V_ub
plain-language theorem explainer
This definition supplies the CKM matrix element V_ub as the fine-structure leakage term derived from the phi-ladder rung structure. Researchers modeling quark mixing and the Jarlskog invariant cite it when comparing Recognition Science predictions to measured |V_ub|. The implementation is a one-line abbreviation that aliases the geometric prediction V_ub_pred.
Claim. The CKM matrix element satisfies $V_{ub} := V_{ub, pred}$ where $V_{ub, pred}$ equals half the fine-structure constant (fine_structure_leakage) in RS-native units.
background
The module constructs the CKM matrix from rung differences tau_g = 0, 11, 17 on the phi-ladder, producing angles theta_ij ~ phi^{-Delta tau /2} and a CP phase from residue asymmetry. The Jarlskog invariant then appears as the forced dimensionless output Im(V_ud V_cb V_ub* V_cd*) with no free parameters. V_ub_pred is defined upstream in CKMGeometry as fine_structure_leakage and documented as half the fine-structure constant.
proof idea
The declaration is a one-line wrapper that aliases V_ub_pred from CKMGeometry.
why it matters
It populates s13_w and enters jarlskog_witness_pos, which proves the witness is positive. The definition completes the geometric extraction of all CKM elements from the phi-ladder and ledger topology, linking to the eight-tick octave and the alpha band (137.030, 137.039). It touches the open question of exact numerical match to experimental |V_ub|.
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