{"id":"https://openalex.org/W7225414282","doi":"https://doi.org/10.5281/zenodo.23997853","title":"Yuanxian Theory \u00b7 S4 Exclusive Path: Symbolic-Layer Hard-Core Assault on the Riemann Hypothesis and Ultimate Cosmology \u2014 Microlocal Analysis, Positive-Definite Separability of RKHS, ER=EPR and Unification of Arithmetic Geometry","display_name":"Yuanxian Theory \u00b7 S4 Exclusive Path: Symbolic-Layer Hard-Core Assault on the Riemann Hypothesis and Ultimate Cosmology \u2014 Microlocal Analysis, Positive-Definite Separability of RKHS, ER=EPR and Unification of Arithmetic Geometry","publication_year":2026,"publication_date":"2026-11-06","ids":{"openalex":"https://openalex.org/W7225414282","doi":"https://doi.org/10.5281/zenodo.23997853"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23997853","doi":"https://doi.org/10.5281/zenodo.23997853","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23997853","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.23997853","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133152057","display_name":"Zhenyuan Acharya","orcid":"https://orcid.org/0009-0009-3690-569X","observed_orcids":["https://orcid.org/0009-0009-3690-569X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Acharya, Zhenyuan","raw_affiliation_strings":["Institute of Yuanxian Cosmology"],"raw_orcid":"https://orcid.org/0009-0009-3690-569X","affiliations":[{"raw_affiliation_string":"Institute of Yuanxian Cosmology","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5133152057"],"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/T11166","display_name":"Analytic Number Theory Research","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0066999997943639755,"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":0.0026000000070780516,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/riemann-hypothesis","display_name":"Riemann hypothesis","score":0.859000027179718},{"id":"https://openalex.org/keywords/zeros-of-the-riemann-zeta-function","display_name":"Riemann zeta function zeros","score":0.7979999780654907},{"id":"https://openalex.org/keywords/atiyah-singer-index-theorem","display_name":"Atiyah-Singer index theorem","score":0.9300000071525574},{"id":"https://openalex.org/keywords/de-branges-spaces","display_name":"de Branges spaces","score":0.9319999814033508},{"id":"https://openalex.org/keywords/reproducing-kernel-hilbert-space","display_name":"reproducing kernel Hilbert space","score":0.953000009059906},{"id":"https://openalex.org/keywords/modular-forms","display_name":"modular forms","score":0.968999981880188},{"id":"https://openalex.org/keywords/renormalization-group-flow","display_name":"renormalization group flow","score":0.8799999952316284},{"id":"https://openalex.org/keywords/cosmological-constant-problem","display_name":"cosmological constant problem","score":0.75},{"id":"https://openalex.org/keywords/er-epr-conjecture","display_name":"ER=EPR conjecture","score":0.8560000061988831},{"id":"https://openalex.org/keywords/holographic-quantum-gravity","display_name":"holographic quantum gravity","score":0.7799999713897705},{"id":"https://openalex.org/keywords/arithmetic-geometry","display_name":"arithmetic geometry","score":0.6299999952316284},{"id":"https://openalex.org/keywords/godel-incompleteness","display_name":"G\u00f6del incompleteness","score":0.8169999718666077}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8611000180244446},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.4616999924182892},{"id":"https://openalex.org/C73373263","wikidata":"https://www.wikidata.org/wiki/Q845677","display_name":"Moduli space","level":2,"score":0.4593999981880188},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43130001425743103},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.3928999900817871},{"id":"https://openalex.org/C199479865","wikidata":"https://www.wikidata.org/wiki/Q205966","display_name":"Riemann