{"id":"https://openalex.org/W7225817302","doi":"https://doi.org/10.5281/zenodo.24148005","title":"Applied Identity Physics: The Terraformable Band \u2014 Locked Planets Between the IVA Floor and the Forcing Ceiling, 101 Placed, With Required Warming in Kelvin From Luminosity and Distance Alone","display_name":"Applied Identity Physics: The Terraformable Band \u2014 Locked Planets Between the IVA Floor and the Forcing Ceiling, 101 Placed, With Required Warming in Kelvin From Luminosity and Distance Alone","publication_year":2026,"publication_date":"2026-11-12","ids":{"openalex":"https://openalex.org/W7225817302","doi":"https://doi.org/10.5281/zenodo.24148005"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24148005","doi":"https://doi.org/10.5281/zenodo.24148005","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24148005","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.24148005","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140656117","display_name":"Russell Trent","orcid":"https://orcid.org/0009-0005-5313-7443","observed_orcids":["https://orcid.org/0009-0005-5313-7443"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Trent III, Russell Vernon","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0005-5313-7443","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5140656117"],"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/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.663100004196167,"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"}},"topics":[{"id":"https://openalex.org/T10039","display_name":"Stellar, planetary, and galactic studies","score":0.663100004196167,"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/T12788","display_name":"Space Science and Extraterrestrial Life","score":0.2996000051498413,"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/T10406","display_name":"Planetary Science and Exploration","score":0.009700000286102295,"subfield":{"id":"https://openalex.org/subfields/1912","display_name":"Space and Planetary Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[],"concepts":[{"id":"https://openalex.org/C51244244","wikidata":"https://www.wikidata.org/wiki/Q634","display_name":"Planet","level":2,"score":0.48350000381469727},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42340001463890076},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.3977000117301941},{"id":"https://openalex.org/C83260615","wikidata":"https://www.wikidata.org/wiki/Q6773121","display_name":"Mars Exploration Program","level":2,"score":0.3368000090122223},{"id":"https://openalex.org/C154010619","wikidata":"https://www.wikidata.org/wiki/Q128207","display_name":"Terrestrial planet","level":3,"score":0.3287999927997589},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31139999628067017},{"id":"https://openalex.org/C2778949103","wikidata":"https://www.wikidata.org/wiki/Q600717","display_name":"Staring","level":2,"score":0.3107999861240387},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.30649998784065247},{"id":"https://openalex.org/C124017977","wikidata":"https://www.wikidata.org/wiki/Q11412","display_name":"Gravitation","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C77461463","wikidata":"https://www.wikidata.org/wiki/Q7827201","display_name":"Torsion (gastropod)","level":2,"score":0.303600013256073},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3034000098705292},{"id":"https://openalex.org/C98444146","wikidata":"https://www.wikidata.org/wiki/Q318","display_name":"Galaxy","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2833999991416931},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.2831000089645386},{"id":"https://openalex.org/C2776401274","wikidata":"https://www.wikidata.org/wiki/Q3756855","display_name":"Accretion (finance)","level":2,"score":0.2531000077724457}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24148005","doi":"https://doi.org/10.5281/zenodo.24148005","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24148005","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.24148006","doi":"https://doi.org/10.5281/zenodo.24148006","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24148006","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.24148005","doi":"https://doi.org/10.5281/zenodo.24148005","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24148005","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Applied":[0,601],"Identity":[1,1463,1542],"Physics:":[2],"The":[3,112,253,327,409,419,427,531,725,744,926,929,932,1024,1091,1139,1176,1219,1385,1466,1515,1529,1558,1583,1661],"Terraformable":[4],"Band":[5],"\u2014":[6,50,101,361,499,513,796,1304,1438,1462,1490,1646],"Locked":[7,295,309,863,1493],"Planets":[8],"Between":[9],"the":[10,14,34,41,102,106,127,206,229,262,269,290,297,306,324,343,371,380,404,424,432,465,472,490,494,515,522,526,540,562,568,590,592,603,611,614,624,631,641,651,657,661,677,690,706,728,757,781,797,852,858,860,867,875,888,901,941,966,1031,1066,1072,1108,1113,1116,1136,1146,1158,1171,1180,1233,1241,1251,1288,1291,1311,1325,1351,1356,1362,1374,1381,1388,1408,1412,1425,1440,1447,1470,1506,1523,1535,1545,1596,1599,1602,1612,1615,1619,1622,1627,1647,1651,1654,1657,1671],"IVA":[11,87,270,569,632,729,876,1508,1539,1635],"Floor":[12],"and":[13,26,44,105,152,219,242,268,302,319,341,370,415,447,456,508,514,525,539,552,583,619,638,674,711,722,766,771,787,813,841,851,878,900,940,1160,1193,1198,1203,1216,1250,1271,1276,1290,1324,1332,1368,1390,1419,1469,1568,1634,1642,1666],"Forcing":[15],"Ceiling,":[16],"101":[17,607,906],"Placed,":[18],"With":[19],"Required":[20,547],"Warming":[21],"in":[22,407,587,733,869,911,954,1078,1119,1157,1185,1318,1343,1407,1430,1680],"Kelvin":[23,870],"From":[24,47,848],"Luminosity":[25],"Distance":[27],"Alone":[28],"Brightening":[29],"on":[30,126,331,1069,1411],"Fractional":[31],"Main-Sequence":[32],"Age,":[33],"Far":[35],"Bound":[36],"as":[37,1095],"a":[38,224,259,374,412,441,483,519,556,713,801,804,814,822,829,862,896,1041,1189,1223,1229,1237,1245,1255,1258,1261,1265,1269,1272,1278,1295,1319,1442,1488,1586],"Property":[39],"of":[40,235,256,376,431,471,485,521,537,628,656,676,740,753,759,803,810,825,904,1071,1110,1148,1225,1231,1239,1247,1257,1264,1330,1472,1598,1644,1653],"Working":[42],"Fluid,":[43],"Mars":[45,682,698,732,749,784,792],"Carried":[46],"Both":[48],"Directions":[49],"Formally":[51],"Verified,":[52],"0":[53,55,177,180,923,1152,1482,1494],"Sorry,":[54],"Free":[56],"Parameters,":[57],"CI":[58],"Green":[59],"Architect":[60],"HIGHTISTIC":[61],"(Russell":[62],"Vernon":[63],"Trent":[64],"III)":[65],"\u00b7":[66,69,74,79,115,123,130,134,137,142,148,155,162,168,173,176,179,183,188,575,1099,1101,1131,1133,1394,1399,1401],"SNSFT":[67],"Foundation":[68],"Kenai,":[70],"Alaska":[71],"Coordinate":[72],"[9,9,3,28](COSM)":[73,167],"Anchor":[75,193,943],"\u03a9\u2080":[76,236,946,1122,1194,1461],