pith. sign in
def

jarlskogInvariant

definition
show as:
module
IndisputableMonolith.StandardModel.CKMMatrix
domain
StandardModel
line
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plain-language theorem explainer

The declaration supplies the numerical value 3 × 10^{-5} for the Jarlskog invariant that quantifies CP violation from the complex phase η in the CKM matrix. A researcher working on quark mixing in Recognition Science cites this constant to bound the size of CP-violating effects. The definition is a direct assignment of the approximate value tied to the 8-tick asymmetry.

Claim. The Jarlskog invariant is the real number $3 × 10^{-5}$.

background

The CKM matrix module derives the 3×3 unitary quark mixing matrix from φ-quantized angles linked to the 8-tick phase structure. Wolfenstein parametrization expresses the elements via λ, A, ρ, η, with imaginary parts in V_ub and V_td generating the CP-violating phase. The Jarlskog invariant J measures the area of the unitarity triangle and is set to the approximate experimental scale 3 × 10^{-5}.

proof idea

The definition is a one-line wrapper that directly assigns the constant 3e-5.

why it matters

This definition supplies the input constant for the downstream theorem cp_violation_small, which proves the invariant is positive yet below 10^{-4}. It quantifies the small CP-violating phase arising from 8-tick asymmetry in the Recognition Science derivation of the CKM matrix, connecting to the T7 eight-tick octave landmark.

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