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A registered result in its source context

Original ledger classification: Candidate [C]/[N] + mechanism [O] (structured point inside the v481 window; scalaron-trace hypothesis typed, not derived; no seesaw closure)

Recorded statement: THE SCALARON-TRACE RUNG CANDIDATE (registered 2026-08-28, external master-object review wave 2): M_R = N_fam * M_scal = 3 c3^{7/2} Mbar = 9.180e13 GeV -- a STRUCTURED point inside the v481 PS window, -1.8% from the v481-required 9.346e13…

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Paper context: Standard Model and flavor structure

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FLAV.NUSCALE.05

Original ledger classification: Candidate [C]/[N] + mechanism [O] (structured point inside the v481 window; scalaron-trace hypothesis typed, not derived; no seesaw closure)

Original claim text

THE SCALARON-TRACE RUNG CANDIDATE (registered 2026-08-28, external master-object review wave 2): M_R = N_fam * M_scal = 3 c3^{7/2} Mbar = 9.180e13 GeV -- a STRUCTURED point inside the v481 PS window, -1.8% from the v481-required 9.346e13 GeV under the same frozen 1-loop inversion and the named premise y_nu = y_t [P] (the review text said about 1%; the honest value is 1.8); m_3 at the candidate = 0.0512 eV (+1.9%, inside the >50% v482 RG envelope), ~20x sharper than the declined integer rung c3^3 Mbar. EXACT ladder position: 3 c3^{7/2} = (3 sqrt c3) c3^3, 3 sqrt(c3) = 3/sqrt(8 pi) = 0.598413 -- 0.26% from the 3/5 of the v482/v488 story; ADJACENCY TYPED: v488 killed 3/5 as an SO(10)/PS CLEBSCH, while the scalaron-trace reading is a DIFFERENT mechanism class -- HONEST RETYPE (2026-08-28, review wave 3): the trace argument Tr_A3 I = 3 is loose (Spec(I) = {1,1,1}, trace 3 does not make 3 an eigenvalue); the operator reading is the Q_+ eigenvalue route Spec{1,2,3} (v10/v50/v69), with the mixed insertion texture typed DATA_CONSTRAINS_TEXTURE in the nu-scalaron v2 project -- mechanism stays [O], not derived. The same M_scal already carries f_a = M_scal/128 (v185) and the inflation scale (v253): no new scale atom. KILL TEST: Sigma m_nu (NO) = 0.059 eV; a robust cosmological bound below 0.059 eV or a >~5% shift of the required M_R kills the candidate. CANONICAL NOTE (2026-08-28, completeness wave, NU_TEXTURE_CENSUS_NULL, not a module): frozen 3x3 inventory search 0/1607 corpus candidates + 0/200 random control (best miss factor 12.6 on the reactor angle) -- the Q+ union needs structure beyond the frozen 3x3 inventory; mechanism [O] sharpened. Provenance: experiments/tfpt-discovery/nu_texture_census_probe.py. No v3 freeze; M2 = 1.73e10 GeV remains the unused prediction.

Original classification detail

[N] 3 M_scal within 1.8% of the required M_R and m_3 within 1.9% at the frozen v481 inputs; [E] exact ladder identities; [C] the scalaron-trace reading; [O] the mechanism; [X] the Sigma m_nu = 0.059 eV kill floor. Does NOT close FLAV.NUSCALE; v481 window candidate and v488 negative untouched. WAVE-3 RETYPE (2026-08-28): operator reading is the Q_+ eigenvalue route Spec{1,2,3} (v10/v50/v69), not Tr I = 3; texture DATA_CONSTRAINS_TEXTURE (nu-scalaron v2); mechanism stays [O]. COMPLETENESS-WAVE NOTE (2026-08-28): NU_TEXTURE_CENSUS_NULL 0/1607 + 0/200 -- frozen 3x3 inventory provably insufficient; mechanism [O] sharpened; no new module (search null). WAVE-5 (2026-08-29, v1003): Schur-texture NULL (8/8 D4-even (K,B) fail; lambda_1=lambda_3 forced) and scale NULL (12/12; 1-|c/a|=1.885e-4 not supplied) recorded as binding constraints on FLAV.NU.TEXTURE.MECHANISM.01 [O]. Candidate unmoved; no seesaw closure.

Dependencies as recorded

FLAV.NUSCALE.02; FLAV.NUSCALE.03; FLAV.NUSCALE.04; GRAV.FR.01; AX.P1.01

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Registered verification modules

  • v986_nu_scalaron_rung.pyRegistered verification module · frontier
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    FLAV.NUSCALE.05 [C]/[N] Kandidat (Externe Master-Objekt-Review Welle 2, 2026-08-28): **die Skalaron-Spur-Sprosse M_R = N_fam M_scal = 3 c3^{7/2} Mbar — ein strukturierter Punkt IM v481-Fenster, 1.8 % von der 1-Loop-Anforderung** — 3 M_scal = 9.180e13 GeV vs das v481-geforderte 9.346e13 GeV (dieselbe eingefrorene 1-Loop-Inversion, y_nu = y_t [P]) — Abweichung -1.8 % (der Review sagte 'etwa 1 %'; der ehrliche Wert ist 1.8), m_3 am Kandidaten = 0.0512 eV (+1.9 %, innerhalb der >50 %-v482-RG-Enveloppe); EXAKTE Leiterposition 3 c3^{7/2} = (3 sqrt c3) c3^3 mit 3 sqrt(c3) = 3/sqrt(8 pi) = 0.598413, 0.26 % von der 3/5 der v482/v488-Geschichte — ADJAZENZ EHRLICH TYPISIERT: v488 toetete 3/5 als SO(10)-CLEBSCH; die Skalaron-Spur-Lesart ist eine ANDERE Mechanismusklasse (HONEST RETYPE Welle 3: Tr I = 3 ist locker, Spec(I)={1,1,1}; Operator-Lesart ist Q_+ Spec{1,2,3}; Textur DATA_CONSTRAINS_TEXTURE) und bleibt selbst [O]; ~20x schaerfer als die abgelehnte Ganzzahl-Sprosse c3^3 Mbar (0.019 vs 0.401 in m_3); dasselbe M_scal traegt bereits f_a = M_scal/128 (v185) — kein neues Skalenatom. KILL-TEST: Sigma m_nu (NO) = 0.059 eV; eine robuste Schranke darunter oder ein >~5 %-Shift der geforderten M_R toetet den Kandidaten. FIREWALL: y_nu = y_t bleibt [P]; KEINE Seesaw-Schliessung; der v481-Fensterkandidat und das v488-Negativ unberuehrt; kein PMNS-Claim.

  • v1003_nu_structural_nulls.pyRegistered verification module · frontier
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    FLAV.NU.TEXTURE.MECHANISM.01 [O] (Review-Welle 5, 2026-08-29; bindende Constraints, keine Texture): [E] geladener Sektor h=(1,1,1), d=(64,60,64); [X] Schur-Texture-NULL 8/8 (K,B) scheitern, D4-Spiegelung erzwingt lambda_1=lambda_3; gefordertes K ~ [3536.998, 1768.499, 1/3] trifft keinen von 9 Komparatoren; [E] Orientierungs-Verdopplung hebt Entartung generisch; [X] Skalen-NULL 12/12, 1-|c/a|=1.885e-4 von keiner gefrorenen Konstante. Mechanismus muss D4-ungerade sein UND ~2e-4-Cancellation liefern; reine Seam-Daten ausgeschlossen. Python-only / Wolfram-Spiegel zurueckgestellt.

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