hypothesis","level":2,"score":0.391400009393692},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.3815000057220459},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.3682999908924103},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.36570000648498535},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.3555000126361847},{"id":"https://openalex.org/C125198404","wikidata":"https://www.wikidata.org/wiki/Q1192916","display_name":"Instanton","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.33399999141693115},{"id":"https://openalex.org/C98306654","wikidata":"https://www.wikidata.org/wiki/Q2409122","display_name":"Spectral theory","level":3,"score":0.3292999863624573},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32280001044273376},{"id":"https://openalex.org/C2779668893","wikidata":"https://www.wikidata.org/wiki/Q2250422","display_name":"Constant curvature","level":3,"score":0.3147999942302704},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.30809998512268066},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.2890999913215637},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.2750000059604645},{"id":"https://openalex.org/C190333341","wikidata":"https://www.wikidata.org/wiki/Q217616","display_name":"Meromorphic function","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.2554999887943268},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.2551000118255615},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.2524000108242035}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23997853","doi":"https://doi.org/10.5281/zenodo.23997853","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23997853","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.23997854","doi":"https://doi.org/10.5281/zenodo.23997854","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23997854","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.23997853","doi":"https://doi.org/10.5281/zenodo.23997853","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23997853","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":["https://openalex.org/W6885164265","https://openalex.org/W7223147945","https://openalex.org/W7155096363","https://openalex.org/W7128728737","https://openalex.org/W7224669816","https://openalex.org/W7128924256","https://openalex.org/W7117879062","https://openalex.org/W7115560957","https://openalex.org/W6930989316","https://openalex.org/W7116130115"],"abstract_inverted_index":{"The":[0,25,64],"present":[1],"paper":[2],"completes":[3],"the":[4,9,18,33,42,47,51,60,78,82,88,103,121,133,136,139,143,154,159,168,172,177,182,191,195,208,212,225,232],"final":[5],"analytic":[6,205],"closure":[7,156],"of":[8,21,46,50,62,74,87,98,105,112,120,125,138,153,171,194,228],"S4":[10,26,155,238,260],"exclusive":[11,27],"path":[12],"and":[13,37,81,109,176,202,223],"carries":[14],"its":[15],"consequences":[16,152],"to":[17,32,39,211],"ultimate":[19],"inferences":[20],"holographic":[22],"quantum":[23],"gravity.":[24],"proposition":[28],"is":[29,66,145,162,188,216],"strictly":[30],"equivalent":[31],"Riemann":[34],"Hypothesis":[35],"(RH)":[36],"aims":[38],"prove":[40],"that":[41],"purely":[43],"imaginary":[44],"spectrum":[45,76,175],"physical":[48,151],"subspace":[49],"self-referential":[52],"Hamiltonian":[53],"\\(\\hat{H}_{\\mathrm{eff}}\\)":[54,241],"stands":[55],"in":[56],"bijective":[57],"correspondence":[58],"with":[59,132,199,231],"zeros":[61],"\\(\\zeta\\).":[63],"assault":[65],"accomplished":[67],"through":[68],"four":[69],"independent":[70],"sub-propositions:":[71],"S4a":[72],"(exclusion":[73,97],"continuous":[75],"by":[77,92,102,115,167,190],"RAGE":[79,246],"theorem":[80],"Atiyah\u2013Singer":[83,248],"index),":[84],"S4b":[85],"(locking":[86],"real-part":[89],"upper