{"id":"https://openalex.org/W7224798278","doi":"https://doi.org/10.67347/pith.preprint.2026.000019","title":"Newton's Constant and the Recognition Ledger: Einstein's Equations, the Graviton, and the One Number That Fixes G","display_name":"Newton's Constant and the Recognition Ledger: Einstein's Equations, the Graviton, and the One Number That Fixes G","publication_year":2026,"publication_date":"2026-10-30","ids":{"openalex":"https://openalex.org/W7224798278","doi":"https://doi.org/10.67347/pith.preprint.2026.000019"},"language":"en","primary_location":{"id":"doi:10.67347/pith.preprint.2026.000019","doi":"https://doi.org/10.67347/pith.preprint.2026.000019","is_oa":true,"landing_page_url":"https://doi.org/10.67347/pith.preprint.2026.000019","pdf_url":"https://pith.science/preprint/newton-s-constant-and-the-recognition-ledger-einstein-s-equations-the-gr-dgrre0/pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"volume":null,"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://pith.science/preprint/newton-s-constant-and-the-recognition-ledger-einstein-s-equations-the-gr-dgrre0/pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124049838","display_name":"Jonathan Washburn","orcid":"https://orcid.org/0009-0001-8868-7497","observed_orcids":["https://orcid.org/0009-0001-8868-7497"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jonathan Washburn","raw_affiliation_strings":["Recognition Physics Institute"],"raw_orcid":"https://orcid.org/0009-0001-8868-7497","affiliations":[{"raw_affiliation_string":"Recognition Physics Institute","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5124049838"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.548799991607666,"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.548799991607666,"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":0.41110000014305115,"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":0.02590000070631504,"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/gravitational-constant","display_name":"gravitational constant","score":0.8640000224113464},{"id":"https://openalex.org/keywords/regge-action","display_name":"Regge action","score":0.7089999914169312},{"id":"https://openalex.org/keywords/planck-length","display_name":"Planck length","score":0.7369999885559082},{"id":"https://openalex.org/keywords/massless-graviton","display_name":"massless graviton","score":0.7390000224113464},{"id":"https://openalex.org/keywords/lattice-spacing","display_name":"lattice spacing","score":0.4659999907016754}],"concepts":[{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5911999940872192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.534500002861023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45590001344680786},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45509999990463257},{"id":"https://openalex.org/C132612359","wikidata":"https://www.wikidata.org/wiki/Q625641","display_name":"Lattice constant","level":3,"score":0.4171000123023987},{"id":"https://openalex.org/C86294171","wikidata":"https://www.wikidata.org/wiki/Q18373","display_name":"Gravitational constant","level":3,"score":0.39500001072883606},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.3682999908924103},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.35850000381469727},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3472999930381775},{"id":"https://openalex.org/C183276030","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling constant","level":2,"score":0.33959999680519104},{"id":"https://openalex.org/C11135259","wikidata":"https://www.wikidata.org/wiki/Q2477027","display_name":"Length scale","level":2,"score":0.3375999927520752},{"id":"https://openalex.org/C185767445","wikidata":"https://www.wikidata.org/wiki/Q207952","display_name":"Law of large numbers","level":3,"score":0.31060001254081726},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.31029999256134033},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.3089999854564667},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.3050999939441681},{"id":"https://openalex.org/C146846114","wikidata":"https://www.wikidata.org/wiki/Q901448","display_name":"Einstein","level":2,"score":0.30399999022483826},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28290000557899475},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.2540000081062317}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.67347/pith.preprint.2026.000019","doi":"https://doi.org/10.67347/pith.preprint.2026.000019","is_oa":true,"landing_page_url":"https://doi.org/10.67347/pith.preprint.2026.000019","pdf_url":"https://pith.science/preprint/newton-s-constant-and-the-recognition-ledger-einstein-s-equations-the-gr-dgrre0/pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.67347/pith.preprint.2026.000019","doi":"https://doi.org/10.67347/pith.preprint.2026.000019","is_oa":true,"landing_page_url":"https://doi.org/10.67347/pith.preprint.2026.000019","pdf_url":"https://pith.science/preprint/newton-s-constant-and-the-recognition-ledger-einstein-s-equations-the-gr-dgrre0/pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224798278.pdf","grobid_xml":"https://content.openalex.org/works/W7224798278.