Twenty-two rows of the SuperGrokTOE framework against PDG 2026 and NuFIT 6.1. Every row carries the tier of its actual derivation chain. This page replaces the 2026-03 "20/20 · zero free parameters" table, which was retired at Rev29.
Suite Rev33.1 (sealed 2026-09-26) · comparators PDG 2026 / NuFIT 6.1 · house scorecard S286, refreshed S294, rows 12c/22b added S300, row 9 from the kernel line s1162 (S303), rows 5/10 retyped by adjudication A1566 (S303)The colour reading has been WITHDRAWN (S324). Green, amber and red were published here and on four other pages as a reading of how each row sits against its comparator. No definition for them was ever published, and they were not a threshold on d — a row marked green sat at |d| = 1.75 beside rows marked amber at 1.00 and 1.94. Rather than define a rule after the fact, the house has withdrawn the label. Nothing measured has been removed: every row still prints its deviation d and its tier, and the tier is what governs citation — no row may be cited as zero-parameter, and nothing here is peer-reviewed. Where a status cell carried a substantive qualifier it is kept verbatim; where it carried only a colour it now reads —.
★ RE-CHECKED, S370 (2026-09-26) — the basis moves to Rev33.1. The S351 verifier (scripts/scorecard_rederive_S351.py) was re-run at the Rev33.1 cut: every theory cell and every deviation cell recomputed from its formula at full precision, 0 disagreements. Rev33.1’s engine roll (kernel v5.0.12) reads the NuFIT 6.1 Δm² pair and sin²θW(MZ) from source-ledger rows SL-01, SL-02 and SL-06 — the values this table already printed — so the seal moved the engine and not the table. No row is added. The notes below keep the release names they were written under.
★ RE-CHECKED, S364 (2026-09-23) — the basis moves to Rev33.0, and two rows are added. The S351 verifier (scripts/scorecard_rederive_S351.py) was re-run at the Rev33.0 seal: every theory cell and every deviation cell recomputed from its formula at full precision, 0 disagreements. Rev33.0 moved the engine’s CKM, charm and top comparators onto the source ledger’s PDG 2026 rows; this table already printed those rows, so the seal moved the engine and not the table. Rows 23 and 24 (the Jarlskog invariants JCKM and JPMNS, PI ruling R174-b) are added with their notes N23/N24. The Rev32.11-era correction notes below keep the release names they were written under.
★ RE-DERIVED, S351 (2026-09-19) — the basis moves to Rev32.11; not one number moves with it. This page had declared a Rev32.7 basis since the Rev32.7 seal. Rolling that label is only honest if the rows underneath it were actually checked against the current release, so every theory cell whose formula this table prints was recomputed from that formula at full precision, and every percent and comparator distance was recomputed from theory and comparator under R77 (compute unrounded, round once) and R77-b (a distance uses the error on the side facing the theory value). Fourteen theory cells and eleven deviation cells were re-derived and all twenty-five agree with what is printed — zero disagreements. The method is deliberately not a comparison against another document: the S327h correction below was caused by cells computed from already-rounded inputs, and a second document can carry the same mistake. Arithmetic was checked against arithmetic. Rev32.10 and Rev32.11 rolled the bottom- and top-quark ENGINE INPUTS to PDG 2026; this table’s comparators were already the PDG 2026 values, which is why the seals moved the suite and not the scorecard. Row-level citations below (“A1566, Rev32.6”, “Paper 3, Rev32.2”) name when a decision was taken and are left exactly as they stand — they are history, not currency. Verifier: scripts/scorecard_rederive_S351.py.
