pith. sign in
def

V_cb_err

definition
show as:
module
IndisputableMonolith.Physics.CKMGeometry
domain
Physics
line
52 · github
papers citing
none yet

plain-language theorem explainer

V_cb_err supplies the experimental uncertainty 0.00085 on the CKM matrix element |V_cb|. Researchers verifying geometric derivations of mixing angles against PDG data would cite this bound when checking the edge-dual prediction. The declaration is a direct numeric assignment with no computation or lemmas.

Claim. The uncertainty on the observed value of the CKM matrix element $|V_{cb}|$ is $0.00085$.

background

The CKMGeometry module derives the three CKM matrix elements from cubic ledger geometry and the fine-structure constant. The edge-dual coupling fixes |V_cb| = 1/(2 * cube_edges 3) = 1/24 exactly. V_cb_err supplies the tolerance used to compare this rational prediction against the experimental central value 0.04182.

proof idea

Direct definition that assigns the real constant 0.00085. No lemmas, tactics, or reductions are applied.

why it matters

V_cb_err closes the experimental comparison in T11Cert and V_cb_match, confirming that the geometric prediction 1/24 lies inside the stated error. It thereby supports the T11 claim that |V_cb| arises from cube-edge geometry rather than a free parameter, feeding the CKMElementScoreCardCert structure that certifies all three mixing angles.

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