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W4226409475","https://openalex.org/W7224087845","https://openalex.org/W7224403212","https://openalex.org/W7224759506","https://openalex.org/W7224775242","https://openalex.org/W7224960584"],"related_works":["https://openalex.org/W7224811665","https://openalex.org/W7140045399","https://openalex.org/W7170776470","https://openalex.org/W7169122024","https://openalex.org/W7168095673","https://openalex.org/W7167846256","https://openalex.org/W7211881124","https://openalex.org/W7165445596","https://openalex.org/W7154447040","https://openalex.org/W7220715939"],"abstract_inverted_index":{"In":[0],"units":[1,193],"where":[2,99],"the":[3,19,46,72,79,85,102,105,115,118,123,131,151,169,184,195,206,217,237,254,276,281,287,309,312,326,334,346,356,364,403],"speed":[4],"of":[5,33,78,88,104,117,130,183,189,209,216,262,323,341,386],"light":[6,143],"and":[7,66,84,141,200,250,275,306],"Planck's":[8],"constant":[9,13],"are":[10,268],"fixed,":[11],"Newton's":[12,89],"is":[14,56,101,126,158,171,179,202,253,289,303,315,395,401],"one":[15,81,94,145,203,213,296,299],"pure":[16,181,204],"number:":[17,205],"for":[18,64,92],"electron,":[20,218],"\u03b1_G":[21],"=":[22,25,27,76,97,135,156,160,221],"G":[23,96,190,220,230,387],"m_e\u00b2/(\u0127c)":[24],"(m_e/m_P)\u00b2":[26],"1.7518":[28],"\u00d7":[29,235],"10\u207b\u2074\u2075.":[30],"A":[31],"theory":[32,264],"gravity":[34],"without":[35,265],"free":[36,174,266],"parameters":[37,267],"has":[38,336],"to":[39,114,292,337,363,377],"produce":[40],"it.":[41],"We":[42],"ask":[43],"how":[44],"far":[45],"recognition":[47],"ledger's":[48,109],"lattice":[49,62,86,152],"path":[50,119,282],"sum":[51,283],"goes.":[52],"Its":[53],"long-wavelength":[54],"limit":[55,70],"linearized":[57],"Einstein":[58,278],"gravity,":[59],"with":[60,219],"exact":[61],"solutions":[63],"matter":[65],"an":[67,330,373],"explicit":[68],"second-order":[69],"at":[71,154,233,295,369],"identified":[73,310],"value":[74,188,371],"\u03ba":[75,155],"1":[77,157],"lattice's":[80],"geometric":[82],"parameter,":[83],"form":[87],"law":[90],"holds":[91],"exactly":[93],"coupling,":[95],"1/(8\u03c0s),":[98],"s":[100,113],"scale":[103,116,319],"Regge":[106],"action.":[107],"The":[108,187,228,339],"phase":[110],"premise":[111],"ties":[112],"sum's":[120],"phase;":[121],"then":[122],"Planck":[124],"length":[125,147,178,197],"a":[127,173,180,263,272,316,342,382,393],"fixed":[128],"fraction":[129],"record":[132,146,149,185,196,247],"length,":[133],"l_P":[134],"\u03bb_rec/(2\u221aln":[136],"2)":[137],"\u2248":[138,163],"0.6006":[139],"\u03bb_rec,":[140],"if":[142],"crosses":[144],"per":[148],"rank":[150],"spacing":[153,311],"b":[159],"(2/\u221a3)":[161],"\u03bb_rec":[162],"1.92":[164],"l_P.":[165],"Under":[166],"these":[167],"premises":[168,240],"coupling":[170],"not":[172,291],"parameter:":[175],"every":[176,244,370],"gravitational":[177],"multiple":[182],"length.":[186],"in":[191,198,212],"SI":[192],"needs":[194],"metres,":[199],"that":[201,302,345,359],"number":[207],"N_e":[208,232],"ledger":[210,335,347],"ticks":[211],"Compton":[214],"period":[215],"\u03c0\u00b2":[222],"\u0127c/(ln":[223],"2":[224],"\u00b7":[225],"m_e\u00b2":[226],"N_e\u00b2).":[227],"measured":[229,327],"puts":[231],"9.0156":[234],"10\u00b2\u00b2;":[236],"framework's":[238],"present":[239],"leave":[241],"it":[242,285,368,379],"free,":[243],"candidate":[245],"on":[246],"misses":[248],"it,":[249],"its":[251,350,398],"derivation":[252],"paper's":[255],"precise":[256],"open":[257,269],"target.":[258],"Two":[259],"further":[260],"requirements":[261],"as":[270,284,390],"well:":[271],"massless":[273,294],"graviton":[274,288],"nonlinear":[277],"equations.":[279],"For":[280],"stands":[286],"proved":[290],"be":[293,381],"loop,":[297],"given":[298,358],"local":[300],"bound":[301],"still":[304],"open,":[305],"read":[307],"through":[308],"computed":[313],"remainder":[314,357],"one-loop":[317],"mass":[318],"some":[320],"fifty-one":[321],"orders":[322],"magnitude":[324],"above":[325],"bound,":[328,360],"which":[329,354,366],"action":[331],"derived":[332],"from":[333],"remove.":[338],"readings":[340],"triangle's":[343],"charge":[344],"supplies":[348],"make":[349],"even":[351,374],"part":[352,375],"zero,":[353],"leaves":[355,367],"or":[361],"proportional":[362],"area,":[365],"computed;":[372],"chosen":[376],"remove":[378],"would":[380],"fit.":[383],"Measured":[384],"values":[385],"appear":[388],"only":[389],"comparisons.":[391],"Where":[392],"proof":[394],"complete":[396],"but":[397],"independent":[399],"verification":[400],"not,":[402],"text":[404],"says":[405],"so.":[406]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-31T00:00:00"}