn":[47,53],"lim":[52],"as":[56],"n":[57],"approaches":[58],"infinity":[59],"Rule":[62,97,106,128,173,264,271,277],"states":[63],"that":[64],"every":[65],"whole":[66],"is":[67,313,316],"formed":[68],"exact":[71,85],"union":[72],"its":[74],"halves.":[75],"halving":[77],"does":[78],"not":[79],"lead":[80],"to":[81,84,299,305],"incompleteness,":[82],"but":[83],"completion:":[86],"One.":[87],"Zenodo":[89],"deposit":[90],"contains":[91],"10":[92],"posters:":[93],"1.":[94,214],"One":[103,205,290],"2.":[104,224],"for":[107],"Convergence":[109],"Series":[114],"3.":[115,236],"Villaber":[116,143,171,328],"Quantum":[117,144,231],"Master":[118,145],"Portfolio":[119,146],"00-97:":[120],"Universal":[121,135,294],"Map":[122],"Exact":[125,166,266],"4.":[126,247],"Balance":[130,273],"5.":[131],"Mathematical":[136],"Principles":[137],"Addition":[139],"and":[140],"Identity":[141],"6.":[142],"00-97":[147],"Final":[149],"Complete":[150],"Edition":[151],"7.":[152],"(4":[167],"Cores":[168],"Version)":[169],"8.":[170],"Theory":[178],"Everything":[180,315],"(TOE)":[181],"Chip":[182,193],"9.":[183],"Glowing":[192],"Version":[194],"10.":[195],"Creative":[201,284],"Union":[202],"Become":[204],"Whole":[206,291],"Idea":[207,292],"covers":[210],"four":[211],"universal":[212],"cores:":[213],"Science":[216],"Mathematics,":[219],"Physics,":[220],"Chemistry,":[221],"Biology,":[222],"Cosmology":[223],"Technology":[226],"Computer":[229],"AI,":[230],"Space,":[232],"Medical":[233],"Energy,":[234],"Engineering":[235],"Nature":[238],"Earth":[241],"(Water/Air),":[242],"Fire":[243],"(Energy/Life),":[244],"DNA,":[245],"Galaxies":[246],"Systems":[249],"Economy,":[252],"Education,":[253],"Government,":[254],"Society,":[255],"Smart":[256],"World":[257],"It":[258],"also":[259],"includes:":[260],"Completion":[267],"Integration":[279],"Union:":[285],"All":[286],"Ideas":[287],"Combined":[288],"Application:":[295],"From":[296],"microscopic":[297],"DNA":[298],"galactic":[300],"systems,":[301],"from":[302],"individual":[303],"society":[304],"global":[306],"governance.":[307],"THE":[308],"PRINCIPLE":[309],"IS":[310],"ONE.":[311],"\"Everything":[312],"Complete.":[314],"One.\"":[317,325],"\"In":[318],"Is":[321,324],"Everything.":[322],"Author:":[326],"2026":[334]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-11-08T00:00:00"}