pith. sign in
theorem

row_vub_eq_leakage

proved
show as:
module
IndisputableMonolith.Physics.CKMElementScoreCard
domain
Physics
line
44 · github
papers citing
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plain-language theorem explainer

The equality sets the RS geometric prediction for the CKM element |V_ub| equal to the fine-structure leakage term alpha/2. CKM phenomenologists comparing cube-derived magnitudes to PDG data would cite this when checking the V_ub row. The proof is a direct one-line wrapper invoking the upstream vub_derived theorem.

Claim. The RS-predicted CKM element satisfies $V_{ub}^{pred} = alpha/2$, where the right-hand side is the parity-split leakage between non-adjacent generations.

background

The module develops Phase 2 CKM predictions from cube geometry. V_ub_pred is defined in CKMGeometry as the fine_structure_leakage term. fine_structure_leakage itself is defined in MixingGeometry as Constants.alpha / 2 and represents the coupling between first and third generations mediated by vacuum polarization across the cube diagonal of length sqrt(3).

proof idea

This is a one-line wrapper that applies the vub_derived theorem from MixingDerivation after unfolding V_ub_pred and fine_structure_leakage.

why it matters

The result supplies the V_ub equality used inside the downstream ckmElementScoreCardCert_holds theorem that assembles the full certified score card. It completes the geometric prediction step for the P2-CKM phase, tying the alpha band and the cubic ledger for three-generation torsion overlap to the Recognition Science constants.

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