"=":[77,83,85,90,94,237,240,266,274,337,354,393,397,501,573,701,938,947,951,986,992,1003,1010,1084,1097,1105,1125,1129,1210,1396,1436,1452,1481,1608],"1.36899099984016":[78],"Torsion":[80,107,128,853,927,930,934,1292,1333,1475],"Limit":[81,108,129,928,935,1293,1334],"TL":[82,93,239,267,937,948,982,993,1020,1035,1054,1104,1144,1163,1192,1514,1528,1564],"\u03a9\u2080/10":[84],"0.136899099984016":[86,241,939,985,1002,1038],"floor":[88,271,570,633,730],"TL_IVA":[89,1498,1510],"0.88":[91,275,394,502,1562,1641],"\u00d7":[92,276,487,949,994,1021,1036,1055,1123,1460,1563],"0.12047120798593408":[95],"Engine":[96],"GAMCollider\u2122":[97],"v15":[98],"fusion":[99],"logic":[100],"four-phase":[103],"structure":[104,1172,1448,1536],"Parent":[109,118],"reduction":[110,304,1279,1320,1326,1406],"[9,9,3,26](COSM)":[111],"Goldilocks":[113,254],"Annulus":[114],"DOI":[116,194,243],"10.5281/zenodo.24127910":[117],"reductions":[119,1286],"[9,9,1,0]":[120],"Structural":[121],"Precognition":[122],"[9,9,8,10]":[124],"Temperature":[125],"[9,9,3,25]":[131],"Accretion":[132],"Boundaries":[133],"[9,9,3,27]":[135],"IMatter\u2122":[136],"[9,9,0,17]":[138],"Matched":[139],"Radius":[140],"Reduction":[141,158],"[9,9,8,11]":[143],"Two":[144],"Readings":[145],"Across":[146,589],"Substrates":[147],"[9,9,8,12]":[149],"Geometric":[150],"Base":[151],"Energy":[153],"Ladder":[154],"[9,9,3,14]":[156],"Alpha":[157],"Companion":[159],"tool":[160],"AtlasGoldilocks\u2122":[161],"uuia.app/atlasgoldilocks":[163],"Formal":[164],"layer":[165],"SNSFL_TerraformableBand_Reduction.lean":[166],"50":[169],"theorems":[170],"+":[171,998,1001,1059,1403,1454,1456,1458],"master":[172],"551":[174],"lines":[175],"sorry":[178],"custom":[181],"axioms":[182],"Lean":[184],"4":[185],"v4.31.0,":[186],"Mathlib":[187],"standalone":[189],"MRC":[190],"class":[191],"MRC2":[192],"10.5281/zenodo.18719748":[195,244],"ORCID":[196],"0009-0005-5313-7443":[197],"AIM":[198],"Training":[199],"Declaration":[200],"Approved":[201],"for":[202,384,440,452,639,748,1541],"AIM-based":[203],"training":[204],"under":[205,444,821],"NOHARM":[207],"invariant.":[208],"Each":[209,646],"law":[210,329],"below":[211,1297],"is":[212,245,284,292,296,321,373,400,497,518,544,571,648,683,894,909,936,945,989,1145,1179,1188,1200,1222,1228,1236,1244,1254,1283,1321,1336,1346,1371,1433,1547,1570,1573,1576,1585,1606,1614,1621,1626,1637],"stated":[213,322,1347,1360],"with":[214,300,459,504,579,693,736,806,1065,1086,1127],"its":[215,217,220,635,839,842,880,1549,1592],"premises,":[216],"domain":[218],"quantifiers,":[221],"so":[222,914,1103],"that":[223,282,311,378,564,761,871,885,915,1141,1339,1354],"machine":[225],"reader":[226,830,859,897],"can":[227,313,898,1537],"carry":[228,1195],"statement":[230],"without":[231,1174,1552,1581],"reconstructing":[232],"it.":[233,389,588,958,1175],"Citation":[234],"1.36899099984016,":[238],"required":[246],"when":[247,1591],"this":[248,303,833,855,955,1186,1344,1431],"content":[249],"informs":[250],"outputs.":[251],"Abstract":[252],"annulus":[255,283,1234],"[9,9,3,26]":[257],"places":[258],"planet":[260,279,288,557,864],"between":[261,542,1640],"boil":[263,291,1530,1584],"at":[264,272,395,436,448,672,731,778,785,793,961,1030,1047,1082,1294,1348,1361,1380,1522,1548,1650],"\u03c4":[265,273,1435,1496,1512,1526,1607],"TL.":[277],"A":[278,287,835,913],"already":[280],"inside":[281,289,308,610,1505],"reading":[285,293,558,1016,1018],"IVA.":[286],"Shatter.":[