Skip to main content

A registered result in its source context

Original ledger classification: Identity/Lattice [I]/[L] + [P] geometry

Recorded statement: Q geometry (Theorem Q): Sigma-split Q_+=(Q+SigQSig)/2=[[3,0,0],[0,2,0],[0,2,1]] (chi=(t-1)(t-2)(t-3), Spec={1,2,3}=A3 exponents), Q_-=[[0,1,0],[3,0,0],[3,0,0]] (chi=t(t^2-3), Q_-^2|supp=3=N_fam). UNIQUE nonneg-integer Q with rows(4,5,6),…

Statement, assumptions and sources

Paper context: Standard Model and flavor structure

The exact identifier, original classification and full claim are available below.

The source wording and classification below are preserved as recorded. A paper link, shared script or authored topic relation does not upgrade the claim or report a new proof run. Read later reviewed findings separately.

Read the exact registered claim and its dependencies

FLAV.QGEO.02

Original ledger classification: Identity/Lattice [I]/[L] + [P] geometry

Original claim text

Q geometry (Theorem Q): Sigma-split Q_+=(Q+SigQSig)/2=[[3,0,0],[0,2,0],[0,2,1]] (chi=(t-1)(t-2)(t-3), Spec={1,2,3}=A3 exponents), Q_-=[[0,1,0],[3,0,0],[3,0,0]] (chi=t(t^2-3), Q_-^2|supp=3=N_fam). UNIQUE nonneg-integer Q with rows(4,5,6), cols(9,5,1), chi_Q+, chi_Q- (enumeration) => K=R+Q*Sigma is the second Sigma-shadow of the same parabolic flavor operator. Algebraic normal form [I]/[L]; D4-equivariant parabolic realisation of Q_+/Q_- on P1\\mu4 remains [P] (GATE.QGEO)

Original classification detail

Identity/Lattice [I]/[L] + [P] geometry

Dependencies as recorded

FLAV.KQ.01; GATE.QGEO.01

Open the original ledger source, row 68

Location recorded in the ledger

These document locations are recorded directly on the ledger row. They are document level navigation, rather than a newly inferred section citation.

Navigation through a shared verification script

These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.

Registered verification modules

  • v50_q_geometry.pyRegistered verification module · flavor
    Read the description recorded in the module registry

    Q geometry: Q₊ diag(3,2,1)-block; Q unique under budgets

A registered module is a source reference. Its presence does not assert that the module was executed in this snapshot.