★ CORRECTION, S327h (2026-09-11) — seven cells recomputed at full precision. The Scorecard notes (DETAILS column) re-ran every row. Seven printed cells had been computed from numbers that were already rounded, or, in one case, with the wrong side of an asymmetric error. By PI ruling R77, every number is now computed from the unrounded formula and rounded once, and a distance uses the error on the side facing the theory value. Changed: row 11: |Vub| d: −0.17 → −0.18 (|Vub| = 0.003861974 unrounded; −0.17 was the rounded 0.003862 sitting exactly on −0.175) · row 12b: δCKM vs direct γ: +2.60% → +2.61% (68.1297°) · row 12c: bare-φ control: −0.80% → −0.81% (65.5874° vs the global fit); direct d −0.30 → −0.29 (R77-b: below the central value, so the lower error 2.8 applies, not 2.7) · row 18: me: −0.67% → −0.66% (me = 0.507607 MeV unrounded; the suite itself prints −0.66%) · row 19: mb: −0.96% · d = −6.67 → −0.95% · d = −6.64 (4146.17 MeV unrounded; the theory cell still displays 4146) · row 21: muconst: −1.49% → −1.57% (330.725 MeV unrounded against ~336; the theory cell still displays 331) · row 22: Δm² ratio, d = 1 reading: +820% → +821% (0.276393 / 0.030016; the factor 9.21 is unchanged). No theory value, comparator or tier moved, and no row changes status. The sealed papers (Rev32.10) and the Registrar records that quote them still print the earlier figures, except where the Rev32.10 changelog records a fix; the remaining paper corrections are queued for Rev32.11. Found by the ChatGPT drafting lane (A1633) and re-measured independently by the house before this change. Nothing above is edited away; this note is the record that it changed.
★ CHANGED, S328a (2026-09-11) — PI ruling R84. Row 12a: the global-fit comparator is printed in the unit it is published in, 1.154 ± 0.025 rad, and the distance is computed there: d = +1.41 → +1.40 (the degree cells gave +1.41; R84-e). Rows 12a and 12b: the status cells now carry Paper 3’s own sentence that the 5φ⁻⁵ correction is not supported by current data (R84-d). Row 14: the tier cell reads “SM content — not a test of J3” instead of “no tier assigned” (R84-d). Row 16: the suite’s own running endpoint, 168.36 GeV, is printed beside the tree value; whether the row keeps a distance is not yet ruled (R84-f). The colour tally that survived the S324 withdrawal above the table is removed (H200). The tier list below now defines every tier word the table prints (H201). The footer names the mt comparator correctly as the direct-measurement (MC) mass (H199), and the α sentence prints both failure sets the suite records (H204). No theory value moved. The sealed papers keep the earlier figures until Rev32.11. Rev32.10 was sealed at S344 as the referee-rows release; the remaining corrections roll to Rev32.11.
Reading the Status column. exact, anchor and any bracketed qualifier are factual words and are kept verbatim. A bare — in Status means the colour judgement was withdrawn (S324) and nothing replaces it. That is a different thing from — in the Measurement column (deviation —), which means no comparator exists to measure against (a structural input). One glyph, two columns, two meanings — this line is the key.