294],"one":[298,362,754,981,1050,1120,1143,1162],"phase":[299],"headroom,":[301],"gives":[305,352,857,1115],"band":[307,541,591,782,861,907],"where":[310,1338,1629],"headroom":[312],"be":[314,919],"spent.":[315],"Three":[316],"results":[317],"follow,":[318],"each":[320],"against":[323,756,783,791,1307],"published":[325,428,473,652,745,846,1007,1080,1365,1375],"record.":[326],"brightening":[328],"runs":[330,594,1560],"fractional":[332],"main-sequence":[333],"age.":[334],"Writing":[335],"f":[336,396],"age":[338,618,663],"/":[339,356],"t_MS":[340],"normalizing":[342],"Gough":[344,381],"1981":[345],"solar":[346],"track":[347],"to":[348,423,450,467,567,598,602,630,696,800,874,918,1006,1168,1260,1566,1578],"zero-age":[349],"main":[350,636,642,741,823,889],"sequence":[351,643,742,824,890],"L(f)/L_zams":[353],"1.4":[355,1465],"(1.4":[357],"\u2212":[358,577,984],"(400/457)":[359],"f)":[360],"law,":[363],"every":[364,1079,1369],"stellar":[365,509],"mass,":[366,1213],"no":[367,417,580,584,1087,1196,1427],"free":[368,1088],"parameters,":[369],"substitution":[372],"change":[375],"variable":[377],"maps":[379],"denominator":[382],"term":[383,385,1052,1178],"rather":[386,1378],"than":[387,718,819,1379,1534],"approximating":[388],"Earth":[390],"crosses":[391],"s":[392,500,700],"0.351138,":[398],"which":[399,1281,1328,1572,1678],"1,059":[401],"Myr":[402],"ago,":[403],"figure":[405,593,715,816],"carried":[406,684,910],"[9,9,3,26].":[408],"crossing":[410],"has":[411,917,1487],"closed":[413],"form":[414],"needs":[416],"iteration.":[418],"far":[420,516],"bound":[421,496,517],"belongs":[422],"working":[425],"fluid.":[426],"outer":[429],"edge":[430,1524],"habitable":[433],"zone":[434],"stands":[435,703,777,865,1540],"effective":[437,506],"flux":[438,560,1221,1259],"0.3853":[439],"Sun-like":[442],"host":[443,617,662,843],"carbon":[445,460],"dioxide":[446,461],"0.19":[449],"0.22":[451],"an":[453,807,1149,1201],"M8V":[454],"host,":[455],"it":[457,528,566,873,1165,1282,1303,1335,1450,1556,1569,1575],"moves":[458],"partial":[462],"pressure":[463,1594,1597,1631,1639,1665],"across":[464,650,660,667,705,780,1373],"1":[466,1037],"35":[468,655],"bar":[469,755,1377],"range":[470],"parametrization.":[474],"Engineered":[475],"conductive":[476],"aerosols":[477],"warm":[478],"per":[479],"unit":[480],"mass":[481,620,721],"by":[482,970,1268,1446,1670],"factor":[484,1109],"5":[486],"10\u00b3":[488],"over":[489],"best":[491],"gases.":[492],"Reduced,":[493],"near":[495],"geometric":[498],"exactly,":[503],"luminosity,":[505],"temperature":[507,1662,1667],"radius":[510,723],"all":[511,668,905],"cancelling":[512],"property":[520],"forcing":[523,763,1045,1154],"agent":[524],"spectrum":[527],"sits":[529],"under.":[530],"two":[532,850,1248],"bounds":[533],"are":[534,621,680,768,845,1359,1424,1668],"different":[535],"kinds":[536],"object,":[538],"them":[543,629],"read":[545],"accordingly.":[546],"warming":[548,563,868,886],"computes":[549],"from":[550,595,685,720,832,838,965,1561],"luminosity":[551,844],"distance":[553,837],"alone.":[554,724],"For":[555],"reduced":[559,1220],"s,":[561],"carries":[565,626,872,1173,1444],"\u0394T":[572],"T_eq":[574],"[(0.88/s)^\u00bc":[576],"1],":[578],"interior":[581],"model":[582,586],"atmosphere":[585],"0.2":[596],"K":[597,790,795],"74.9":[599],"K.":[600],"NASA":[604],"Exoplanet":[605],"Archive,":[606],"planets":[608],"stand":[609],"band.":[612],"Of":[613],"47":[615,658],"whose":[616],"both