Recorded data and provenance for the associated calculation.
| status | pass |
|---|---|
| checks_total | 50 |
| scope | Conditional physical scale accounting for the curvature-moment rule. An inverse-matrix inequality excludes simultaneously equal R, L and coupling for the six/ten anchor ratio. Radius roots impose that ratio under shared L and coupling; they are not a derivation of actual sizes and do not remove finite-hopping within-depth corrections. |
| elapsed_seconds | 18.908714465098456 |
View complete data
{
"status": "pass",
"checks_total": 50,
"checks": [
{
"name": "central-ten-depth-chain-dominates-either-six-depth-orientation",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "all-surface-sign-bound-below-required-simplex-ratio",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "ten-depth-first-six-chain-dominates-six-depth-hoppings",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "analytic-equal-scale-bound-below-required-simplex-ratio",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "gamma0-full-spectrum-obeys-analytic-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma0-electron1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma0-electron1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma0-electron-1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma0-electron-1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1-full-spectrum-obeys-analytic-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1-electron1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1-electron1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1-electron-1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1-electron-1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10-full-spectrum-obeys-analytic-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10-electron1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10-electron1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10-electron-1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10-electron-1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100-full-spectrum-obeys-analytic-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100-electron1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100-electron1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100-electron-1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100-electron-1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1000-full-spectrum-obeys-analytic-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1000-electron1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1000-electron1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1000-electron-1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma1000-electron-1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10000-full-spectrum-obeys-analytic-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10000-electron1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10000-electron1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10000-electron-1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma10000-electron-1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100000-full-spectrum-obeys-analytic-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100000-electron1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100000-electron1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100000-electron-1-tau1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100000-electron-1-tau-1-universal-bound",
"error": 0.0,
"tolerance": 1e-75,
"passed": true
},
{
"name": "gamma100-conditional-radius-equation",
"error": 9.002416316059993e-32,
"tolerance": 1e-25,
"passed": true
},
{
"name": "gamma100-unique-radius-monotonic-control",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "gamma1000-conditional-radius-equation",
"error": 6.430584850248353e-32,
"tolerance": 1e-25,
"passed": true
},
{
"name": "gamma1000-unique-radius-monotonic-control",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "gamma10000-conditional-radius-equation",
"error": 5.947317362509354e-31,
"tolerance": 1e-25,
"passed": true
},
{
"name": "gamma10000-unique-radius-monotonic-control",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "gamma100000-conditional-radius-equation",
"error": 1.5447439144124827e-31,
"tolerance": 1e-25,
"passed": true
},
{
"name": "gamma100000-unique-radius-monotonic-control",
"error": 0.0,
"tolerance": 0.5,
"passed": true
},
{
"name": "dimensional-scale-2.0-0.01-0.2",
"error": 8.31632781251592e-112,
"tolerance": 3e-15,
"passed": true
},
{
"name": "dimensional-scale-5.0-0.003-0.03",
"error": 0.0,
"tolerance": 3e-15,
"passed": true
},
{
"name": "dimensional-scale-1.7-0.0001-0.01",
"error": 1.663265562503184e-111,
"tolerance": 3e-15,
"passed": true
}
],
"records": [
{
"equal_scale_gamma": 0,
"tau_electron_frequency_ratio": "1.7692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692308"
},
{
"equal_scale_gamma": 0,
"electron_surface_sign": 1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "1.7692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692308"
},
{
"equal_scale_gamma": 0,
"electron_surface_sign": 1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "1.7692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692308"
},
{
"equal_scale_gamma": 0,
"electron_surface_sign": -1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "1.7692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692308"
},
{
"equal_scale_gamma": 0,
"electron_surface_sign": -1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "1.7692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692307692308"
},
{
"equal_scale_gamma": 1,
"tau_electron_frequency_ratio": "1.7774546813862869240449009387295511086759240377564616268544567291362305046086228241567984895204625854014624441"