| # | Observable | Measurement | Tier | Status | Details |
|---|---|---|---|---|---|
| Algebraic identities | |||||
| 1 | φ² + φ⁻²= 3 (axiom) |
| Axiom | exact | N01 note |
| 2 | det(Jvac)φ·1·φ⁻¹ |
| Theorem (AX1) | exact | N02 note |
| 3 | DET-7det(Gram) = 7 |
| Structural input | — | N03 note |
| PMNS — NuFIT 6.1 (2025), IC24 with SK-atm, normal ordering | |||||
| 4 | sin²θ123/(φ⁴+3) |
| Derived-conditional | — | N04 note |
| 4′ | θ12 (°)arctan(√3/φ²) |
| Derived-conditional | — | N04 note |
| 5 | sin²θ237/16 (DET-7) |
| Loaded-correspondence (internal 7/16 identity theorem-grade; octant registration selected against data — A1566, Rev32.6) | lower octant | N05 note |
| 6 | sin²θ13sin⁴(π/8) = (3−2√2)/8 |
| Structural | — | N06 note |
| 7 | δCP (°)−2π/√5 ≡ 199.003 |
| Derived-conditional | — | N07 note |
| CKM — PDG 2026 direct determinations | |||||
| 8 | |Vud|first-row unitarity |
| Loaded | — | N08 note |
| 9 | |Vus|sin(θ12fw)/√6 |
| Loaded (data-selected route) (digit from kernel s1162, Rev32.6; the Rev32.5 print 0.225247 was a hand calculation) | — | N09 note |
| 10 | |Vcb|1/(9√7) |
| Loaded-correspondence (physical attachment: inherits the octant registration; the integer 9 data-selected) / Structural formula — A1566 | — | N10 note |
| 11 | |Vub||Vus||Vcb|/√6 |
| Loaded | — | N11 note |
| 12a | δCKM (°) vs global fitarctan√(3G7) |
| Coincidence-class | — · Paper 3: “the 5φ⁻⁵ correction (+2.54°) is not supported by current data” | N12 note |
| 12b | δCKM (°) vs direct γarctan√(3G7) |
| Coincidence-class | — · Paper 3: “the 5φ⁻⁵ correction (+2.54°) is not supported by current data” | N12 note |
| 12c | δCKM (°) — bare-φ control (no G7 correction)arctan√(3φ) |
| Control (printed beside 12a/b) | not scored — the uncorrected argument sits closer than G7 on both comparators; 28 of 64 sibling corrections land within 1σ, so the numeral’s agreement carries no significance (Paper 3, Rev32.2) | N12 note |
| Gauge | |||||
| 13 | sin²θWφ⁻³ = √5 − 2 |
| Structural (~2% target) | — | N13 note |
| 14 | b1, b2, b341/10, −19/6, −7 |
| SM content — not a test of J3 | — | N14 note |
| Masses — anchor mτ (PDG 2026) | |||||
| 15 | yt (tree)cubic invariant / Peirce ½ |
| Structural (declared) | — | N15 note |
| 16 | mt (GeV)vEW/√2 |
| Structural | cross-scheme · the suite’s own running endpoint 0.967·vEW/√2 = 168.36 GeV (−2.46% against 172.60) | N16 note |
| 17a | mμ tree (MeV)(φ/√5)8/3·√2/10·mτ |
| Structural / loaded | fit gap | N17 note |
| 17b | mμ phys (MeV)tree / (1+δQED) |
| same | — | N17 note |
| 18 | me (MeV)QED-Koide, K = 2/3 |
| Koide-consistent | ext. selector | N18 note |
| 19 | mb (MeV)(7/3)·mτ |
| Structural | cross-scheme | N19 note |
| 20 | mc (MeV)(7/3)·msconst |
| Structural | cross-scheme | N20 note |
| 21 | mu const (MeV)ΛG2·√φ |
| Structural | constituent | N21 note |
| — | mτ (MeV)anchor |
| Input | anchor | N19 note |
| Recorded negative | |||||
| 22 | Δm²21/Δm²3lφ⁻¹/√5 |
| Refuted | falsified 9.21× — this is the d = 1 reading; see 22b | N22 note |
| 22b | mν2/mν3 = R2 (d = 2 rung)1/(φ⁴−1); R2² vs Δm²21/Δm²3l |
| Structural (ladder tier) | Δm² RATIO PREDICTION, asserting m1=0 (PI ruling R144) — m1 drops out of the ratio, so R2² is a direct, JUNO-decidable statement. m1=0 is an assertion of this framework, not a derivation. At JUNO design reach a −2.8% miss becomes −7.73σ (s1184; JUNO’s projection is a declared external input, verify before relying on it) — the row is a falsifier and is printed as one. Previously typed an EDGE TARGET against the m1=0 normal-ordering floor (√ratio 0.17325 vs R2 0.17082, a 1.4–1.8σ tension, Rev32.5); that typing is superseded. Stands only with normal ordering and m1 ≲ 1 meV; d(ν)=2 is selected, not derived (Paper 5, Rev32.2) | N22 note |
| 23 | JCKM (Jarlskog)s12s23s13c12c23c13² sinδ from rows 9, 10, 11, 12a |
| Diagnostic | counted in no tally — a function of four rows already scored | N23 note |
| 24 | JPMNS (Jarlskog)from rows 4, 5, 6, 7 |