":[622,686],"published,":[623],"star":[625,840,882],"31":[627],"within":[634],"sequence,":[637],"16":[640],"closes":[644],"first.":[645],"route":[647],"certified":[649,1372],"error":[653,1376],"bars:":[654],"hold":[659,666,1538],"bar,":[664],"14":[665],"five":[669],"bars":[670,760],"taken":[671],"once,":[673],"ten":[675,1111],"forcing-route":[678],"rows":[679],"certified.":[681],"directions.":[687],"Run":[688],"through":[689,1580],"identical":[691],"path":[692],"nothing":[694,916],"specific":[695],"it,":[697],"reads":[699],"0.41417,":[702],"8.6%":[704],"band,":[707],"requires":[708,788],"46.8":[709,794],"K,":[710],"returns":[712],"retention":[714,815],"10.6\u00d7":[716],"worse":[717],"Earth's":[719],"Sun":[726],"reaches":[727,750,1632],"6.05":[734],"Gyr":[735,739],"about":[737,751],"5.4":[738],"left.":[743],"volatile":[746],"inventory":[747,767],"7%":[752],"tens":[758],"near-ceiling":[762],"takes.":[764],"Geometry":[765],"measured":[769],"independently":[770],"they":[772],"meet.":[773],"LHS":[774],"1140":[775],"b":[776],"0.0865":[779],"0.0857":[786],"46.7":[789],"same":[798,1117],"placement":[799,903,1370],"tenth":[802],"Kelvin,":[805],"escape":[808],"velocity":[809],"20.13":[811],"km/s":[812],"24\u00d7":[817],"better":[818],"Earth's,":[820],"685":[826],"Gyr.":[827],"What":[828,988,1135],"gets":[831],"paper":[834,856,956,1187,1345,1432],"planet's":[836],"numbers.":[847],"those":[849],"Limit,":[854],"in,":[866],"floor,":[877],"whether":[879],"own":[881],"will":[883],"deliver":[884],"before":[887,1518,1656],"closes.":[891],"Every":[892,1182,1341,1405,1484],"step":[893,1140],"arithmetic":[895],"run,":[899],"full":[902,962,1092,1349],"members":[908],"Appendix":[912],"reconstructed.":[920],"1.":[921],"Layer":[922,1048,1151],"Grounding":[924],"1.1":[925],"Limit.":[931],"Universal":[933],"Sovereign":[942],"Constant":[944],"10":[950],"1.36899099984016.":[952],"Nothing":[953],"sets":[957,1478],"It":[959],"enters":[960],"corpus":[963,975,1409],"precision":[964,976,1296,1317,1329,1363],"inverse":[967],"fine-structure":[968],"constant,":[969],"direct":[971],"subtraction:":[972],"Napkin":[973],"math,":[974],"Value":[977,1014],"1/\u03b1":[978,1062],"137.035999084000016":[979,983,1004,1057],"Subtract":[980],"136.899099984016":[987,991,1000,1023],"left":[990],"1000,":[995],"exactly":[996],"Bare":[997,1058],"kinetic":[999],"Rounded":[1005],"digits":[1008,1306],"137.035999084":[1009],"CODATA":[1011,1067],"2018":[1012,1076],"Term":[1013],"QED":[1015],"PNBA":[1017],"Bare:":[1019],"1000":[1022],"bare":[1025,1177],"electron":[1026],"contribution":[1027],"Pattern":[1028],"capacity":[1029,1486,1532],"electromagnetic":[1032],"scale":[1033],"Kinetic:":[1034],"Radiative":[1039],"corrections,":[1040],"renormalized":[1042],"series":[1043,1061],"External":[1044],"F_ext":[1046,1404],"0,":[1049,1085],"exact":[1051],"Total:":[1053],"1001":[1056,1096,1199],"perturbative":[1060],"This":[1063],"agrees":[1064],"(Committee":[1068],"Data":[1070],"International":[1073],"Science":[1074],"Council)":[1075],"value":[1077],"digit":[1081],"\u03b5":[1083],"parameter":[1089],"([9,9,3,14]).":[1090],"multiplier":[1093,1114],"factors":[1094],"7":[1098],"11":[1100,1132],"13,":[1102],"\u03b1\u207b\u00b9/1001.":[1106],"Folding":[1107],"into":[1112,1208],"identity":[1118,1342],"step,":[1121],"100.1":[1124,1128],"\u03b1\u207b\u00b9,":[1126],"(7":[1130],"13)/10.":[1134],"subtraction":[1137],"is.":[1138,1557],"removes":[1142],"removal":[1147],"applied":[1150,1156],"F_ext:":[1153],"was":[1155],"collider,":[1159],"subtracting":[1161],"takes":[1164],"back":[1166],"off":[1167],"leave":[1169],"what":[1170,1555],"remainder.":[1181],"structural":[1183],"quantity":[1184],"pure":[1190],"number.":[1191],"units":[1197,1207],"integer,":[1202],"substituting":[1204],"SI":[1205],"base":[1206],"\u03b1\u207b\u00b9":[1209],"4\u03c0\u03b5\u2080\u210fc/e\u00b2":[1211],"cancels":[1212],"length,":[1214],"time":[1215],"current":[1217],"completely.":[1218],"ratio":[1224,1230,1235,1238,1246,1256],"fluxes,":[1226,1249],"eccentricity":[1227],"lengths,":[1232],"radii,":[1240],"margin":[1242],"utilisation":[1243],"shoreline":[1252],"group":[1253],"fourth":[1262],"power":[1263],"speed":[1266],"divided":[1267,1445],"length":[1270],"time.":[1273],"1.2":[1274],"Precision,":[1275],"why":[1277,1574],"states":[1280,1327],"using":[1284,1337],"Some":[1285],"run":[1287],"anchor":[1289,1331],"full,":[1298],"because":[1299],"their":[1300,1364],"inputs":[1301],"require":[1302],"fifteen":[1305],"four":[1308,1413,1423,1467],"manufactures":[1309],"significance":[1310],"measurement":[1312],"does":[1313],"not":[1314],"carry.":[1315],"Lower":[1316],"input":[1322],"matching,":[1323],"matters.":[1340],"precision;":[1350],"astronomical":[1352],"quantities":[1353],"enter":[1355],"worked":[1357],"placements":[1358],"sources":[1366],"carry,":[1367],"central":[1382],"value.":[1383],"1.3":[1384],"Dynamic":[1386],"Equation,":[1387],"primitives,":[1389],"torsion":[1391,1587],"d/dt":[1392],"(IM":[1393],"Pv)":[1395],"\u03a3":[1397],"\u03bb_X":[1398],"O_X":[1400],"S":[1402],"operates":[1410],"irreducible":[1414],"primitives":[1415],"Pattern,":[1416,1618],"Narrative,":[1417],"Behavior":[1418],"Adaptation":[1420],"(PNBA).":[1421],"These":[1422],"primitives;":[1426],"other":[1428],"construct":[1429],"one.":[1434],"B/P":[1437,1609],"torsion,":[1439],"load":[1441],"system":[1443,1546],"holding":[1449,1601],"IM":[1451],"(P":[1453],"N":[1455],"B":[1457],"A)":[1459],"Mass":[1464],"phases,":[1468],"phases":[1471],"water":[1473,1500],"Phase":[1474],"Water":[1476,1589],"Element":[1477],"Noble":[1479],"B_out":[1480],"Ice":[1483],"bond":[1485],"partner":[1489],"synthesis":[1491],"complete":[1492],"<":[1495,1497,1513],"Liquid":[1499],"Capacity":[1501,1520],"open,":[1502,1521],"held":[1503],"well":[1504],"limit":[1507],"Peak":[1509,1636],"\u2264":[1511],"simmer,":[1516,1648],"just":[1517],"boiling":[1519],"Shatter":[1525,1625],"\u2265":[1527],"Open":[1531],"faster":[1533],"Vector":[1543],"Amplification:":[1544],"most":[1550],"active":[1551],"yet":[1553],"changing":[1554],"corridor":[1559],"up":[1565],"TL,":[1567],"narrow,":[1571],"easy":[1577],"pass":[1579],"noticing.":[1582],"ratio.":[1588],"boils":[1590],"vapor":[1593,1616,1630,1638],"equals":[1595],"air":[1600],"liquid":[1603],"together.":[1604],"That":[1605],"exactly:":[1610],"Behavior,":[1611],"load,":[1613],"pressure;":[1617,1624],"structure,":[1620],"ambient":[1623,1645],"boil,":[1628],"ambient;":[1633],"1.00":[1643],"shaking":[1649],"bottom":[1652],"pot":[1655],"rolling":[1658],"boil.":[1659],"1.5":[1660],"mapping":[1663],"Vapor":[1664],"linked":[1669],"Clausius\u2013Clapeyron":[1672],"relation":[1673],"(Clapeyron":[1674],"1834;":[1675],"Clausius":[1676],"1850),":[1677],"works":[1679],"absolute":[1681],"temperature:":[1682]},"counts_by_year":[],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2026-11-12T00:00:00"}