},
{
"equal_scale_gamma": 1,
"electron_surface_sign": 1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "1.7774546813862869240449009387295511086759240377564616268544567291362305046086228241567984895204625854014624441"
},
{
"equal_scale_gamma": 1,
"electron_surface_sign": 1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "1.7542276044925235543573018451469133053045413182221490590385380614815915789633354533818001343484817304643303451"
},
{
"equal_scale_gamma": 1,
"electron_surface_sign": -1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "1.7906419899231800390948694002058040139117332299573075687807567671439426980679107057749252759617698117617749586"
},
{
"equal_scale_gamma": 1,
"electron_surface_sign": -1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "1.7672425864814512920497582743671187993206781945814801977571698785043645627633295221912305535584708437278770592"
},
{
"equal_scale_gamma": 10,
"tau_electron_frequency_ratio": "1.968266769679395943044469915554778005891526080468694383780959373984998227808618931068551384345034866702286597"
},
{
"equal_scale_gamma": 10,
"electron_surface_sign": 1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "1.968266769679395943044469915554778005891526080468694383780959373984998227808618931068551384345034866702286597"
},
{
"equal_scale_gamma": 10,
"electron_surface_sign": 1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "1.763404915179991891374543686375080100022828800024899968982331396293498619299517985825556383252558516610515494"
},
{
"equal_scale_gamma": 10,
"electron_surface_sign": -1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "2.0817712148484545208613244201622263256129130598129727123669640800422877907951982661912707192625896903089359385"
},
{
"equal_scale_gamma": 10,
"electron_surface_sign": -1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "1.865095549594603388249153999864740584150315590871989301059941431580226598849134231563231225635354123502191098"
},
{
"equal_scale_gamma": 100,
"tau_electron_frequency_ratio": "0.0048547077941093884699813590024456832704237605640249640480897886072461670472003755730520721016371192197795079667"
},
{
"equal_scale_gamma": 100,
"electron_surface_sign": 1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.0048547077941093884699813590024456832704237605640249640480897886072461670472003755730520721016371192197795079667"
},
{
"equal_scale_gamma": 100,
"electron_surface_sign": 1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.0047793445517133858142116960594223157321936490576337396899271043921002297533993997110429824871268083842965484368"
},
{
"equal_scale_gamma": 100,
"electron_surface_sign": -1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.0048715993440650616480427216995203794170034812556767449685068242503924834573979388879788111307275424863459199317"
},
{
"equal_scale_gamma": 100,
"electron_surface_sign": -1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.0047959738815668937862866393252270556251785545699835484288706040868824729243723107293158018878943678083829842893"
},
{
"equal_scale_gamma": 1000,
"tau_electron_frequency_ratio": "0.00000049729163993836794282957744396704403812965917169269704499472068164804880745419853153125321033644438063294940901"
},
{
"equal_scale_gamma": 1000,
"electron_surface_sign": 1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.00000049729163993836794282957744396704403812965917169269704499472068164804880745419853153125321033644438063294940901"
},
{
"equal_scale_gamma": 1000,
"electron_surface_sign": 1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.00000049721235481642873655765832041797965664500505471652828136345394658866497072363874646471215651050212835345707265"
},
{
"equal_scale_gamma": 1000,
"electron_surface_sign": -1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.00000049730914146881797221876034083560083903268287080391234043666589374681176560177164602077472024585129848372228755"
},
{
"equal_scale_gamma": 1000,
"electron_surface_sign": -1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.00000049722985355654234278620671369797582636399810543109115408810237368664944287416624419223251867371446607596027277"
},
{
"equal_scale_gamma": 10000,
"tau_electron_frequency_ratio": "0.000000000049741028680883479009856666915922177236665573183491242148558275590784463486926178918292938263727155640519788074"
},
{
"equal_scale_gamma": 10000,
"electron_surface_sign": 1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.000000000049741028680883479009856666915922177236665573183491242148558275590784463486926178918292938263727155640519788074"
},
{
"equal_scale_gamma": 10000,
"electron_surface_sign": 1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.000000000049740949355710215351715516966866461682080461634308810591357545494895738646199664175172064154807503740513780887"
},
{
"equal_scale_gamma": 10000,
"electron_surface_sign": -1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.000000000049741046188559906385626474195141047111394058588581757212959621722418537350051365434750770100463827017014016448"
},
{
"equal_scale_gamma": 10000,
"electron_surface_sign": -1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.000000000049740966863358722125461679506439854134107785086855141194344109500413763256231827865721611162437614932630537034"
},
{
"equal_scale_gamma": 100000,
"tau_electron_frequency_ratio": "0.0000000000000049741147332170922757571111927359836093551183309964115383519367584909259379085779310925709672877297725988822415"
},
{
"equal_scale_gamma": 100000,
"electron_surface_sign": 1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.0000000000000049741147332170922757571111927359836093551183309964115383519367584909259379085779310925709672877297725988822415"
},
{
"equal_scale_gamma": 100000,