| Diagnostic | not yet a constraint — the comparator is 0.94σ from zero; counted in no tally | N24 note |
Axiom assumed, not derived; the row checks the identity the axiom states. Theorem proved inside the algebra from the axiom named in brackets. Structural input a structural premise entered as an input; there is nothing to measure it against. Derived-conditional derived inside the framework with its premises printed beside it. Loaded-correspondence two-axis typing: the internal identity is theorem-grade, the physical attachment is a loaded correspondence (A1566, Rev32.6). Structural the algebraic form is fixed, but a scale, scheme or matching is not; these rows are compared across schemes and their d is a comparator distance, not a tension. Loaded a route was selected by comparing against data (the CKM first row was chosen against kaon data). Coincidence-class a numerical match whose motivation is still missing (the δCKM G7 motivation is the open selection item). Control printed beside another row to show what the uncorrected formula gives; not scored. SM content — not a test of J3 Standard Model content the table reproduces; it is not a test of the framework’s algebra. Koide-consistent consistent with the data under the external empirical Koide rule K = 2/3, which is an input, not derived. Input a measured value entered as an anchor; it is not a prediction. Refuted the framework value is wrong against the data and is kept on the page. Diagnostic computed from other rows and printed to be read, not scored; not counted in any tally (PI ruling R174-b, rows 23 and 24, S364).
This list is generated from the tier cells the table prints (14 words). A bracket after a tier word — for example (AX1), (declared), (ladder tier) — qualifies that row only; “Structural / loaded” carries both words; “same” repeats the tier of the row above.
Tiers follow the house scorecard's own marking against PDG 2026 and NuFIT 6.1; the colour reading that once sat beside them was withdrawn at S324 (see the notice above the table). Where a row's deviation grew during 2026 it did so entirely because the experimental error bars shrank — no theory number moved. The three quark-mass rows compare tree-level or constituent values with comparators in another scheme: mb and mc against MS-bar values, mt against the direct-measurement (MC) mass. No scheme conversion is applied to any of them, so the percent offsets stand, the σ-style claims do not, and the suite says so.
The March 2026 version of this page listed twenty observables, all marked CLOSED / NUMERICAL / PROPOSED, and claimed "four inputs, zero free parameters". At Rev29 (August 2026) the framework re-tiered every row by its actual derivation chain and retired the zero-parameter language. Rows that used to be sold as closed — the fine-structure constant, the Higgs mass, MW/MZ, the muon g−2 — are not on this table because the current suite does not carry a scorecard-grade claim for them: α in particular is carried symbolically and fenced, with its derivation attempts are recorded as failures in two sets: three routes at S214 (boundary-volume, bulk-residue, KK-ratio; Appendix X) and five independent legs in Appendix N (the Wyler route, golden-numerology density, noble/KAM robustness, the topological selector, the decay route). The mixing sector now stands at two of eight rows derived-conditional (θ12, δCP); the atmospheric octant and |Vcb| carry the two-axis typing — internal identity theorem-grade, physical attachment Loaded-correspondence (A1566, Rev32.6); the CKM first row is loaded; δCKM is coincidence-class; and one row (the neutrino mass-squared ratio) is a genuine, printed falsification.
Sources: Rev33.1 suite (Papers 0–9, Appendix X input ledger and its shipped source ledger, Paper 7 falsification note); house scorecard Trackers/PDG_SCORECARD_S286.md with the S294 weak-angle refresh; comparators PDG 2026 Review of Particle Physics and NuFIT 6.1 (Nov-2025 dataset). Errors in this table are ours; corrections welcome at ufophysics4all [at] gmail.com.