The Pasture

The current physical θ23 row is therefore Loaded-correspondence; the number and the internal theorem do not move.

Phrasings such as “100/100,” “all green,” “zero free parameters” (for the suite as a whole), “closed,” and “emergence” are retired except where a Proved-tier theorem licenses them.

Two physical rows sit at derived-conditional, each with its premise printed beside it rather than PMNS and δ buried: θ12 CP .

Two physical rows sit at derived-conditional, each with its premise printed beside it rather than PMNS and δ buried: θ12 CP .

The bounded-domain programme is retired as a derivation of α.

current value is |Vus | = 0.225256 (the exact framework angle arctan( 3/ϕ2 ) = 33.4880◦ , printed from the kernel line s1162;

current value is |Vus | = 0.225256 (the exact framework angle arctan( 3/ϕ2 ) = 33.4880◦ , printed from the kernel line s1162;

The first row is Loaded: Route B was selected after comparison with kaon data.

The current framework value is the mismatch-geometry branch sin2 θ23 = 7/16, rather than the older higher-octant phenomenological placeholder — printed since Rev32.6 as the sharp loaded lower-branch target of the selected corre- spondence (A1566: the octant r…

The current physical θ23 row is therefore Loaded-correspondence; the number and the internal theorem do not move.

δCP = −2π/ 5 = −160.997◦

δCP = −2π/ 5 = −160.997◦

δCP = −2π/ 5 = −160.997◦

That application is deprecated. The authoritative CP phase is δCP = −2π/ 5 = −160.997◦ from the V3 rotation theorem (⋆100; Paper 5, Appendix C), which does not involve PSL(2, 7) at all;

The number is therefore retired — a legacy null-cone artifact superseded by the current frame, not a parked candidate.

The rows of this subsection therefore stand at Structural (mathematical tier), Loaded-correspondence (physical attachment) and Reproduced (numerical status): the ratio is reproduced, not derived.

The blanket “≤ 2-parameter completion is impossible” claim is therefore withdrawn; the honest statement is that surveyed one-parameter forms fail and no universal ≤ 2-parameter no-go is proved.

The Det2 object is therefore retired as a selector of AX6pol ; A667 remains correct for the 50◦ object only and does not constrain AX6pol .

the previous version of this sketch concluded “zero entries for all triplet components at every loop order” from the block structure; that inference is withdrawn — Schur permits a nonzero scalar on each triplet block,

the blanket “fully protected” claim is scoped Rev32.1 pending the generator census (A1538 F5).

The half-angle π/8 is therefore motivated by the moment structure and chosen by the readout rule

It drops to coincidence-class and stays there until G7 is derived. The number is not withdrawn; the rating is.

Degenerate systems can lower dimension in principle, so any proposed selector must derive its everywhere-active equality locus independently and clear the circularity bar.

The single label “W ” is retired suite-wide in favour of the pair.

a real-form correspondence, not a nontrivial bundle. The two signature presentations are two real structures in one complexified Albert fibre;

Charging these as one “W bit” was a conflation; the row is retired and replaced by the four-structure accounting entry.

The finite-sign price row is retired and replaced by the minimal-dilation theorem (Theorem 9.3). “Zero continuous” stands; the discrete residue did not.

The Rev27-era headline (a bit total plus a dimension count, with a surplus) is withdrawn pending typed rebuild: its 17-dimensional decomposition is internally inconsistent as typed — confirmed at primary source, lane-caught, and logged as a house casualty bel…

D1125 is killed as a selector-deriving microscopic parent action. It survives as a mathematically consistent loaded finite effective action once TAM , the copy metric and the discrete marking are declared inputs — a demotion of provenance, not an algebraic in…

The correct source model (correcting the retired house doorway, casualty #4) is a single common selector contrast, not independent channel patterns.

with the relative lift axis ∆θ unpinned, both character types admit nonzero action-critical equivariant points, so the action’s “vote” for the root line is common-lift-conditional only (casualty #5, corrected in place).

the depth-exclusion cut retired ([M, Qem ] = 0 forbids identifying the two Z4 labels but not depth sourcing).

the functional is specified, not built, and no run of it exists.