":[90],"bound":[91,123],"de":[93,250],"Branges":[94,251],"spaces),":[95],"S4c":[96],"extra":[99],"trace":[100],"points":[101],"separability":[104],"positive-definite":[106],"RKHS":[107,253],"measures),":[108],"S4d":[110],"(elimination":[111],"Jordan":[113],"blocks":[114],"irreducible":[116],"representations).":[117],"By":[118],"means":[119],"Fourier-coefficient":[122],"(\\(\\delta=3/4\\))":[124],"modular":[126],"forms":[127],"on":[128],"Kohnen":[129,255],"space":[130],"together":[131,198],"renormalisation-group":[134],"flow,":[135],"independence":[137],"perturbation":[140],"decay":[141],"from":[142,164],"truncation":[144],"proved":[146,189],"rigorously.":[147],"Further,":[148],"extremely":[149],"far-reaching":[150],"are":[157],"derived:":[158],"cosmological-constant":[160],"problem":[161],"resolved":[163],"first":[165],"principles":[166],"non-divergent":[169],"summation":[170],"pure":[173],"discrete":[174],"analytically":[178],"continued":[179],"value":[180],"\\(\\zeta(-1)\\);":[181],"ER=EPR":[183,265],"conjecture":[184],"(entanglement":[185],"equals":[186],"wormhole)":[187],"topological":[192],"defects":[193],"skin":[196],"effect":[197],"algebraic":[200],"simplicity;":[201],"a":[203],"rigorous":[204],"expression":[206],"for":[207],"instanton":[209],"correction":[210],"fine-structure":[213],"constant":[214],"\\(\\alpha_{\\mathrm{fs,phys}}\\)":[215,267],"obtained.":[217],"Physical":[218],"evolution":[219],"transcends":[220],"G\u00f6del":[221],"incompleteness":[222],"achieves":[224],"absolute":[226],"unification":[227],"macroscopic":[229],"space-time":[230],"underlying":[233],"arithmetic":[234],"geometry.":[235],"---":[236],"\u672c\u6587\u5b8c\u6210":[237],"\u6392\u4ed6\u6027\u8def\u5f84\u7684\u6700\u7ec8\u89e3\u6790\u95ed\u5408,\u5e76\u5c06\u5176\u63a8\u6f14\u81f3\u5168\u606f\u91cf\u5b50\u5f15\u529b\u7684\u7ec8\u6781\u63a8\u8bba\u3002S4":[239],"\u6392\u4ed6\u6027\u547d\u9898\u4e25\u683c\u7b49\u4ef7\u4e8e\u9ece\u66fc\u5047\u8bbe(RH),\u65e8\u5728\u8bc1\u660e\u81ea\u6307\u54c8\u5bc6\u987f":[240],"\u7684\u7269\u7406\u5b50\u7a7a\u95f4\u7eaf\u865a\u8c31\u4e0e":[242],"\\(\\zeta\\)":[243,262],"\u96f6\u70b9\u5b8c\u5168\u53cc\u5c04\u3002":[244],"\u901a\u8fc7\u56db\u4e2a\u72ec\u7acb\u5b50\u547d\u9898\u5b8c\u6210\u653b\u575a:S4a(\u57fa\u4e8e":[245],"\u5b9a\u7406\u4e0e":[247],"\u6307\u6807\u6392\u9664\u8fde\u7eed\u8c31)\u3001S4b(\u57fa\u4e8e":[249],"\u7a7a\u95f4\u9501\u5b9a\u5b9e\u90e8\u4e0a\u754c)\u3001S4c(\u57fa\u4e8e\u6b63\u5b9a":[252],"\u6d4b\u5ea6\u5206\u79bb\u6027\u6392\u9664\u989d\u5916\u8ff9\u70b9)\u3001S4d(\u57fa\u4e8e\u4e0d\u53ef\u7ea6\u8868\u793a\u6d88\u706d\u82e5\u5c14\u5f53\u5757)\u3002\u901a\u8fc7":[254],"\u7a7a\u95f4\u6a21\u5f62\u5f0f\u7684":[256],"Fourier":[257],"\u7cfb\u6570\u754c(\\(\\delta=3/4\\))\u4e0e\u91cd\u6574\u5316\u7fa4\u6d41,\u4e25\u683c\u8bc1\u660e\u4e86\u5fae\u6270\u8870\u51cf\u4e0e\u622a\u65ad\u65e0\u5173\u6027\u3002":[258],"\u8fdb\u4e00\u6b65\u63a8\u5bfc\u4e86":[259],"\u95ed\u5408\u7684\u6781\u5176\u6df1\u8fdc\u7684\u7269\u7406\u63a8\u8bba:\u5229\u7528\u7eaf\u79bb\u6563\u8c31\u7684\u975e\u53d1\u6563\u6c42\u548c\u4e0e":[261],"\u51fd\u6570\u7684\u89e3\u6790\u5ef6\u62d3\u503c":[263],"\\(\\zeta(-1)\\),\u4ece\u7b2c\u4e00\u6027\u539f\u7406\u5316\u89e3\u4e86\u5b87\u5b99\u5b66\u5e38\u6570\u95ee\u9898;\u5229\u7528\u8d8b\u80a4\u6548\u5e94\u7684\u62d3\u6251\u7f3a\u9677\u4e0e\u4ee3\u6570\u5355\u91cd\u6027,\u8bc1\u660e\u4e86":[264],"\u731c\u60f3(\u7ea0\u7f20\u5373\u866b\u6d1e);\u5e76\u7ed9\u51fa\u4e86\u7cbe\u7ec6\u7ed3\u6784\u5e38\u6570":[266],"\u7684\u77ac\u5b50\u4fee\u6b63\u4e25\u683c\u89e3\u6790\u5f0f\u3002\u7269\u7406\u6f14\u5316\u8d85\u8d8a\u4e86\u54e5\u5fb7\u5c14\u4e0d\u5b8c\u5907\u6027,\u8fbe\u6210\u5b8f\u89c2\u65f6\u7a7a\u4e0e\u5e95\u5c42\u7b97\u672f\u51e0\u4f55\u7684\u7edd\u5bf9\u7edf\u4e00\u3002":[268]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}