pith. sign in
def

V_ub_err

definition
show as:
module
IndisputableMonolith.Physics.CKMGeometry
domain
Physics
line
55 · github
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plain-language theorem explainer

V_ub_err fixes the experimental tolerance on the CKM element V_ub at 0.00011 for use in geometric matching. CKM phenomenology groups would cite this constant when testing ledger-derived predictions against data. The definition is a direct assignment of the real constant 0.00011.

Claim. The uncertainty assigned to the CKM matrix element $|V_{ub}|$ is defined to be $0.00011$.

background

The CKMGeometry module formalizes derivation of the CKM mixing angles from cubic ledger geometry and the fine-structure constant. Module documentation identifies |V_ub| with the fine-structure leakage (theta-13 coupling) given by alpha/2, yielding the prediction 0.00365 against the observed value 0.00369(11). Upstream results supply fine_structure_leakage as Constants.alpha / 2 and V_ub as the corresponding predicted value. The local theoretical setting is T11, which treats the three CKM elements as geometric couplings on the ledger.

proof idea

This is a one-line constant definition that directly assigns the real number 0.00011.

why it matters

The bound is consumed by the certification structure CKMElementScoreCardCert and the theorem row_V_ub to verify that the geometric prediction lies inside experimental tolerance. It supports V_ub_match, which confirms the fine-structure leakage prediction matches data to better than 1 sigma using the alpha interval bounds. In the Recognition framework it closes the verification step for the theta-13 term in T11.

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