"electron_surface_sign": 1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.0000000000000049741146538915184141502070526259528981598464519280084069492171015788811023603412301997161025505802263449695088"
},
{
"equal_scale_gamma": 100000,
"electron_surface_sign": -1,
"tau_surface_sign": 1,
"tau_electron_frequency_ratio": "0.0000000000000049741147507248301675440645523751331332567088997116088293623334034499157626905754973407113629261014771935603975"
},
{
"equal_scale_gamma": 100000,
"electron_surface_sign": -1,
"tau_surface_sign": -1,
"tau_electron_frequency_ratio": "0.0000000000000049741146713992560267294159647696513826558486310877400458987989340823825130986213466681002554386944619639655138"
},
{
"electron_gamma": 100,
"conditional_tau_radius_over_electron_radius": "0.23713045105525879107146111183700296203127595633562016878600306933105168665685223965827743697332152805756777525",
"asymptotic_radius_ratio": "0.26036015696467889703213059104888791972439094675449707762032105817284337349036534171637130886869301197578571233",
"relative_asymptotic_radius_correction": "-0.089221431497951913316557670161986813985281420362246081628609186116753515059461008430380654263548024558482849467",
"tau_gamma": "23.713045105525879107146111183700296203127595633562016878600306933105168665685223965827743697332152805756777525",
"frequency_ratio_residual": "0.000000000000000000000000000000090024163160599934195195388703888905530330540140469639737038617507759139077944108128321930670623026034395229548",
"remaining_muon_electron_simplex_correction": "-0.10811473240427934656077147770380743993067074757000309429818079049174595870592793675151505337772752951537293101"
},
{
"electron_gamma": 1000,
"conditional_tau_radius_over_electron_radius": "0.10320216575975455612715068610143452058084802033644128342801489176444874890132164402950509796141886909026652575",
"asymptotic_radius_ratio": "0.10365124541407273674624403636827040499537770776051458514504070154309129400178927056927050504253438012658985958",
"relative_asymptotic_radius_correction": "-0.0043326025898113236121409919424975275683929374652374832213385727504839323109332846110950785243615181043495471985",
"tau_gamma": "103.20216575975455612715068610143452058084802033644128342801489176444874890132164402950509796141886909026652575",
"frequency_ratio_residual": "-0.000000000000000000000000000000064305848502483527755614517193598592699928223651331413628858326299493718239976044827390170176346804681992604807",
"remaining_muon_electron_simplex_correction": "-0.0011022366581533527069296461163498502732571180382108564793131331244392251589345964368689552378952223572693012619"
},
{
"electron_gamma": 10000,
"conditional_tau_radius_over_electron_radius": "0.041253115203412971921526850775613182317397531891313284613785481621202822819803926988890818705613128258846700192",
"asymptotic_radius_ratio": "0.041264304036142654775804203242375044197781603719920202309689394100274342772514757430561666015269019915095902077",
"relative_asymptotic_radius_correction": "-0.00027115040447265895521168800479187621252027715994944985003788755233841572643388274472132237247403600604493665446",
"tau_gamma": "412.53115203412971921526850775613182317397531891313284613785481621202822819803926988890818705613128258846700192",
"frequency_ratio_residual": "-0.00000000000000000000000000000059473173625093536256442894447550481854410803086702714168148434485863027334300614294288561690099560992783719624",
"remaining_muon_electron_simplex_correction": "-0.000011024519186810283091890504468954417988639083642075540039976346590494418977499263245699256755666576689567887819"
},
{
"electron_gamma": 100000,
"conditional_tau_radius_over_electron_radius": "0.016427334298318942487861818375650837274242165464231846932318113762715076146047406442651794833409439888782799244",
"asymptotic_radius_ratio": "0.016427615324688008848035181154714456109450188077732243361458445004019118143539615200863390106560118741883535117",
"relative_asymptotic_radius_correction": "-0.000017106948483510182871094969249605812334661114844506702579491761554718836201768388198719163439047599385257929182",
"tau_gamma": "1642.7334298318942487861818375650837274242165464231846932318113762715076146047406442651794833409439888782799244",
"frequency_ratio_residual": "0.000000000000000000000000000000154474391441248271439463207303960525657957637333003770011043709711983693086538512289061974658279228289464815",
"remaining_muon_electron_simplex_correction": "-0.00000011024540716876763651040531951156129847877551586226169024262160108709997733812807503933960056520739813501467047"
}
],
"exact_bound": {
"product_ratio": "20.294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647059",
"all_surface_sign_product_ratio": "31.985294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647",
"required_simplex_ratio": "3475.1260504201680672268907563025210084033613445378151260504201680672268907563025210084033613445378151260504202",
"large_hopping_prefactor": "143.13480377108955394197180276099011309765908934855463080757259203688287948496571329738355521715806048992990538"
},
"scope": "Conditional physical scale accounting for the curvature-moment rule. An inverse-matrix inequality excludes simultaneously equal R, L and coupling for the six/ten anchor ratio. Radius roots impose that ratio under shared L and coupling; they are not a derivation of actual sizes and do not remove finite-hopping within-depth corrections.",
"input_report": {
"path": "flux-moment-20260915T033331_031324Z.json",
"sha256": "6ed720878d217cc502ef9d7ba94e70b3d5b0afd10e08e1a7d3410336878f21e5"
},
"source_hashes": {
"experiments/curvature_scale_checks.py": "347062a854c19c9661abbfd2ddc2d33b7e60c3663d74b3c016f74bece1802a23",
"experiments/mass_operator_sectors.py": "3c56bfb036174b2d62aa0902f02bea4148c42c43bd7484539f618c2291125a3b"
},
"elapsed_seconds": 18.908714465098456
}