mµ follows from the algebraic ratio formula [A616, A618], re-typed Structural / Loaded-correspondence / Reproduced above and not citable as zero-parameter (Rev29 );

mµ follows from the algebraic ratio formula [A616, A618], re-typed Structural / Loaded-correspondence / Reproduced above and not citable as zero-parameter (Rev29 );

The electron mass is determined by the external empirical relation K = 2/3 acting on that mµ chain and the measured mτ anchor [A636, A637].

mτ is the external anchor; mµ follows from the algebraic ratio formula [A616, A618],

mτ is the external anchor; mµ follows from the algebraic ratio formula [A616, A618],

The mb row must be quoted with its offset: mb = (7/3)mτ = 4146 MeV against PDG 2026 mb (mb ) = 4186 ± 6 MeV is −0.96% and dcmp = −6.67 (cross-scheme, no status).

The mb row must be quoted with its offset: mb = (7/3)mτ = 4146 MeV against PDG 2026 mb (mb ) = 4186 ± 6 MeV is −0.96% and dcmp = −6.67 (cross-scheme, no status).

The mb row must be quoted with its offset: mb = (7/3)mτ = 4146 MeV against PDG 2026 mb (mb ) = 4186 ± 6 MeV is −0.96% and dcmp = −6.67 (cross-scheme, no status).

The charm bridge value mc = 1291.9 MeV lies +1.49% above the PDG 2026 MS comparator mc (mc ) = 1272.9 ± 4.5 MeV.

The charm bridge value mc = 1291.9 MeV lies +1.49% above the PDG 2026 MS comparator mc (mc ) = 1272.9 ± 4.5 MeV.

The charm bridge value mc = 1291.9 MeV lies +1.49% above the PDG 2026 MS comparator mc (mc ) = 1272.9 ± 4.5 MeV.

The charm bridge value mc = 1291.9 MeV lies +1.49% above the PDG 2026 MS comparator mc (mc ) = 1272.9 ± 4.5 MeV.

The old ansatz value −133.36◦ is superseded.

δCP = −2π/ 5 = −160.997◦

δCP = −2π/ 5 = −160.997◦

δCP = −2π/ 5 = −160.997◦

sin2 θ13 = sin4 (π/8)

sin2 θ13 = sin4 (π/8)

current: θ12 , δCP Derived-conditional, the physical θ23 octant Loaded-correspondence — A1566

The current framework value is the mismatch-geometry branch sin2 θ23 = 7/16, rather than the older higher-octant phenomenological placeholder

first row Loaded, |Vcb | Loaded-correspondence attach- ment (physical) / Structural formula

|Vcb | 1/(9 7) = 0.041996

|Vub | |Vus ||Vcb |/ 6 = 0.003862

|Vcb | 1/(9 7) = 0.041996

We therefore carry ϕ−3 as a ∼ 2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction.

We therefore carry ϕ−3 as a ∼ 2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction.

We therefore carry ϕ−3 as a ∼ 2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction.

We therefore carry ϕ−3 as a ∼ 2% structural tree-level target on the electroweak curve, not as a completed Z-pole precision prediction.

current value is |Vus | = 0.225256 (the exact framework angle arctan( 3/ϕ2 ) = 33.4880◦ , printed from the kernel line s1162;

current value is |Vus | = 0.225256 (the exact framework angle arctan( 3/ϕ2 ) = 33.4880◦ , printed from the kernel line s1162;

current value is |Vus | = 0.225256 (the exact framework angle arctan( 3/ϕ2 ) = 33.4880◦ , printed from the kernel line s1162;

the legacy vacuum normalization diag(ϕ2 , 1, 0) is superseded by the current {ϕ, 1, ϕ−1 } frame, the structural statements unaffected.

The compact colour algebra su(3) (dimension 8) cannot embed in the compact part available to the loaded subimage, whose maximal compact dimension is 6 < 8.

algebraic replication of three generations inside a single J3 (Os ) is excluded: three families need 3 × 16 = 48 fermionic dimensions, which do not fit in the 27 (8+8+8 = 24 off-diagonal, and triality maps 8+ → 8− → 8v , so the blocks are not three gauge-iden…

The paper therefore keeps the structure simple: the angle set, the phase formula, the current comparison to NuFIT 6.1, and the DUNE-era test scenario.